Paper Citation Record · LEDGER

General relativistic heat flow from first order hydrodynamics

As of 15 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.02364.

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pith.paper-citation-record.v1
2412.02364 v2

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measured 43 of 43 reference resolution

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measured 43 of 43 standing notices

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43 of 43 outbound references displayed

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Outbound references

Observation e1b2ac32-92d0-40ec-be4e-882d1a01e1b4 · outbound

This paper cites Schwarzschild Geometry: – In this section, we take the Schwarzschild geometry as an example of the static spherically symmetric case.

General relativistic heat flow from first order hydrodynamics Schwarzschild Geometry: – In this section, we take the Schwarzschild geometry as an example of the static spherically symmetric case

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:52:04.753503Z

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Observation 8de09375-1117-4c93-97cb-0d14dbf718c8 · outbound

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:52:04.736571Z

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Observation 54f9e70b-aa17-4efe-9fe9-70daa54516c1 · outbound

This paper cites (9) and Eq.

General relativistic heat flow from first order hydrodynamics (9) and Eq

Reference 3

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Observation ed9a3be9-e5e3-4051-8dd9-e2f2d52f40fd · outbound

This paper cites (10) for the stationary background (37), simpliﬁes to Eq.

General relativistic heat flow from first order hydrodynamics (10) for the stationary background (37), simpliﬁes to Eq

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T23:52:04.705575Z

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Observation 3930f688-552c-419f-84e6-8fe326b95aad · outbound

This paper cites (30) for the Schwarzschild case with g00 = −1/g rr = − ( 1 − 2m r ) and assuming α to be constant, we have µ T = A + q0 α ∫ 1 r2( 1 − 2m r ) 3/ 2 dr.

General relativistic heat flow from first order hydrodynamics (30) for the Schwarzschild case with g00 = −1/g rr = − ( 1 − 2m r ) and assuming α to be constant, we have µ T = A + q0 α ∫ 1 r2( 1 − 2m r ) 3/ 2 dr

Reference 5

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Observation 805234c0-9c60-4353-b4d3-51f889fbaa1e · outbound

This paper cites (30) assuming α to be constant reduces to, µ T = A + q0 α ∫ 1 r2( 1 − 2m r − Λ r2 3 ) 3/ 2 dr , (C3) which doesn’t have a simpliﬁed or compact form.

General relativistic heat flow from first order hydrodynamics (30) assuming α to be constant reduces to, µ T = A + q0 α ∫ 1 r2( 1 − 2m r − Λ r2 3 ) 3/ 2 dr , (C3) which doesn’t have a simpliﬁed or compact form

Reference 6

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Observation 78e28305-683a-4c58-9bef-96fd36aae89a · outbound

This paper cites Tolman and P.

General relativistic heat flow from first order hydrodynamics Tolman and P

Reference 7

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Observation e31fc26f-9b28-4dd3-bd7e-e3eb3fd10c43 · outbound

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 8

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Observation 3b112cab-a004-445b-b253-9f8a3446d9e4 · outbound

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-11T23:52:04.171692Z

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Observation 33435dc0-db0c-4f91-a6d4-0ff7de6918e0 · outbound

This paper cites Tolman-like temperature gradients in stationary spacetimes.

General relativistic heat flow from first order hydrodynamics Tolman-like temperature gradients in stationary spacetimes

Reference 10

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Observation 19f9c0bc-3d71-4deb-95ca-1b91eee1c564 · outbound

This paper cites Klein, Rev.

General relativistic heat flow from first order hydrodynamics Klein, Rev

Reference 11

Resolution: verified exact; doi, observed 2026-08-11T23:52:04.155270Z

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Observation b95d25f9-4e33-4adb-8141-4615593ec285 · outbound

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 12

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Observation deda3f9c-f4e6-4fec-8d93-71ab05557d57 · outbound

This paper cites Katz and Y.

