Conformal compactification and affine-null metric formulation of the Einstein equations | Paper Citation Record

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This paper cites The transition from the physical spacetime to the con- formally unphysical spacetime is given by gab(yc) = Ω2(yc)˜gab(yc) , Φ(yc) = ˜Φ(yc) Ω(yc).

Conformal compactification and affine-null metric formulation of the Einstein equations The transition from the physical spacetime to the con- formally unphysical spacetime is given by gab(yc) = Ω2(yc)˜gab(yc) , Φ(yc) = ˜Φ(yc) Ω(yc)

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This paper cites (A21) 14 The Misner-Sharp mass is given by (see eq.

Conformal compactification and affine-null metric formulation of the Einstein equations (A21) 14 The Misner-Sharp mass is given by (see eq

Reference 2

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This paper cites Penrose, Phys.

Conformal compactification and affine-null metric formulation of the Einstein equations Penrose, Phys

Reference 3

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This paper cites Penrose, Conformal treatment of infinity, edited by C.

Conformal compactification and affine-null metric formulation of the Einstein equations Penrose, Conformal treatment of infinity, edited by C

Reference 4

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This paper cites Geroch, Asymptotic Structure of Space-Time (1977).

Conformal compactification and affine-null metric formulation of the Einstein equations Geroch, Asymptotic Structure of Space-Time (1977)

Reference 5

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This paper cites Dealing with delicate issues in waveforms calculations.

Conformal compactification and affine-null metric formulation of the Einstein equations Dealing with delicate issues in waveforms calculations

Reference 6

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This paper cites Estimating total momentum at finite distances.

Conformal compactification and affine-null metric formulation of the Einstein equations Estimating total momentum at finite distances

Reference 7

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This paper cites Asymptotics of Schwarzschild black hole perturbations.

Conformal compactification and affine-null metric formulation of the Einstein equations Asymptotics of Schwarzschild black hole perturbations

Reference 8

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This paper cites Estimating Energy-Momentum and Angular Momentum Near Null Infinity.

Conformal compactification and affine-null metric formulation of the Einstein equations Estimating Energy-Momentum and Angular Momentum Near Null Infinity

Reference 9

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This paper cites Penrose, Proc.

Conformal compactification and affine-null metric formulation of the Einstein equations Penrose, Proc

Reference 10

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Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 11

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This paper cites Hawking, J.

Conformal compactification and affine-null metric formulation of the Einstein equations Hawking, J

Reference 12

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Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

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This paper cites Ashtekar, Phys.

Conformal compactification and affine-null metric formulation of the Einstein equations Ashtekar, Phys

Reference 14

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This paper cites Ashtekar and M.

Conformal compactification and affine-null metric formulation of the Einstein equations Ashtekar and M

Reference 15

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This paper cites Penrose, J.

Conformal compactification and affine-null metric formulation of the Einstein equations Penrose, J

Reference 16

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This paper cites Penrose, Int.

Conformal compactification and affine-null metric formulation of the Einstein equations Penrose, Int

Reference 17

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This paper cites Penrose and M.

Conformal compactification and affine-null metric formulation of the Einstein equations Penrose and M

Reference 18

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This paper cites The Large N Limit of Superconformal Field Theories and Supergravity.

Conformal compactification and affine-null metric formulation of the Einstein equations The Large N Limit of Superconformal Field Theories and Supergravity

Reference 19

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This paper cites Aharony, S.

Conformal compactification and affine-null metric formulation of the Einstein equations Aharony, S

Reference 20

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Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 21

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Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 22

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This paper cites Friedrich, Proc.

Conformal compactification and affine-null metric formulation of the Einstein equations Friedrich, Proc

Reference 23

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This paper cites Friedrich, Proc.

Conformal compactification and affine-null metric formulation of the Einstein equations Friedrich, Proc

Reference 24

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This paper cites Friedrich, Commun.

Conformal compactification and affine-null metric formulation of the Einstein equations Friedrich, Commun

Reference 25

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This paper cites Friedrich, J.

Conformal compactification and affine-null metric formulation of the Einstein equations Friedrich, J

Reference 26

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This paper cites Friedrich, J.

Conformal compactification and affine-null metric formulation of the Einstein equations Friedrich, J

Reference 27

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This paper cites Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations.

Conformal compactification and affine-null metric formulation of the Einstein equations Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. I. The conformal field equations

Reference 28

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This paper cites Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations.

Conformal compactification and affine-null metric formulation of the Einstein equations Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. II. The evolution equations

Reference 29

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This paper cites Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. III. On the determination of radiation.

