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Paper Citation Record · LEDGER

The Smarr formula within the Geroch-Held-Penrose formalism

As of 20 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2412.09682.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.09682 v2

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T17:04:37.944748Z

measured 56 of 56 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T22:47:17.437937Z

measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

55 of 55 outbound references displayed

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  • verified fuzzy47
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Outbound references

Observation 62d4b522-436c-495c-a0b2-43e07c4d1aa0 · outbound

This paper cites Hawking, Black holes in general relativity , Communications in Mathematical Physics 25 (1972) 152–166.

The Smarr formula within the Geroch-Held-Penrose formalism Hawking, Black holes in general relativity , Communications in Mathematical Physics 25 (1972) 152–166

Reference 1

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source=pdf_text observed=2026-08-11T17:04:36.194738Z digest=sha256:87c8514b3cad65a53b0bbbcd6e102cb6f00535daf66e1b542089664d8bbafdd7

Observation 957fc430-920c-4751-af39-ec9aafb17cd5 · outbound

This paper cites Woolgar, Bounded area theorems for higher-genus black holes , Classical and Quantum Gravity 16 (1999) 3005–3012.

The Smarr formula within the Geroch-Held-Penrose formalism Woolgar, Bounded area theorems for higher-genus black holes , Classical and Quantum Gravity 16 (1999) 3005–3012

Reference 2

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source=pdf_text observed=2026-08-11T17:04:36.234642Z digest=sha256:933d3759c26460d4f476755b3232307a7a2be86fba9f5967b5ec62499a256652

Observation 25447b14-24a6-49ef-8282-50ef4c43358a · outbound

This paper cites Kontou and V.

The Smarr formula within the Geroch-Held-Penrose formalism Kontou and V

Reference 3

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Observation ac91c3ac-0fd1-4757-aac8-2b8f34a6ebf1 · outbound

This paper cites an unresolved cited work.

The Smarr formula within the Geroch-Held-Penrose formalism Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-11T17:04:36.104741Z digest=sha256:19ed1531729f3926141eaa04581744dd1f813e30e74fdb6a439f1e4629b29f85

Observation 746e8def-fdec-48a6-b30a-cc79eb79982a · outbound

This paper cites Christodoulou and R.

The Smarr formula within the Geroch-Held-Penrose formalism Christodoulou and R

Reference 5

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source=pdf_text observed=2026-08-11T17:04:36.348245Z digest=sha256:ed7c32375206fc396befd0c9c7b586921b416cb0a5e5c9e1d0894065bbe4654c

Observation 7eff246d-013e-46c1-aca6-cafab79dc4b3 · outbound

This paper cites Harvie, A penrose-type inequality for static spacetimes , (2024), [ gr-qc/2410.12203].

The Smarr formula within the Geroch-Held-Penrose formalism Harvie, A penrose-type inequality for static spacetimes , (2024), [ gr-qc/2410.12203]

Reference 6

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source=pdf_text observed=2026-08-11T17:04:36.396538Z digest=sha256:870d05a08e2b1b58d72724dfa7b3415c25ee82f6afb0d0200f1347fa20fc5309

Observation ce4ebe3c-85a1-4610-afd3-fd07d2558124 · outbound

This paper cites Bekenstein, Black holes and entropy , Physical Review D 7 (1973) 2333–2346.

The Smarr formula within the Geroch-Held-Penrose formalism Bekenstein, Black holes and entropy , Physical Review D 7 (1973) 2333–2346

Reference 7

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source=pdf_text observed=2026-08-11T17:04:36.440925Z digest=sha256:f4b7e4d08ab1ca41e85785f7e59a5718e32a84214b4f9b244e7065c6ee4134da

Observation e7b4ac95-200f-48f2-8c96-8bd0c7937bba · outbound

This paper cites Wald, Black hole entropy is the noether charge , Physical Review D 48 (1993) 3427–3431.

The Smarr formula within the Geroch-Held-Penrose formalism Wald, Black hole entropy is the noether charge , Physical Review D 48 (1993) 3427–3431

Reference 8

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source=pdf_text observed=2026-08-11T17:04:36.474741Z digest=sha256:90ccc26ca2fef108fb5bb63d80da714e9ff794d6e7485ee5ccfb0262524f897c

Observation c2f19c06-7fe9-412d-9d1d-e228844a9172 · outbound

This paper cites Christodoulou, Reversible and irreversible transformations in black-hol e physics , Physical Review Letters 25 (1970) 1596–1597.