General relativistic heat flow from first order hydrodynamics Katz and Y

Reference 13

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Observation 6c0ef0fd-52c2-4143-bb5e-da897344c5c9 · outbound

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 14

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Observation 7d696a0d-2923-4af0-b770-5eed71b55030 · outbound

This paper cites A general maximum entropy principle for self-gravitating perfect fluid.

General relativistic heat flow from first order hydrodynamics A general maximum entropy principle for self-gravitating perfect fluid

Reference 15

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Observation f212f618-ca9a-40f0-8471-d53c326e3b2d · outbound

This paper cites Gao, Phys.

General relativistic heat flow from first order hydrodynamics Gao, Phys

Reference 16

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Observation cf83d377-cae5-41bb-b924-0b181f144e24 · outbound

This paper cites Dynamic and Thermodynamic Stability of Relativistic, Perfect Fluid Stars.

General relativistic heat flow from first order hydrodynamics Dynamic and Thermodynamic Stability of Relativistic, Perfect Fluid Stars

Reference 17

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Observation 73f4aa50-0b51-47e3-952f-f44f2a86daba · outbound

This paper cites Thermodynamic equilibrium condition and the first law of thermodynamics for charged perfect fluids in electromagnetic and gravitational fields.

General relativistic heat flow from first order hydrodynamics Thermodynamic equilibrium condition and the first law of thermodynamics for charged perfect fluids in electromagnetic and gravitational fields

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.492250Z

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Observation 5dab55df-bdff-4466-91c9-94a307af0115 · outbound

This paper cites Dynamic and Thermodynamic Stability of Charged Perfect Fluid Stars.

General relativistic heat flow from first order hydrodynamics Dynamic and Thermodynamic Stability of Charged Perfect Fluid Stars

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.470009Z

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Observation c0e8ab84-8d12-4b5e-a03b-e8b94cc4c17d · outbound

This paper cites Corrigendum to "Thermodynamical instabilities of perfect fluid spheres in General Relativity".

General relativistic heat flow from first order hydrodynamics Corrigendum to "Thermodynamical instabilities of perfect fluid spheres in General Relativity"

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.449318Z

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Observation e5d90f75-e1f5-4204-914b-40ecdf7733ee · outbound

This paper cites Relativistic Gravothermal Instabilities.

General relativistic heat flow from first order hydrodynamics Relativistic Gravothermal Instabilities

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.428056Z

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Observation e7492bc5-2244-41ba-ab4c-22aab0987700 · outbound

This paper cites Gravitational instability caused by the weight of heat.

General relativistic heat flow from first order hydrodynamics Gravitational instability caused by the weight of heat

Reference 22

Resolution: metadata mismatch; local_arxiv, observed 2026-08-11T23:52:04.407534Z

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Observation cb78708c-6650-4ec7-9133-0647de35053d · outbound

This paper cites Thermal Mass limit of Neutron Cores.

General relativistic heat flow from first order hydrodynamics Thermal Mass limit of Neutron Cores

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.384241Z

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Observation 02216e91-17c6-4568-8cf1-2d7f7e95e7f8 · outbound

This paper cites Thermal time and the Tolman-Ehrenfest effect: temperature as the "speed of time".

General relativistic heat flow from first order hydrodynamics Thermal time and the Tolman-Ehrenfest effect: temperature as the "speed of time"

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:03.940784Z

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Observation 16fcf944-6214-42e8-bd60-3a813523e005 · outbound

This paper cites A Quantal Tolman Temperature.

General relativistic heat flow from first order hydrodynamics A Quantal Tolman Temperature

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.347129Z

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Observation 3f97d381-e114-423f-bca3-fe0a97b9c7ab · outbound

This paper cites Thermodynamic Equilibrium in General Relativity.

General relativistic heat flow from first order hydrodynamics Thermodynamic Equilibrium in General Relativity

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:03.951828Z

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Observation cec480fd-787f-4e6f-b24f-7c90c713e53c · outbound

This paper cites Tolman-Ehrenfest-Klein Law in non-Riemannian geometries.