Conformal compactification and affine-null metric formulation of the Einstein equations Numerical treatment of the hyperboloidal initial value problem for the vacuum Einstein equations. III. On the determination of radiation

Reference 30

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This paper cites A Scheme to Numerically Evolve Data for the Conformal Einstein Equation.

Conformal compactification and affine-null metric formulation of the Einstein equations A Scheme to Numerically Evolve Data for the Conformal Einstein Equation

Reference 31

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Conformal compactification and affine-null metric formulation of the Einstein equations Frauendiener and H

Reference 32

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Conformal compactification and affine-null metric formulation of the Einstein equations Frauendiener, Living Rev

Reference 33

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Conformal compactification and affine-null metric formulation of the Einstein equations A conformal approach to numerical calculations of asymptotically flat spacetimes

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Conformal compactification and affine-null metric formulation of the Einstein equations Numerical Calculation of Conformally Smooth Hyperboloidal Data

Reference 35

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Conformal compactification and affine-null metric formulation of the Einstein equations Hyperboloidal evolution with the Einstein equations

Reference 36

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Conformal compactification and affine-null metric formulation of the Einstein equations An axisymmetric evolution code for the Einstein equations on hyperboloidal slices

Reference 37

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Conformal compactification and affine-null metric formulation of the Einstein equations The numerical initial boundary value problem for the generalized conformal field equations

Reference 38

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Conformal compactification and affine-null metric formulation of the Einstein equations COFFEE -- An MPI-parallelized Python package for the numerical evolution of differential equations

Reference 39

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Conformal compactification and affine-null metric formulation of the Einstein equations Fully non-linear gravitational wave simulations from past to future null-infinity

Reference 40

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Conformal compactification and affine-null metric formulation of the Einstein equations Newman and R

Reference 41

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Conformal compactification and affine-null metric formulation of the Einstein equations Bondi, M

Reference 42

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Reference 43

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This paper cites Gauge Invariant Spectral Cauchy Characteristic Extraction.

Conformal compactification and affine-null metric formulation of the Einstein equations Gauge Invariant Spectral Cauchy Characteristic Extraction

Reference 44

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Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 45

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Conformal compactification and affine-null metric formulation of the Einstein equations Cauchy-characteristic extraction in numerical relativity

Reference 46

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This paper cites Stable characteristic evolution of generic 3-dimensional single-black-hole spacetimes.

Conformal compactification and affine-null metric formulation of the Einstein equations Stable characteristic evolution of generic 3-dimensional single-black-hole spacetimes

Reference 47

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Conformal compactification and affine-null metric formulation of the Einstein equations Spherical collapse of supermassive stars: neutrino emission and gamma-ray bursts

Reference 48

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Conformal compactification and affine-null metric formulation of the Einstein equations Simulating the dynamics of relativistic stars via a light-cone approach

Reference 49

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Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

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Conformal compactification and affine-null metric formulation of the Einstein equations Critical phenomena in gravitational collapse

Reference 51

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This paper cites Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field.

Conformal compactification and affine-null metric formulation of the Einstein equations Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field

Reference 52

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This paper cites News from Critical Collapse: Bondi Mass, Tails and Quasinormal Modes.

Conformal compactification and affine-null metric formulation of the Einstein equations News from Critical Collapse: Bondi Mass, Tails and Quasinormal Modes

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This paper cites Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom.

Conformal compactification and affine-null metric formulation of the Einstein equations Fully relativistic three-dimensional Cauchy-characteristic matching for physical degrees of freedom

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Conformal compactification and affine-null metric formulation of the Einstein equations Winicour, Living Rev

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Conformal compactification and affine-null metric formulation of the Einstein equations Bondi-Sachs Formalism

Reference 56

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This paper cites The affine-null metric formulation of Einstein's equations.

Conformal compactification and affine-null metric formulation of the Einstein equations The affine-null metric formulation of Einstein's equations

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This paper cites Retarded radiation from colliding black holes in the close limit.

Conformal compactification and affine-null metric formulation of the Einstein equations Retarded radiation from colliding black holes in the close limit

Reference 58

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.836640Z

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This paper cites Affine-null metric formulation of General Relativity at two intersecting null hypersurfaces.

Conformal compactification and affine-null metric formulation of the Einstein equations Affine-null metric formulation of General Relativity at two intersecting null hypersurfaces

Reference 59

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.823004Z

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Observation 09c9c45c-5790-4cd6-a9d5-d7067864ed76 · outbound

This paper cites The affine-null formulation of the gravitational equations: spherical case.