The Smarr formula within the Geroch-Held-Penrose formalism Christodoulou, Reversible and irreversible transformations in black-hol e physics , Physical Review Letters 25 (1970) 1596–1597

Reference 9

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source=pdf_text observed=2026-08-11T17:04:36.304799Z digest=sha256:22453eb16f0ae0b726c3bf765e5db42fa47a6021e8ebeac851a992e13352f792

Observation 8a94e25c-d683-4a30-98cd-7f59502b080c · outbound

This paper cites Padmanabhan, Thermodynamical aspects of gravity: new insights , Reports on Progress in Physics 73 (2010) 046901.

The Smarr formula within the Geroch-Held-Penrose formalism Padmanabhan, Thermodynamical aspects of gravity: new insights , Reports on Progress in Physics 73 (2010) 046901

Reference 10

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source=pdf_text observed=2026-08-11T17:04:36.564816Z digest=sha256:6973bbc5e62e27cbc3fe61b1c0c3bb994768c546ba651f254b8ef8dea319b753

Observation b585286a-3903-43ab-a14f-af2826a749df · outbound

This paper cites Bamba and C.-Q.

The Smarr formula within the Geroch-Held-Penrose formalism Bamba and C.-Q

Reference 11

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Observation 3cb76164-6c47-4ce0-9b45-903173e496dd · outbound

This paper cites Peralta and S.

The Smarr formula within the Geroch-Held-Penrose formalism Peralta and S

Reference 12

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source=pdf_text observed=2026-08-11T17:04:36.653424Z digest=sha256:3df61e6268e97fd4f65fafd1563da849dd27dd678329db6f595f60ebedc4bea8

Observation a47e9b64-b385-4267-835d-e790d1203a03 · outbound

This paper cites Some Speculations about Black Hole Entropy in String Theory.

The Smarr formula within the Geroch-Held-Penrose formalism Some Speculations about Black Hole Entropy in String Theory

Reference 13

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source=pdf_text observed=2026-08-11T17:04:36.685390Z digest=sha256:c9ccfcc99bcb352d884af27d6a53b00e70c819560174aee8eb11562b7ddfc937

Observation 4575cfec-ab0e-4f6d-ab68-055b88fa11c7 · outbound

This paper cites Faraoni, Black hole entropy in scalar-tensor and ƒ(r) gravity: An overview , Entropy 12 (2010) 1246–1263.

The Smarr formula within the Geroch-Held-Penrose formalism Faraoni, Black hole entropy in scalar-tensor and ƒ(r) gravity: An overview , Entropy 12 (2010) 1246–1263

Reference 14

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source=pdf_text observed=2026-08-11T17:04:36.518713Z digest=sha256:3c81c62716e1745981ce51019d5b43ae19bf9227763159109d3bc262fb463f92

Observation 39a9db37-7ebb-49ca-a9e9-8a4b87ded6d9 · outbound

This paper cites Lee, Are black holes black bodies? , Nuclear Physics B 264 (1986) 437–486.

The Smarr formula within the Geroch-Held-Penrose formalism Lee, Are black holes black bodies? , Nuclear Physics B 264 (1986) 437–486

Reference 15

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source=pdf_text observed=2026-08-11T17:04:36.744746Z digest=sha256:130d0838349b5f5b8b1464c9115d44259047c58a746e10f466a9b467afa59569

Observation ab8a3215-696a-4fe7-bd19-e2a96dcdb7cb · outbound

This paper cites Dalui, B.R.

The Smarr formula within the Geroch-Held-Penrose formalism Dalui, B.R

Reference 16

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Observation 459e1053-dae4-4891-afac-fd7addfacafd · outbound

This paper cites Bardeen, B.

The Smarr formula within the Geroch-Held-Penrose formalism Bardeen, B

Reference 17

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source=pdf_text observed=2026-08-11T17:04:36.780175Z digest=sha256:d6951776e885ca451dc06c8e07f5edb5640f417527659983da77c864d13d847a

Observation b06f867a-9793-43c1-935d-765cd74d3134 · outbound

This paper cites Appels, R.

