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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 1 inbound Pith citation observation for arXiv:2412.02364.

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

pith.paper-citation-record.v1
2412.02364 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:52:04.032397Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:27:37.225181Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T20:27:37.608972Z

Reference resolution

43 of 43 outbound references displayed

  • verified exact17
  • verified fuzzy6
  • unresolved19
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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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

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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

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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

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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

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General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 8

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

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General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 9

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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

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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

This paper cites an unresolved cited work.

General relativistic heat flow from first order hydrodynamics Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T23:52:04.008336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:52:04.013173Z digest=sha256:94a22e2938c379ce674ee8af8129a11f7a72a770baeb98d34a8f0cc72f881155

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:52:04.022737Z digest=sha256:e7be8ad76fa7dd81c3c1842120ed70ffdbc22df31ff514ad41f67288977baf88

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

This paper cites an unresolved cited work.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:52:04.027739Z digest=sha256:a059bfce3e2d62df38c9250ee43c0e4bc59d7f25b1ae975c8b0a81388af3bb1f

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Pith citing papers

Observation e48bd5e1-2995-4dd8-b2ce-51b0765bb9d3 · inbound

Thermodynamic parameters of fluids on conformally connected spacetimes cites this paper.

Thermodynamic parameters of fluids on conformally connected spacetimes General relativistic heat flow from first order hydrodynamics

Reference 23

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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