Paper Citation Record · LEDGER

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification

As of 11 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2507.01840.

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

pith.paper-citation-record.v1
2507.01840 v1

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T20:56:02.200586Z

measured 46 of 46 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T01:44:40.263352Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T18:45:58.716409Z

Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation d9190fb6-2aad-4ecd-81ed-69d1ff8fb802 · outbound

This paper cites (128) This subclass is an extension of the LRS class I of General Relativity and can be reduced to LRS I if one imposes τ = 0.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification (128) This subclass is an extension of the LRS class I of General Relativity and can be reduced to LRS I if one imposes τ = 0

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.857867Z

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Observation 1d1095c9-d56b-43d1-b9a5-4b18550f967b · outbound

This paper cites (129) The spacetime of this subclass cannot be reduced to General Relativity.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification (129) The spacetime of this subclass cannot be reduced to General Relativity

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.846720Z

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Observation c508ee69-ee47-4dfe-b25d-0ffdf57203a0 · outbound

This paper cites (163) Given µ, the rest of the variables, but τ, can be algebraically determined.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification (163) Given µ, the rest of the variables, but τ, can be algebraically determined

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.835667Z

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Observation 7b8bf355-0c68-4dce-a7ab-b0c30e165543 · outbound

This paper cites (161) implies µ + p = 2τ Ω.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification (161) implies µ + p = 2τ Ω

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.825160Z

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This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 5

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Observation f90c8bd2-90a2-430e-af98-4e8b66b0242c · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.806540Z

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Observation f2dc94e3-d961-4f18-87eb-d8e22cdd9ecb · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.795473Z

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Observation eea084b4-4bef-411c-9ed1-e4184952ea5f · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.785673Z

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Observation c26af50b-9d95-4968-bb97-a23148da8c3f · outbound

This paper cites Weyssenhoff and A.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Weyssenhoff and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.775591Z

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Observation 2c3da583-5e69-4d48-bca3-d14da1ff8675 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.765611Z

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Observation d6e330e7-f6be-40a4-b702-821865d46912 · outbound

This paper cites Halbwachs, Nuclear Physics18, 716 (1960).

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Halbwachs, Nuclear Physics18, 716 (1960)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.755329Z

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Observation efd5bc56-326d-4d93-960b-907b92457254 · outbound

This paper cites Mathisson, Acta Phys.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Mathisson, Acta Phys

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T20:55:59.246716Z

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Observation d7a538bd-1fb2-4e0f-8d66-33ff5e6bea4e · outbound

This paper cites Frenkel, Zeitschrift fur Physik37, 243 (1926).

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Frenkel, Zeitschrift fur Physik37, 243 (1926)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.739869Z

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Observation 3a8ff4b6-5184-4386-9767-4c357e4d7f9b · outbound

This paper cites Papapetrou and R.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Papapetrou and R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.730843Z

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Observation 48706a4b-5689-4669-85bb-9c951750f360 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.720843Z

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Observation 0d8e3729-f71a-4857-bad1-8db0d54d8fb6 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 16

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Observation d5305686-5dab-46c7-9b9b-e0cedb06ca18 · outbound

This paper cites f(T) teleparallel gravity and cosmology.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification f(T) teleparallel gravity and cosmology

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T20:55:59.774895Z

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Observation fed17baf-f45a-4800-b32e-632c7e0b7be2 · outbound

This paper cites Kopczyński, Physics Letters A43, 63 (1973).

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Kopczyński, Physics Letters A43, 63 (1973)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.710706Z

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Observation f789da37-77b6-47f1-8857-71f0d7d8c852 · outbound

This paper cites Trautman, Nature Phys.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Trautman, Nature Phys

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.700813Z

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Observation 78bf7202-0412-47fe-8e6f-d3472b9bd005 · outbound

This paper cites Stewart and.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Stewart and

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.690398Z

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Observation 0a731ec0-bbe5-40ca-9fe9-eedd5207b830 · outbound

This paper cites Capozziello, G.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Capozziello, G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.679641Z

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Observation bcc257b9-ae7a-459d-a772-91934b78c0ce · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.668324Z

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Observation ff64fbec-d999-4220-b4eb-0686a09df8e6 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.657195Z

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Observation aefda203-087d-4fa3-b918-aee284ea14c2 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.646293Z

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Observation 6df5187a-ad03-4a7b-a30c-83b74a915fb9 · outbound

This paper cites Cosmological models (Carg\`{e}se lectures 1998).

