Paper Citation Record · LEDGER

The Smarr formula within the Geroch-Held-Penrose formalism

As of 11 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 2026-08-11T06:34:44.6726+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

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

verified exact2
verified fuzzy47
unresolved6
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External citation measurements

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:44.144744Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.994818Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.836401Z

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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

Resolution: unresolved; raw_fallback, observed 2026-08-11T17:04:44.524739Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.484741Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified exact; raw_fallback, observed 2026-08-11T17:04:38.491528Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.338713Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.164742Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.654912Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:42.874744Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:42.755123Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:42.594738Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-08-11T17:04:36.685390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:43.012373Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:42.264767Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:42.082527Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:41.944749Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:41.794744Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:42.425093Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:41.484741Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:41.324738Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:44.994745Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:40.954745Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:41.644748Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:40.594752Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-11T17:04:37.011187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:41.134746Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:44.824758Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:40.774745Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:40.031814Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:44.664743Z

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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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:40.404743Z

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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: verified fuzzy; raw_fallback, observed 2026-08-11T17:04:40.254746Z

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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

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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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

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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

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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.

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

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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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

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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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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 2026-08-11T06:34:44.6726+00:00.

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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.

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 2026-08-11T06:34:44.6726+00:00.

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 2026-08-11T06:34:44.6726+00:00.

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 2026-08-11T06:34:44.6726+00:00.

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 2026-08-11T06:34:44.6726+00:00.

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 2026-08-11T06:34:44.6726+00:00.

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.

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 2026-08-11T06:34:44.6726+00:00.

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 2026-08-11T06:34:44.6726+00:00.

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.