General relativistic heat flow from first order hydrodynamics Tolman-Ehrenfest-Klein Law in non-Riemannian geometries

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.310085Z

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Observation 9e01753a-74a1-471a-a1f0-4da8c0c9be7e · outbound

This paper cites Laws of thermodynamic equilibrium within first order relativistic hydrodynamics.

General relativistic heat flow from first order hydrodynamics Laws of thermodynamic equilibrium within first order relativistic hydrodynamics

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.288642Z

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Observation c48fd23f-db66-486a-b6dd-ea97db3c81e1 · outbound

This paper cites General Proof of the Tolman law.

General relativistic heat flow from first order hydrodynamics General Proof of the Tolman law

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.267458Z

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Observation 655d833b-15f0-4c8b-af63-3e4d0a2ce7e3 · outbound

This paper cites Miranda, M.

General relativistic heat flow from first order hydrodynamics Miranda, M

Reference 30

Resolution: verified exact; doi, observed 2026-08-11T23:52:04.109915Z

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Observation a34d6cd5-38a0-412d-a51e-b442035ba5fe · outbound

This paper cites Linear response in a charged gas in curved spacetime and covariant heat equation.

General relativistic heat flow from first order hydrodynamics Linear response in a charged gas in curved spacetime and covariant heat equation

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.245866Z

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Observation 49fcc313-4ebf-41b6-8403-85fad142d16f · outbound

This paper cites Landau and E.

General relativistic heat flow from first order hydrodynamics Landau and E

Reference 32

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Observation ea782a8c-7641-4c1f-914c-afa5ab654739 · outbound

This paper cites Eckart, Phys.

General relativistic heat flow from first order hydrodynamics Eckart, Phys

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:03.984459Z

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Observation 2bbd3c51-0c57-457d-b865-7869c363722e · outbound

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General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T23:52:04.584885Z

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Observation 61f8ae1a-d3c2-4897-b343-b329d3a8a486 · outbound

This paper cites Israel, Annals Phys.

General relativistic heat flow from first order hydrodynamics Israel, Annals Phys

Reference 35

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Observation 448bf48b-a68c-45e2-a35c-4ca06ea23d28 · outbound

This paper cites Israel and J.

General relativistic heat flow from first order hydrodynamics Israel and J

Reference 36

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Observation d5eb04f2-e434-4527-95df-144c67e64c1a · outbound

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General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 37

Resolution: verified exact; doi, observed 2026-08-11T23:52:04.094738Z

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Observation 5ef3f92b-532d-4db1-b30f-cb86456b7cd4 · outbound

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General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 38

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Observation e07c9138-237c-4064-b787-929c3bb63de8 · outbound

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:04.013173Z

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Observation d3861736-25f1-45f3-afdf-981b8e525d75 · outbound

This paper cites First-order relativistic hydrodynamics is stable.

General relativistic heat flow from first order hydrodynamics First-order relativistic hydrodynamics is stable

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:04.017869Z

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Observation df8aad12-10fb-413b-8e3f-c9d321c79712 · outbound

This paper cites Stable and causal relativistic Navier-Stokes equations.

General relativistic heat flow from first order hydrodynamics Stable and causal relativistic Navier-Stokes equations

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:04.022737Z

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Observation 2026b9de-3aff-4922-9829-dfa608d2deaf · outbound

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General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T23:52:04.027739Z

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Observation ea1215a6-2975-40b8-a065-33eebf8eed81 · outbound

This paper cites Tolman-Ehrenfest's criterion of thermal equilibrium extended to conformally static spacetimes.

General relativistic heat flow from first order hydrodynamics Tolman-Ehrenfest's criterion of thermal equilibrium extended to conformally static spacetimes

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-11T23:52:04.194477Z

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