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Cosmological models (Carg\`{e}se lectures 1998)

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T20:56:00.678226Z

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Observation baf2491e-86f9-42ad-9dc8-4ad356cddbc9 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.634780Z

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Observation fa17e776-2f3c-43bd-8d32-4151cbddac63 · outbound

This paper cites Betschart and C.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Betschart and C

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.623052Z

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Observation 01f9ac52-2bb9-4607-9ba0-48fe4f68a42d · outbound

This paper cites Clarkson, Physical Review D 76 (2007), 10.1103/physrevd.76.104034.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Clarkson, Physical Review D 76 (2007), 10.1103/physrevd.76.104034

Reference 28

Resolution: verified exact; doi, observed 2026-08-06T20:56:03.054020Z

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Observation da2b729a-689f-46fc-9a0d-cb2b9de0121f · outbound

This paper cites Carloni and D.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Carloni and D

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.612182Z

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Observation ac6f9baf-8992-4ae0-bf7f-6569dbf4fef6 · outbound

This paper cites The covariant Tolman-Oppenheimer-Volkoff equations II: The anisotropic case.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification The covariant Tolman-Oppenheimer-Volkoff equations II: The anisotropic case

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T20:56:01.119884Z

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Observation 700947a6-eaf4-4a8d-b406-71a0352256c2 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T20:56:01.225326Z

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Observation 292abba5-7d5e-4592-afd7-e47da85629bb · outbound

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Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.596168Z

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Observation 9a9440d8-7560-4500-9b78-5dec958a5fa4 · outbound

This paper cites Luz and S.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Luz and S

Reference 33

Resolution: verified exact; doi, observed 2026-08-06T20:56:02.825256Z

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Observation f81a3e57-a10c-4a9d-9b2c-3d48a8938c3e · outbound

This paper cites A primer on energy conditions,.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification A primer on energy conditions,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.585486Z

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Observation c9d62087-dee8-43e1-ae23-797c4d63114e · outbound

This paper cites Kobayashi and K.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Kobayashi and K

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.574298Z

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Observation 251ce770-44d2-4ba7-bf83-0fa8c2d096c5 · outbound

This paper cites Singularity theorems and the inclusion of torsion in affine theories of gravity.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Singularity theorems and the inclusion of torsion in affine theories of gravity

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T20:56:01.444631Z

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Observation 8e0d26a0-eafa-4b14-85e4-f656cf77cd00 · outbound

This paper cites van de Venn, U.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification van de Venn, U

Reference 37

Resolution: verified exact; doi, observed 2026-08-06T20:56:02.619626Z

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Observation 6187109a-12a9-4178-b541-ed67d6a99292 · outbound

This paper cites Phantom cosmologies.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Phantom cosmologies

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T20:56:01.600996Z

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Observation f856f249-cc48-45bc-88e9-ce9f3c697604 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:56:03.564326Z

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Observation 7bd29431-6795-4732-a505-d11f6f8d6733 · outbound

This paper cites On anisotropic two-fluid stellar objects in General Relativity.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification On anisotropic two-fluid stellar objects in General Relativity

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:56:03.336788Z

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Observation ec8d6163-1695-481a-81f1-785d513f0304 · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T20:56:01.913632Z

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Observation e8e22139-fe75-48bd-80e7-2bc430b6916f · outbound

This paper cites an unresolved cited work.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Unresolved cited work

Reference 42

Resolution: verified exact; doi, observed 2026-08-06T20:56:02.417203Z

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Observation 9318a78c-bde5-4983-9280-c2c7a9dba941 · outbound

This paper cites Luz and S.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Luz and S

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.548249Z

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Observation eab21434-323d-48d0-b589-f52460639e9a · outbound

This paper cites Luz and S.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Luz and S

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.537073Z

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Observation 1e7e5d11-5609-47b5-8f6b-0a20e289bb2e · outbound

This paper cites Luz and S.

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification Luz and S

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:56:03.527185Z

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Pith citing papers

Observation ebdaf427-35ff-4315-9803-39ba27802354 · inbound

Tidal Forces in the Presence of Torsion and Nonmetricity cites this paper.

Tidal Forces in the Presence of Torsion and Nonmetricity Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-01T18:45:58.718051Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.