A stability result for purely radiative spacetimes

2009/10/21 by Christian Lübbe, C. Lübbe, Lübbe, C. +3
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.0910.4073

25 pages, 4 figures

arxiv created 2009/10/21 · openalex publication_date 2009/10/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

An existence and stability result for a class of purely radiative vacuum spacetimes arising from hyperboloidal data is given. This result generalises semiglobal existence results for Minkowski-like spacetimes to the case where the reference solution contains gravitational radiation. The analysis makes use of the extended conformal field equations and a gauge based on conformal geodesics so that the location and structure of the conformal boundary of the perturbed solutions is known a priori.

Citations

• The Cauchy problem for quasi-linear symmetric hyperbolic systems
• On the proof of the positive mass conjecture in general relativity

Related

• Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem
• Rigidity of Asymptotically Hyperboloidal Initial Data Sets with Vanishing Mass
• Exterior stability of Minkowski space in generalized harmonic gauge
• Radiative spacetimes
• An Extension of the Stability Theorem of the Minkowski Space in General Relativity