Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-10T13:18:36.354626Z
Paper Citation Record · LEDGER
As of 20 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 1 inbound Pith citation observation for arXiv:2607.08088.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-10T13:18:36.354626Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-31T17:32:20.515690Z
A source-named dated measurement, never combined with another source.
Source: cited_works
69 of 69 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 74abb4a2-3259-4be2-b2ab-e018049a5718 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole The exterior region [r > R(t)] remains Schwarzschild vacuum
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 42084afb-95f9-4ff1-bf84-bb774a6e1702 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a7d3d4c4-e986-44b3-ae33-087f9c244a8a · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole [35], the system evolves toward a Schwarzschild BH with massM=h/2 ast→t d, wheret d =∞in Ref
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f31775f3-0dbc-4eff-b544-4beacf2704e0 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 685d637d-a997-4c33-9dda-ca0f7b40ab9d · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Only the Schwarzschild BH remains att≥t d
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2ea2a7a1-392f-481f-96c7-10cd48ec6b95 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole c9ZiMvMg0DUbBAGjp/NKq249i4s=
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8e161e60-d769-4e8d-b1ff-c5e7173881f1 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Form(r, t), we take the simplest functionf(x) =f 0(x) in Eq
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9e5a0db8-07ce-4806-a42a-9cbf1590fbb1 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fe7fde83-9cc9-478d-a009-7aacfa7bae80 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Since the EMT vanishes atX(r, t)>1, the EMT should also vanish atX(r, t) = 1
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b433010b-7319-4cb2-80a4-fe64ecb8a8f5 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 441cc698-b307-468c-8a47-5e901e689084 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 78b0cac2-350d-4bb2-a99b-4bbf58c8305d · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole 9KjgRmm+HN3wAXOHAP9YIhnOIuk=
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9d7765a2-ea94-421b-8b36-620d9490765d · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole 2 showsm(r, t) atβ= 2 as a function ofr for several values oftduring a whole process of the collapse att a ≤t≤t d
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e0166fc8-b5b2-423c-9360-86f819a3a967 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation aae398ed-be2a-4760-9291-fc9ce3106bc6 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Furthermore, the above condition is satisfied asr→0
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5143beca-10e4-47c0-b447-0396f13c1101 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole At the negativet(t a ≤t <0), however, we have lim X→0 −κr4C hX(1−X) =−β(β+ 1) =−6,(A17) so that the SEC is violated in this limit
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0d9e41a7-9044-4331-a3fe-f7c9a4fc1d12 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 365fa6d4-570e-4932-bfc9-cd22bacc4c7b · outbound
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 839c370b-3bad-4ba5-a262-a58c7dd166b6 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Christodoulou, Commun
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e99afb7b-1eff-4820-883f-ce82da6f39cf · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Naked Singularities in Spherically Symmetric Inhomogeneous Tolman-Bondi Dust Cloud Collapse
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 50308320-fb44-4cec-bc9d-3550c77c2a84 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Shibata, Prog
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation edb86bb9-c6cb-44e1-bdc4-6301be79e067 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Why do naked singularities form in gravitational collapse?