The Smarr formula within the Geroch-Held-Penrose formalism Appels, R

Reference 18

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source=pdf_text observed=2026-08-11T17:04:36.804767Z digest=sha256:2428dc5fb889d879b0d5bbbac2280a983b9f24f2debf1fba3593643fb7501bbd

Observation fd855a54-d1cd-48e5-b5dd-b273b18b771b · outbound

This paper cites Hawking, Particle creation by black holes , Communications In Mathematical Physics 43 (1975) 199–220.

The Smarr formula within the Geroch-Held-Penrose formalism Hawking, Particle creation by black holes , Communications In Mathematical Physics 43 (1975) 199–220

Reference 19

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source=pdf_text observed=2026-08-11T17:04:36.701868Z digest=sha256:6054f3047a071d92c437a557948894067b2ab8fc78fdc6b1dab7687d587fbf1c

Observation 49b1e086-2557-4b36-9d03-81e924774ba2 · outbound

This paper cites Hayward, General laws of black-hole dynamics , Physical Review D 49 (1994) 6467–6474.

The Smarr formula within the Geroch-Held-Penrose formalism Hayward, General laws of black-hole dynamics , Physical Review D 49 (1994) 6467–6474

Reference 20

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source=pdf_text observed=2026-08-11T17:04:36.904740Z digest=sha256:cd771074c84cfd4f968820bbae3e24ae93b474e119ae628edbfef7aa6da8cd64

Observation 54e0a3e7-2898-4ac9-bacd-1f2798d6ac9d · outbound

This paper cites Hayward, Spin coefficient form of the new laws of black hole dynamics , Classical and Quantum Gravity 11 (1994) 3025–3035.

The Smarr formula within the Geroch-Held-Penrose formalism Hayward, Spin coefficient form of the new laws of black hole dynamics , Classical and Quantum Gravity 11 (1994) 3025–3035

Reference 21

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source=pdf_text observed=2026-08-11T17:04:36.950813Z digest=sha256:b631244b77233559f6b0f08b5c215d13d1d18192f6e6a5f1f8df6181a87deb77

Observation b5b28d1e-e6de-470f-b5fd-ca780f73fecc · outbound

This paper cites In this particular case, the spacetime is of type D and the congruen ces associated to the principal null directions are geodesic, shear-free and non-rotating.

The Smarr formula within the Geroch-Held-Penrose formalism In this particular case, the spacetime is of type D and the congruen ces associated to the principal null directions are geodesic, shear-free and non-rotating

Reference 22

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Observation 46c68eea-caec-4559-ab4f-1d5fdca18aa0 · outbound

This paper cites Nielsen and J.H.

The Smarr formula within the Geroch-Held-Penrose formalism Nielsen and J.H

Reference 23

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Observation 3aeb7ad8-bd5f-426e-96e4-54ca0d04b55b · outbound

This paper cites Gibbons and S.W.

The Smarr formula within the Geroch-Held-Penrose formalism Gibbons and S.W

Reference 24

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source=pdf_text observed=2026-08-11T17:04:36.854758Z digest=sha256:cfc2a0545098c451e60a65b1580e24d7762ac85aee2e52b74e6cc70140efa16e

Observation 8d6fa240-df4f-4a5c-9e68-93fb7cd21eaa · outbound

This paper cites Eling, R.

The Smarr formula within the Geroch-Held-Penrose formalism Eling, R

Reference 25

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source=pdf_text observed=2026-08-11T17:04:37.003380Z digest=sha256:6a34f816c14c9f75bd89c4942a35621f078d17d021840efa07a3f923c9913174

Observation 710a9ad3-8c2b-4c0a-8eb6-27713a0aea4e · outbound

This paper cites Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes.

The Smarr formula within the Geroch-Held-Penrose formalism Classical and Quantum Thermodynamics of horizons in spherically symmetric spacetimes

Reference 26

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source=pdf_text observed=2026-08-11T17:04:37.011187Z digest=sha256:9b05eaa8fa04853d8f8f61260b278c515c0da4d78dedf9b82cabaa86a7224726

Observation 09deef0c-3eaf-4706-8e4e-b5662e956166 · outbound

This paper cites Fodor, K.

