Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T11:37:57.145630Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 70 of 70 outbound references and 0 inbound Pith citation observations for arXiv:2412.15480.
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 2026-08-11T11:37:57.145630Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
70 of 70 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 63c72de6-9727-4e7e-b303-97d249f48665 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes If Φ is separable, then it is possible to obtain particular solutions of Φ in the form of (26)-28
Reference 1
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 bcf5cfc4-0fff-46a1-8da0-6686e9ad371b · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 2
Source-reported events for the cited work
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Observation 3f6e9551-c608-48b6-b210-bbf3be933db5 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 3
Source-reported events for the cited work
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Observation 036038a6-bebb-4358-84b7-8cbdf5eea867 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 4
Source-reported events for the cited work
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Observation 7b694471-2cc3-4ecd-a739-da05d59eea96 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes (18) Next, combining equations (16) and (17) we find the following equation for the function Φ Φ , r r + f, r f Φ , r + 1 f 2 Φ ,θθ = 0
Reference 5
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 487bad89-18f8-45a2-b336-41b85fba90d3 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 6
Source-reported events for the cited work
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Observation 078e8609-5d36-46ce-8734-eb3d62bd2f9a · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 7
Source-reported events for the cited work
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Observation 4b9c8c7b-e501-43d8-b54b-0bdb6b9b02d0 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 8
Source-reported events for the cited work
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Observation 4aa257b0-9d4a-4fdd-a45a-5bf2b9f73ad3 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 9
Source-reported events for the cited work
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Observation ca4e11fa-72a4-4093-aa2e-f50d592deba9 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 10
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 9748f1ee-56fe-4e17-83bb-0c3e14f124d2 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes In the next section, we shall illustrate the method with two particular selections of Ω
Reference 11
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 5963b358-8d8f-4801-81de-b0487905db23 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Akiyama, A
Reference 12
Source-reported events for the cited work
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Observation 175009d9-d749-4241-8af4-56eabbdbdd5c · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Akiyama, A
Reference 13
Source-reported events for the cited work
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Observation c4a7bd12-63a8-44c2-9b6b-fe08d374dc62 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Akiyama, A
Reference 14
Source-reported events for the cited work
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Observation 4292e3be-df32-4787-a649-2be42b56af0d · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Mid-Range Science Objectives for the Event Horizon Telescope
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 659d5ffe-756d-44f4-80c1-32d1bcac226d · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Perlick and O.Y
Reference 16
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 64cd20b4-efba-479e-9ba1-d23c77492495 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Younsi, D
Reference 17
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 6e1c14d3-52b8-4065-afac-51af21cd7907 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 18
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 e8665eee-2752-4125-a329-49b5e5c4558c · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Stephani, D
Reference 19
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 225e01e1-dd38-44cf-9f88-06d8148bfd1a · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 20
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 c906adcc-da37-45fa-91ea-f17a8b5071b5 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes On the gravitational field of a sphere of incompressible fluid according to Einstein's theory
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81c63de1-2707-42c1-8427-05cdea49501c · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 22
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 46685b40-f409-44fe-b922-a67a84ae7c5c · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Denisova, Sh
Reference 23
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 b0c18c39-945f-4d52-80b4-c93a5057fadb · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 24
Source-reported events for the cited work
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Observation ca390cfd-4e7a-4f3b-b654-8c8bb7ca8cc1 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Newman and A.I
Reference 25
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 9661e33c-7b24-4f54-a7a4-c366aca77f85 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 26
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 523559f0-057f-463f-b42c-b096f8b76f91 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Newman, L
Reference 27
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 6ea827d2-8d6d-4058-9c5d-eb0abf1d6aed · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley
Reference 28
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 5534ed98-b0af-48fa-8441-4491cc562e6c · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Plebanski and M
Reference 29
Source-reported events for the cited work
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Observation 506cf3ea-b24e-41ac-b972-bed3b2763dec · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 30
Source-reported events for the cited work
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Observation 600c3b92-14ab-4c08-90c0-851d2bd15322 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 31
Source-reported events for the cited work
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Observation d497345d-a0f7-4147-bf76-8aa28823ca1a · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley
Reference 32
Source-reported events for the cited work
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Observation 1dc13159-3e7a-44c1-9f0c-9956582db284 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley
Reference 33
Source-reported events for the cited work
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Observation a970095a-72ec-4857-a1de-1aa4a4f03599 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Tomimatsu and H
Reference 34
Source-reported events for the cited work
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Observation c89ef437-4237-4778-aa2b-4f0276be9ee1 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Tomimatsu and H