Conformal compactification and affine-null metric formulation of the Einstein equations The affine-null formulation of the gravitational equations: spherical case

Reference 60

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.808503Z

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Observation 24befded-96a2-4a34-831a-b618ab99d413 · outbound

This paper cites Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry.

Conformal compactification and affine-null metric formulation of the Einstein equations Characteristic initial value problems for the Einstein-Maxwell-scalar field equations in spherical symmetry

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.795671Z

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Observation 0b379455-507a-4a35-8a92-6c83afa5a8cd · outbound

This paper cites Apparent horizon tracking in supercritical solutions of the Einstein-scalar field equations in spherical symmetry in affine-null coordinates.

Conformal compactification and affine-null metric formulation of the Einstein equations Apparent horizon tracking in supercritical solutions of the Einstein-scalar field equations in spherical symmetry in affine-null coordinates

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.781819Z

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Observation b7c76ffa-5ec2-4c27-aa77-6fffb4413c65 · outbound

This paper cites an unresolved cited work.

Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-16T10:17:21.635893Z

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Observation df482ce6-768b-43dd-bf4c-eb38692d0703 · outbound

This paper cites an unresolved cited work.

Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:17:22.263722Z

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Observation e1f69e08-5e72-4242-8712-475279b16571 · outbound

This paper cites an unresolved cited work.

Conformal compactification and affine-null metric formulation of the Einstein equations Unresolved cited work

Reference 65

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:17:22.254509Z

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Observation 49b68858-5af0-4cb5-9fa1-e176b11815eb · outbound

This paper cites Poisson, (Cambridge University Press, 2009) A Rela- tivist’s Toolkit: The Mathematics of Black-Hole Mechan- ics.

Conformal compactification and affine-null metric formulation of the Einstein equations Poisson, (Cambridge University Press, 2009) A Rela- tivist’s Toolkit: The Mathematics of Black-Hole Mechan- ics

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:17:22.244327Z

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Observation 994d5d53-9f09-44ce-bfc0-edaabba471b9 · outbound

This paper cites The Bondi-Sachs metric at the vertex of a null cone: axially symmetric vacuum solutions.

Conformal compactification and affine-null metric formulation of the Einstein equations The Bondi-Sachs metric at the vertex of a null cone: axially symmetric vacuum solutions

Reference 67

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.767477Z

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Observation 55d1e49b-7167-4324-aba6-99c47bb6b746 · outbound

This paper cites Slowly rotating Kerr metric derived from the Einstein equations in affine-null coordinates.

Conformal compactification and affine-null metric formulation of the Einstein equations Slowly rotating Kerr metric derived from the Einstein equations in affine-null coordinates

Reference 68

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.754552Z

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Observation 2d0f8fd0-b914-48e7-ba50-e268515ca4fc · outbound

This paper cites The motion of point particles in curved spacetime.

Conformal compactification and affine-null metric formulation of the Einstein equations The motion of point particles in curved spacetime

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-16T10:17:21.654885Z

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Observation bb09aff3-e098-4f3d-a50e-d1d3e82b94fe · outbound

This paper cites Gomez and J.

Conformal compactification and affine-null metric formulation of the Einstein equations Gomez and J

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:17:22.235179Z

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Observation 72201d63-6aed-4dfd-90f5-b87761a97f85 · outbound

This paper cites Shu and S.

Conformal compactification and affine-null metric formulation of the Einstein equations Shu and S

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-16T10:17:21.661208Z

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Observation 6a30714f-4a98-40b9-86d7-82df8a8f7eee · outbound

This paper cites Global energy conservation in nonlinear spherical characteristic evolutions.

Conformal compactification and affine-null metric formulation of the Einstein equations Global energy conservation in nonlinear spherical characteristic evolutions

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.733466Z

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Observation ee1d4aa6-c33f-4765-b52a-3aee283fbe95 · outbound

This paper cites Fixed mesh refinement in the characteristic formulation of General Relativity.

Conformal compactification and affine-null metric formulation of the Einstein equations Fixed mesh refinement in the characteristic formulation of General Relativity

Reference 73

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.721589Z

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Observation 0de595ce-5351-45a3-858a-d6aa784476b4 · outbound

This paper cites Israel, Phys.

Conformal compactification and affine-null metric formulation of the Einstein equations Israel, Phys

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:17:22.220099Z

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Observation 5576bc58-2b6a-4b26-90b9-f54c22216db0 · outbound

This paper cites Spherically symmetric black holes and affine-null metric formulation of Einstein's equations.

Conformal compactification and affine-null metric formulation of the Einstein equations Spherically symmetric black holes and affine-null metric formulation of Einstein's equations

Reference 75

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:17:21.708307Z

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