The Smarr formula within the Geroch-Held-Penrose formalism Fodor, K

Reference 27

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source=pdf_text observed=2026-08-11T17:04:36.976532Z digest=sha256:7cfeb3a9750e67e72e98ee4d2821d1cd4cd1011edffca8599985d2b757873eb6

Observation 30aafdd1-21fb-40f9-8919-2f2e3db67649 · outbound

This paper cites This coincides with the energy term obtained by Padmanabhan, E = a/2, for the static and spherically symmetric case [10].

The Smarr formula within the Geroch-Held-Penrose formalism This coincides with the energy term obtained by Padmanabhan, E = a/2, for the static and spherically symmetric case [10]

Reference 28

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source=pdf_text observed=2026-08-11T17:04:36.024741Z digest=sha256:e839fffea883ffe1ae0def1cfc3331f00ed7088775ea011e098be412f5d0021d

Observation bf2af445-31fa-4454-9fec-7310350f040d · outbound

This paper cites Jacobson, Thermodynamics of spacetime: The einstein equation of stat e, Physical Review Letters 75 (1995) 1260–1263.

The Smarr formula within the Geroch-Held-Penrose formalism Jacobson, Thermodynamics of spacetime: The einstein equation of stat e, Physical Review Letters 75 (1995) 1260–1263

Reference 29

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Observation 7ad31908-69b3-4b05-989c-95e47c9c157e · outbound

This paper cites Cvetiˇ c, G.W.

The Smarr formula within the Geroch-Held-Penrose formalism Cvetiˇ c, G.W

Reference 30

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source=pdf_text observed=2026-08-11T17:04:37.073909Z digest=sha256:4aa37f0bb76360ef2cd847953acee875612ec8a2237b61525cb37d39bc604425

Observation adc7d56f-6300-400a-be49-8864f5666757 · outbound

This paper cites ( 28), this can be rewritten as χ(H) 4 √ A A0 − 1 4π √ A A0 þ′ρA = 1 4π √ A A0 (Φ ph 11 + 3Λ ph)A, (32) which will be referred as the Penrose-Rindler Smarr formula.

The Smarr formula within the Geroch-Held-Penrose formalism ( 28), this can be rewritten as χ(H) 4 √ A A0 − 1 4π √ A A0 þ′ρA = 1 4π √ A A0 (Φ ph 11 + 3Λ ph)A, (32) which will be referred as the Penrose-Rindler Smarr formula

Reference 31

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source=pdf_text observed=2026-08-11T17:04:36.054738Z digest=sha256:4c36343ae8811f9affb2df47b40a279722fd84a59680ea14ba848462cc6ae1bd

Observation c6a3e7ed-0230-4ee0-898f-9baabce28039 · outbound

This paper cites Kastor, S.

The Smarr formula within the Geroch-Held-Penrose formalism Kastor, S

Reference 32

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source=pdf_text observed=2026-08-11T17:04:37.021105Z digest=sha256:56814b101f3e99dfe620d7bbcab3def6260bd8e7627d7d04b1f564c4ad49c9c4

Observation ab1e7712-f214-4001-9231-27aebf139fe0 · outbound

This paper cites Smarr, Mass formula for kerr black holes , Physical Review Letters 30 (1973) 71–73.

The Smarr formula within the Geroch-Held-Penrose formalism Smarr, Mass formula for kerr black holes , Physical Review Letters 30 (1973) 71–73

Reference 33

Resolution
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raw_fallback, observed 2026-08-11T17:04:40.254746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.028339Z digest=sha256:4926944b8e083126eac62271f1a8f799de70834b81a4c845457bd8b3fe1580ac

Observation 7af40128-1e32-4d8f-814a-2aee594a7066 · outbound

This paper cites Kubizˇ n´ ak, R.B.

The Smarr formula within the Geroch-Held-Penrose formalism Kubizˇ n´ ak, R.B

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:40.115828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.054817Z digest=sha256:ad61f950362f4a06db2e76d17e20c609bfd46a626ddce279fafa6d6c07b90dc3

Observation fd9098d3-55d2-43a9-b8b1-0d22eff8ccbf · outbound

This paper cites Newman and R.