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 59a4a873-acac-45dc-a3e9-00ce046eeac1 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Gravitational collapse of barotropic spherical fluids
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation cbc276c6-e16f-4aea-b14d-7928c892e7d3 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Black hole formation in perfect fluid collapse
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation bc99435a-7000-4fdd-9c8c-574a59fc3c31 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Generalized Lemaitre-Tolman-Bondi Solutions with Pressure
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c852fc94-a5fb-4929-8643-22c381932188 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Strong curvature naked singularities in spherically symmetric perfect fluid collapse
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 59121be8-f25e-4013-92c8-788603cdbcb7 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Towards consistent black-to-white hole bounces from matter collapse
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b22979c2-2f5a-4da6-8815-f988c2f84b6b · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Recent developments in gravitational collapse and spacetime singularities
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1d351893-bc38-4b04-974a-4b8fb908a43f · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Quantum gravitational collapse: non-singularity and non-locality
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7b54bb01-a906-4c0d-8e27-9c9b8317c1ca · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Schrodinger formalism, black hole horizons and singularity behavior
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2ab41d10-2668-4666-bff6-e31d4cc7fd70 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Singularity avoidance for collapsing quantum dust in the Lemaitre-Tolman-Bondi model
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 348cf08e-3c71-4724-89b3-47a9db5db121 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Black hole singularity resolution via the modified Raychaudhuri equation in loop quantum gravity
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ab6e102f-2cb7-44ba-a763-a7c01dcdd7f9 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Quantum Oppenheimer-Snyder model
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8a8f922e-b891-4f28-8624-c331bb4544f5 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Black hole collapse and bounce in effective loop quantum gravity
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 99a9914f-5d86-47ca-a4e9-aed6346b799c · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Quantum gravity of dust collapse: shock waves from black holes
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 81c34b81-edbf-4f5b-b8f1-ac1f7951ad34 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole On the fate of quantum black holes
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8357bb11-40a4-4277-b0fd-5dcbbf00bf49 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Configurational entropy of black hole quantum cores
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2fa5c710-bd35-4ede-b648-f6c955570760 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Gravitational collapse in effective loop quantum gravity: beyond marginally bound configurations
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation de9d246c-d768-4b8c-9a35-483703007434 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole On gravitational collapse and integrable singularities
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2aca7f79-b1e7-4eed-8059-fb6cc233aa0b · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Penrose, Phys
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 328ce03e-a175-4aa6-9483-5028a6a70f25 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4777475e-b04f-454e-9326-be6e8453e0f9 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5db5a79d-6000-437b-a9af-ed86922be574 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Poisson and W
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 527a8818-1d65-4b58-bd67-6ab536e1c658 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Poisson and W
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 5c639665-fa33-4263-b1d7-fba6cfd51d12 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Penrose, Riv
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 174cf12f-fb2a-445e-9f4e-005cf636f182 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Penrose, inGeneral Relativity: An Einstein Cente- nary Survey, edited by S
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7f9f31ba-f92a-47c8-aabf-1ae74d0e7834 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 694eab22-4310-427f-b6b1-c18e77a222d4 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Ovalle, Phys
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e1eb82ca-5f83-4b1d-b534-5959384b57e1 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Interior Dynamics of Regular Schwarzschild Black Holes
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4d131080-25ff-4799-99b7-4c08c411eaad · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole OnSchwarzschildblackholesingularityformation
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 09eda059-56aa-44ea-981a-e8afeba46948 · outbound
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2f69203d-dd45-424f-8401-01b14572338a · outbound
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 304e7bd6-59ef-495d-8b56-792559e70064 · outbound
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 36964c16-605a-486f-8972-2205c29e3d82 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Space-Times with Integrable Singularity
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b572b970-06e9-4be1-a222-d355bff8c7b3 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Ovalle, Phys
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b48c5fb7-c369-42e8-bbab-b6fe9b0428cb · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Arrechea, S
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 8163e120-a8d9-4834-818c-0dd9c17dae67 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Schwarzschild, Sitzungsber
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 86361e1b-56e1-407a-a615-cf441bebf2f7 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Charge Conservation, Entropy Current, and Gravitation
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c3dc2612-881c-4309-b2d0-5c6b79a668d7 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Conserved non-Noether charge in general relativity: Physical definition vs. Noether's 2nd theorem
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6133257c-d8d5-4cd8-88b0-1cec90a95a93 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Conserved charges in general relativity
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d2657aae-5ef6-4e3a-a142-fe11bb3085e7 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Generic Naked Singularities in Vaidya Spacetimes
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a3488fe5-b462-4960-afbd-cd5714153a28 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Trapped surfaces in Oppenheimer-Snyder black holes
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d8ed060d-e29c-468f-89b5-0e43da247c95 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Plebanski, Acta Phys
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b468632d-83ae-4722-8c61-4f2584d6d1f5 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Unresolved cited work
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 45cb1b09-e12b-4e94-81f4-b6918c4ec1a1 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Classical and semi-classical energy conditions
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation fb419e7f-0cd7-4b54-95ca-09e737902f14 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Energy conditions in arbitrary dimensions
Reference 66
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1f2d44e5-a86c-4779-a30f-9780381b92f9 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Criteria for energy conditions
Reference 67
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9176d720-abf7-4655-97f7-e79c82365717 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Energy conditions in static, spherically symmetric spacetimes and effective geometries
Reference 68
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e5b93f47-09ea-4aa7-88d0-de91d745b922 · outbound
An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole Families of regular spacetimes and energy conditions
Reference 69
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c039c800-f649-4eea-bd27-04e3dd1f3656 · inbound
Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.