Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:36:52.126931Z
Paper Citation Record · LEDGER
Null Foliations of Spacetime and the Geometry of Black Hole Horizons
As of 16 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:1908.08739.
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 2026-08-15T06:32:42.880941+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
Reference resolution
27 of 27 outbound references displayed
- verified exact0
- verified fuzzy27
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation eca290ff-5c25-4fe6-b174-19a671fb43ec · outbound
This paper cites D ynamical structure and definition of energy in general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons D ynamical structure and definition of energy in general relativity
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.440846Z
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.
Observation 28395eae-af19-4d62-b40b-5e55c9c20293 · outbound
This paper cites C anonical vari- ables for general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons C anonical vari- ables for general relativity
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.429172Z
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.
Observation 15d09c1d-0501-49ef-a162-9ed130e4606e · outbound
This paper cites R epublication of: The dynamics of general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons R epublication of: The dynamics of general relativity
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.418447Z
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.
Observation ce9564c5-0813-4724-9628-9f945d8a7dd0 · outbound
This paper cites Lectures on non-perturbative canonical gravity, volume 4.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Lectures on non-perturbative canonical gravity, volume 4
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.407292Z
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.
Observation 60ab8ffd-8d3a-49ee-b7e9-ce66056fbb55 · outbound
This paper cites Covariant doub le-null dynamics: 2+ 2-splitting of the Einstein equations.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Covariant doub le-null dynamics: 2+ 2-splitting of the Einstein equations
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.396074Z
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.
Observation 2dab9813-cb40-4a2e-bfea-1bcf64101524 · outbound
This paper cites Quasilocal energy and co n- served charges derived from the gravitational action.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Quasilocal energy and co n- served charges derived from the gravitational action
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.385328Z
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.
Observation 880a14a6-ab5f-4c43-b33d-be17a2f23a23 · outbound
This paper cites Chrusciel and Helmut Friedrich.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Chrusciel and Helmut Friedrich
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.375125Z
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.
Observation 04b31c0b-2ebd-4a27-bcee-9d3c065a981b · outbound
This paper cites Covariant 2+ 2 formulation of the initial- value problem in general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Covariant 2+ 2 formulation of the initial- value problem in general relativity
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.364777Z
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.
Observation bc05e1aa-f26b-40fc-a066-6951823eb833 · outbound
This paper cites The Ke rr spacetime in generalized Bondi-Sachs coordinates.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons The Ke rr spacetime in generalized Bondi-Sachs coordinates
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.353601Z
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.
Observation 4fde3302-163d-4c78-9163-9c04730bc23e · outbound
This paper cites The asymptotic characteristic init ial value problem for Einstein’s vacuum field equations as an initial value proble m for a first- order quasilinear symmetric hyperbolic system.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons The asymptotic characteristic init ial value problem for Einstein’s vacuum field equations as an initial value proble m for a first- order quasilinear symmetric hyperbolic system
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.343365Z
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.
Observation ba4d92ad-6a7a-42b9-8e16-7c1fd876b548 · outbound
This paper cites On the rigidity the- orem for spacetimes with a stationary event horizon or a comp act cauchy horizon.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons On the rigidity the- orem for spacetimes with a stationary event horizon or a comp act cauchy horizon
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.333610Z
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.
Observation 1ce5cca3-6cb6-4577-a2d5-9acf96432e8b · outbound
This paper cites Characteristic in itial data and wavefront singularities in general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Characteristic in itial data and wavefront singularities in general relativity
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.322326Z
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.
Observation 2aba21c4-f69b-4e76-8259-f0f83c8e780c · outbound
This paper cites Gravitational radiation in an expan ding universe.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Gravitational radiation in an expan ding universe
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.312314Z
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.
Observation 43f14cea-985e-438d-9ddd-ade2d239e73b · outbound
This paper cites The gravitationa l Hamilto- nian, action, entropy and surface terms.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons The gravitationa l Hamilto- nian, action, entropy and surface terms
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.300701Z
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.
Observation 773cddaa-fcf1-43cf-ad7e-4df31c7e391c · outbound
This paper cites Dual-null dynamics of the Einstein field.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Dual-null dynamics of the Einstein field
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.289696Z
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.
Observation da5eeec3-b9dc-48ee-ab44-dd591bf07532 · outbound
This paper cites General laws of black-hole dynamics.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons General laws of black-hole dynamics
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.280007Z
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.
Observation 8d8ace14-3e4e-472f-8f3e-3f735a0bdf1e · outbound
This paper cites Quasilocal gravitational energy.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Quasilocal gravitational energy
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.269866Z
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.
Observation 38fad01f-448a-42f7-8742-9410912d6bec · outbound
This paper cites Kerr black holes in horizon-generating form.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Kerr black holes in horizon-generating form
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.259598Z
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.
Observation 8c239c9b-53ea-4a32-b046-9d90f507084f · outbound
This paper cites Harmonic and Nu ll Descriptions of Gravitational Radiation.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Harmonic and Nu ll Descriptions of Gravitational Radiation
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.248503Z
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.
Observation a423bef6-cc12-48b3-b8a1-9bab145fe7b2 · outbound
This paper cites Symmetries of cos mological Cauchy horizons.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Symmetries of cos mological Cauchy horizons
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.238226Z
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.
Observation 58e6b8b2-f262-49ca-a313-2e7574e10604 · outbound
This paper cites Spacetimes foliated by Killing horizons.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Spacetimes foliated by Killing horizons
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.228140Z
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.
Observation c1e03498-1f98-4f72-8368-608e7bdf79e6 · outbound
This paper cites Some spherical gr avitational waves in general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Some spherical gr avitational waves in general relativity
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.216677Z
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.
Observation 7be7e03a-d81e-41f7-bc3d-5076b135d3ec · outbound
This paper cites Quantum gravity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Quantum gravity
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.202849Z
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.
Observation f139205f-cb2d-43ff-bcb6-fa48e59c7f80 · outbound
This paper cites On the characteristic initial value pro blem in gravitational theory.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons On the characteristic initial value pro blem in gravitational theory
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.189891Z
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.
Observation 8832f902-f322-4066-8e9f-c9ea4c8b9017 · outbound
This paper cites The characteristic initial value probl em in general relativ- ity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons The characteristic initial value probl em in general relativ- ity
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.178116Z
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.
Observation 224c1f58-0671-4051-bb06-d28475a55fa3 · outbound
This paper cites Numerical relativ ity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Numerical relativ ity
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.166450Z
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.
Observation f588981a-0174-40f4-b678-12eea7cf1f60 · outbound
This paper cites Modern canonical quantum general relativity.
Null Foliations of Spacetime and the Geometry of Black Hole Horizons Modern canonical quantum general relativity
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:36:52.153398Z
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.
Pith citing papers
No inbound Pith citation observations are available.