The Smarr formula within the Geroch-Held-Penrose formalism Newman and R

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.834747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.353481Z digest=sha256:4aa74e6d330c7101a7cde84f28dcf3a588e6731e6a08fba2ea69fa5199711683

Observation 8d615196-fe90-46c0-8ee0-ca9654bbd3d5 · outbound

This paper cites Kothawala and T.

The Smarr formula within the Geroch-Held-Penrose formalism Kothawala and T

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.982005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.105440Z digest=sha256:ed6dfc012458109c2ae71760c4092a2825374730ae4b995669a392c86415cc03

Observation edb70917-5831-42d5-ba0a-328767610895 · outbound

This paper cites Kothawala, S.

The Smarr formula within the Geroch-Held-Penrose formalism Kothawala, S

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.938989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.198991Z digest=sha256:96af6cd368f7a76e33b12dc7c93e1ced6175ac59e538c10705a543fdcf6df611

Observation b4c81343-beb3-48fd-801e-fccabfeb5b30 · outbound

This paper cites Penrose and W.

The Smarr formula within the Geroch-Held-Penrose formalism Penrose and W

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T17:04:37.245988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:04:37.245988Z digest=sha256:55069c5d194f3df3079062ae303281fbb09329112fd81768afba94781c9e94e3

Observation 095a21ef-e945-4917-944c-cce28030a852 · outbound

This paper cites Quiros, Selected topics in scalar–tensor theories and beyond , International Journal of Modern Physics D 28 (2019) 1930012.

The Smarr formula within the Geroch-Held-Penrose formalism Quiros, Selected topics in scalar–tensor theories and beyond , International Journal of Modern Physics D 28 (2019) 1930012

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.906672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.306403Z digest=sha256:ec6edeaad44af8488f626942e55829f45359803a27725a4d6c4cf231bb10a549

Observation 2e197164-c7fc-4e29-a283-b864c02fa995 · outbound

This paper cites Banerjee and B.R.

The Smarr formula within the Geroch-Held-Penrose formalism Banerjee and B.R

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.242145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.614743Z digest=sha256:4b273079072cfee03f27625bf5d14ce600fef37ad920b3976fbee29c94c71322

Observation cab26ad3-99f6-4800-9fa7-6cbb753cb0ea · outbound

This paper cites Bargue˜ no and E.

The Smarr formula within the Geroch-Held-Penrose formalism Bargue˜ no and E

Reference 41

Resolution
verified exact
doi, observed 2026-08-11T17:04:38.180240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.414762Z digest=sha256:ba19585d86d1adad022630f3570c5229f3f391ca442e520df5b547452be34962

Observation d25dc401-c600-449b-a27a-419124db566c · outbound

This paper cites Geroch, A.

The Smarr formula within the Geroch-Held-Penrose formalism Geroch, A

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.654735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.504749Z digest=sha256:b293d0e1786cb4318696c4020c96b61d41cb8047e460839d235defdde372cbe3

Observation d952c741-9c80-49b4-a144-812a982a42e9 · outbound

This paper cites Medved, D.

The Smarr formula within the Geroch-Held-Penrose formalism Medved, D

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.484744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.526816Z digest=sha256:591a64a632c6d548e9f337dfff9bde6d8237727dbe3566d030b4f048a50716cb

Observation aa7d705a-2008-4a72-b42c-82cc9c153d68 · outbound

This paper cites Hayward, Quasilocal gravitational energy , Physical Review D 49 (1994) 831–839.

The Smarr formula within the Geroch-Held-Penrose formalism Hayward, Quasilocal gravitational energy , Physical Review D 49 (1994) 831–839

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.304748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.563827Z digest=sha256:33571d0b21706f16f1c22b4353bef798031a18dc54958c4e4a60de6684894711

Observation 253ec98f-ea48-4a10-b24f-c1567f367a1a · outbound

This paper cites Taub, Empty space-times admitting a three parameter group of moti ons, The Annals of Mathematics 53 (1951) 472.

The Smarr formula within the Geroch-Held-Penrose formalism Taub, Empty space-times admitting a three parameter group of moti ons, The Annals of Mathematics 53 (1951) 472

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:38.777733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.794803Z digest=sha256:30bb716786c2f6aac5d7506b9feccf11b8933a2272dbed90ff75e110b7505201

Observation 91d5d879-465e-4ea7-a139-6d10e5544ff5 · outbound

This paper cites Villalba, P.

