Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:32:11.862731Z
Paper Citation Record · LEDGER
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity
As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2608.08818.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:12:14.000887Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T00:12:14.039736Z
Reference resolution
31 of 31 outbound references displayed
- verified exact3
- verified fuzzy21
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 64881003-f63f-48e2-bf5a-6629d96ecc9f · outbound
This paper cites Relativistic cosmology. I,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Relativistic cosmology. I,
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.378214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dd41bbe4-a590-4af4-98b8-60c3c1bc24e2 · outbound
This paper cites The singularities of gravitational collapse and cosmology,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity The singularities of gravitational collapse and cosmology,
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.367600Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 09b49679-4c25-4208-b784-fa12c5f6d4eb · outbound
This paper cites an unresolved cited work.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.550056Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dee91def-d113-4c8d-9d9a-831c4f9e8756 · outbound
This paper cites The Raychaudhuri equation in inhomogeneous FLR W space- time: Af(R)-gravity model,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity The Raychaudhuri equation in inhomogeneous FLR W space- time: Af(R)-gravity model,
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.350011Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a91bcf93-197f-4cf1-a7f9-cc02e9bfca95 · outbound
This paper cites Constraining the number of horizons with energy conditions,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Constraining the number of horizons with energy conditions,
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.238796Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7571bca3-6426-4e4b-8183-b9df2560f337 · outbound
This paper cites No inner-horizon the- orem for black holes with charged scalar hairs,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity No inner-horizon the- orem for black holes with charged scalar hairs,
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.220292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6ad1a504-edc7-4e9d-850e-95bae1d3cfc4 · outbound
This paper cites No Cauchy horizon theorem for nonlinear electrodynamics black holes with charged scalar hairs,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity No Cauchy horizon theorem for nonlinear electrodynamics black holes with charged scalar hairs,
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.211508Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c611158a-7878-486c-8e8c-cb5f4381a624 · outbound
This paper cites No scalar-haired Cauchy horizon theorem in Einstein–Maxwell–Horndeski theories,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity No scalar-haired Cauchy horizon theorem in Einstein–Maxwell–Horndeski theories,
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.202174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 597dcb9a-5fab-43ed-8b97-4bb5006fbe32 · outbound
This paper cites No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity No scalar-haired Cauchy horizon theorem in charged Gauss–Bonnet black holes,
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.191795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation aaa2b175-065b-4ff9-8976-3a5c9de77449 · outbound
This paper cites Energy conditions in modified gravity.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Energy conditions in modified gravity
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.608212Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a933b337-0b75-4ca1-943c-a915b1539d45 · outbound
This paper cites Generalized energy conditions in Extended Theories of Gravity.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Generalized energy conditions in Extended Theories of Gravity
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.613172Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5441df00-7c65-479e-a022-6e0f5b41d7cd · outbound
This paper cites f(R) theories of gravity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity f(R) theories of gravity,
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.182341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a453397c-adca-4708-b25e-4170d0561363 · outbound
This paper cites f(R) theories,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity f(R) theories,
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.172565Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0b0311bc-aef9-42aa-b1f5-646831f057a9 · outbound
This paper cites Unified cosmic history in modified gravity: fromF(R) theory to Lorentz non- invariant models,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Unified cosmic history in modified gravity: fromF(R) theory to Lorentz non- invariant models,
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.162225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6e4fb0df-0e61-46b0-858b-559f607a7717 · outbound
This paper cites Extended theories of gravity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Extended theories of gravity,
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.152539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c70a1f6e-e649-468f-ba99-8afde1d419d7 · outbound
This paper cites F(R) gravity and in- flation,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity F(R) gravity and in- flation,
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.143058Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eec44fcb-9d6d-4556-a078-d9d63c0710c0 · outbound
This paper cites Spherically symmetric so- lutions of modified field equations inf(R) theories of gravity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Spherically symmetric so- lutions of modified field equations inf(R) theories of gravity,
Reference 17
- Resolution
- verified exact
- raw_fallback, observed 2026-08-14T04:32:12.017715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2507b15d-4e45-4b9a-87af-aac681f8f862 · outbound
This paper cites Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Consistency Condition of Spherically Symmetric Solutions in $f(R)$ Gravity
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:11.954916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 567f84f7-6a9f-4e4c-80a2-c2a0e84796c8 · outbound
This paper cites Static spherically symmet- ric solutions inF(R) gravity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Static spherically symmet- ric solutions inF(R) gravity,
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.133898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cd566848-52dd-49af-9c1d-b86715cb48dd · outbound
This paper cites Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature inf(R) gravity theories,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature inf(R) gravity theories,
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.124984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 436a431f-c6dc-4d7e-8186-611b938be75a · outbound
This paper cites Exact rotating black hole solutions forf(R) gravity by the modified Newman–Janis algorithm,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Exact rotating black hole solutions forf(R) gravity by the modified Newman–Janis algorithm,
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.114446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 739c05c1-a2c7-4387-9583-3a6b465430a9 · outbound
This paper cites Exact solutions of f(R) gravity coupled to nonlinear electrodynamics.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.832038Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea76248f-4473-47ad-bcf6-495873cbbf05 · outbound
This paper cites Spherically symmetric and static solutions inf(R) gravity coupled with electro- magnetic fields,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Spherically symmetric and static solutions inf(R) gravity coupled with electro- magnetic fields,
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.101432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8e78eb39-7c21-4286-8882-ac0e8026db3f · outbound
This paper cites Exact charged black hole solutions inDdimensions inf(R) gravity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Exact charged black hole solutions inDdimensions inf(R) gravity,
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.089352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a5d2f877-a2a7-4a0a-9bfd-fcf0a3bd54fe · outbound
This paper cites Thermodynamics of topological black holes in $R^{2}$ gravity.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Thermodynamics of topological black holes in $R^{2}$ gravity
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T04:32:11.928627Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ae9a74d1-12f0-4aaa-a7ee-2e3eb229f178 · outbound
This paper cites Topological phantom AdS black holes inF(R) gravity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Topological phantom AdS black holes inF(R) gravity,
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.076930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 96b7bc8f-8a69-429c-9b7b-465a71104158 · outbound
This paper cites Cor- rected thermodynamics of black holes inf(R) gravity with electrodynamic field and cosmological constant,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Cor- rected thermodynamics of black holes inf(R) gravity with electrodynamic field and cosmological constant,
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.065394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 05f815a8-a0f1-4996-b7da-215c3119c981 · outbound
This paper cites Energy conditions in static, spherically symmetric spacetimes and effective geometries.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Energy conditions in static, spherically symmetric spacetimes and effective geometries
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.852118Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f8584bf-4d9d-46aa-be35-9f6e094bed29 · outbound
This paper cites Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity,.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity,
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T04:32:12.052445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8283dc78-f2ee-42e8-ab5c-4d9254b2a254 · outbound
This paper cites Modified-gravity wormholes without exotic matter.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity Modified-gravity wormholes without exotic matter
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.859241Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 72f90fee-9afc-407e-b173-12889c9b784b · outbound
This paper cites On the gravitational field of a sphere of incompressible fluid according to Einstein's theory.
Scalaron-modified null focusing and radial monotonicity in static f(R) gravity On the gravitational field of a sphere of incompressible fluid according to Einstein's theory
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:32:11.862731Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation ed2ca076-d65b-4599-bb1c-88ffdc8a3460 · inbound
Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity cites this paper.
Horizon-regular cross-focusing and inner-horizon obstructions in spherical f(R) gravity Scalaron-modified null focusing and radial monotonicity in static f(R) gravity
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T00:12:14.047207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.