Reference 35
Source-reported events for the cited work
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Observation cab12aa2-cb62-4577-bdc8-8f0c028580f1 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Yamazaki and S
Reference 36
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 1b7f9a02-1823-4135-9a9f-0fdcfb83e252 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Yamazaki
Reference 37
Source-reported events for the cited work
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Observation 5476bfc8-44c4-45c4-b3be-f71d448f7aa3 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Yamazaki
Reference 38
Source-reported events for the cited work
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Observation aebd9ca8-1020-43a2-bfdf-cd9a608a86a4 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Yamazaki and S
Reference 39
Source-reported events for the cited work
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Observation 0cfc0a40-74ef-478d-b65c-67a60a043bd8 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Cosgrove
Reference 40
Source-reported events for the cited work
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Observation e5a72428-5ae6-4c93-b30e-94aff6e5c826 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Cosgrove
Reference 41
Source-reported events for the cited work
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Observation 1265beac-d921-4c9e-9903-bb7cd3c72605 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 42
Source-reported events for the cited work
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Observation d62a05ba-fefa-4b01-abde-895cf329e6e0 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 43
Source-reported events for the cited work
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Observation 0d7afaec-bdf1-48f3-8d32-cc70736eab98 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 44
Source-reported events for the cited work
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Observation f17a96bf-a3ca-450f-a594-1a15f6de5308 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley and D
Reference 45
Source-reported events for the cited work
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Observation 32ff3e40-c819-4605-8cb8-9d0fd76e6389 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley and D.M
Reference 46
Source-reported events for the cited work
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Observation 353de6bc-b471-4c7e-b1a1-3f2059df18b0 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley and D
Reference 47
Source-reported events for the cited work
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Observation 365e9074-26d5-4b5d-b31e-cecac1bcd394 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Kinnersley and D
Reference 48
Source-reported events for the cited work
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Observation 4e4d4b33-52bb-4cde-b0e9-1edede4600ac · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 49
Source-reported events for the cited work
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Observation 36cdf327-639f-4ed1-a3bd-094ea5927658 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Belinskii and V.E
Reference 50
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 251857b3-be10-417e-a834-72ac9321ec2f · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 51
Source-reported events for the cited work
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Observation 8e4f5331-b355-46b9-a00d-c4acfef864f2 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Harrison
Reference 52
Source-reported events for the cited work
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Observation 35fcfad8-c4e3-4f41-b2d5-81cb48b32b04 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Harrison
Reference 53
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 2f86eb46-efdf-4ef2-9398-7e166f321735 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Hoenselaers, W
Reference 54
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 61db2365-480e-44c2-bf32-0aa8e0ab7e79 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Hoenselaers, W
Reference 55
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 24f32237-f58e-467c-99d5-d21c25962e1e · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Neugebauer
Reference 56
Source-reported events for the cited work
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Observation 11c84693-b303-4bc8-986a-f2c0d750b44f · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Neugebauer
Reference 57
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 4e7c4c61-1b7c-494d-b799-19f79273ea35 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 58
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 a5c567d0-840b-407d-90a9-380b672366fd · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 59
Source-reported events for the cited work
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Observation 2fac2418-1c22-4de7-98be-27b30ca86ab8 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Herrera and V
Reference 60
Source-reported events for the cited work
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Observation 11421cda-74f1-411e-bfab-e918b13733aa · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 61
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 bd8121c7-11cc-4d42-875c-42eb62d768e5 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 62
Source-reported events for the cited work
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Observation 260ef6ca-5fb0-4fed-9a6f-1e936caa0372 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Unresolved cited work
Reference 63
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 a80c1499-f524-4d3e-86e4-8c3d53e226b6 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Ospino, J.L
Reference 64
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 501b4d46-1934-4438-973e-7def1bee507b · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Herrera, A
Reference 65
Source-reported events for the cited work
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Observation a6b0fbf6-e0a2-4917-ad16-56c877e1de33 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Hyperbolically symmetric static fluids: A general study
Reference 66
Source-reported events for the cited work
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Observation 58d330b1-4389-4c2f-82d7-76d036547ebc · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Herrera and L
Reference 67
Source-reported events for the cited work
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Observation 9fd5a9f4-0864-461f-b2ed-bb4a88bd324a · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Herrera, A
Reference 68
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 9c0003a5-b680-42d2-b4b0-bf4108772cfb · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Herrera, A
Reference 69
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 3bdfffa3-01ba-456e-a1c9-ec690e55a545 · outbound
A Methodological Framework for Solving Einsteins Equations in Axially Symmetric Spacetimes Quadrupolar gravitational fields described by the $q-$metric
Reference 70
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.