The Smarr formula within the Geroch-Held-Penrose formalism Villalba, P

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.194746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.664750Z digest=sha256:7f2635df636d1db6ca70f7bd3f8300e68b34e6934e3ab62a9147db2347dea954

Observation 40fe4d85-afac-4633-b262-18095f90b58c · outbound

This paper cites Faraoni and S.

The Smarr formula within the Geroch-Held-Penrose formalism Faraoni and S

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T17:04:37.714742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:04:37.714742Z digest=sha256:e00b9d2b9cefcfec42a095a395302de7bb486bf3d96420d868d4536f109734e9

Observation b9108847-f8de-4db2-b99c-6586770337a6 · outbound

This paper cites Sharif and M.

The Smarr formula within the Geroch-Held-Penrose formalism Sharif and M

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:39.084751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.776765Z digest=sha256:95cf2a1096dbec7b12ceb7d818951f01c93b09fe40af55be0ac883220bfe2c35

Observation f6a4bd3d-6904-471f-a693-4fb224bc51b3 · outbound

This paper cites Hawking and G.F.R.

The Smarr formula within the Geroch-Held-Penrose formalism Hawking and G.F.R

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:38.924743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.785522Z digest=sha256:a99a1151810e9f8f8de4bc3dc7321aab88e5d0dd5cfac106d5c1cf47292d7fd9

Observation b2b16407-cfc7-4219-bc05-1c728c97eda3 · outbound

This paper cites Durkee, V.

The Smarr formula within the Geroch-Held-Penrose formalism Durkee, V

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:38.528718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.944748Z digest=sha256:225edac4fe46d32a447f2b272a68f449262d40417c3ad56b9a9d8610bc7eaca5

Observation 5770946d-6591-49c8-b6b7-d51d8ae983fd · outbound

This paper cites Newman, L.

The Smarr formula within the Geroch-Held-Penrose formalism Newman, L

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:38.657944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.803241Z digest=sha256:b2ff7969b24870313dd8e83a9fd75de842569c131e24bf0905b37c79c4f88666

Observation 0fa712f5-a4bc-4289-8936-c37b44f24a4c · outbound

This paper cites Liu and H.-S.

The Smarr formula within the Geroch-Held-Penrose formalism Liu and H.-S

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:38.600406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.812445Z digest=sha256:1ce4d8121ecad63812fb752823559973d0e921df89b4f1971924f6f6a9763a58

Observation 8907bbd6-25d6-4222-8509-1630974a22a8 · outbound

This paper cites Taub-NUT solutions in conformal electrodynamics.

The Smarr formula within the Geroch-Held-Penrose formalism Taub-NUT solutions in conformal electrodynamics

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-11T17:04:37.844743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:04:37.844743Z digest=sha256:b2d473f94ee1a5cadd6ef135cbfedcb22897f8f2ed77846e567bf70369f20c8b

Observation d486a46f-b45a-40b9-b223-03323400c132 · outbound

This paper cites Hennigar, D.

The Smarr formula within the Geroch-Held-Penrose formalism Hennigar, D

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:38.556824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:37.894742Z digest=sha256:c06d0f30e336a7b9a79de675ae500e4e3bd4ed4ac737f0c85a7226d8d74cf28b

Observation d729b6a0-e68c-40f8-b1dc-5eab05207ced · outbound

This paper cites That is, we just showed that Eq.

The Smarr formula within the Geroch-Held-Penrose formalism That is, we just showed that Eq

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T17:04:44.334745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-11T17:04:36.154740Z digest=sha256:1cdb1489505c4ce198d927c6ec8171dfdc1425afd57af88d8e26c560ae805cfb

Pith citing papers

Observation 38f9ecf1-c3d3-4b52-ab59-521060db820f · inbound

Penrose-Rindler equation and horizon thermodynamics of stationary black holes cites this paper.

Penrose-Rindler equation and horizon thermodynamics of stationary black holes The Smarr formula within the Geroch-Held-Penrose formalism

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-02T22:47:17.437937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:47:17.437937Z digest=sha256:fccca5c6f7ea58af7b1889e2bf4a7ed7c0356f1ff6c687dce15988662a02ed40