English

A stability result for purely radiative spacetimes

General Relativity and Quantum Cosmology 2009-10-22 v1

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.

Keywords

Cite

@article{arxiv.0910.4073,
  title  = {A stability result for purely radiative spacetimes},
  author = {C. Lübbe and J. A. Valiente Kroon},
  journal= {arXiv preprint arXiv:0910.4073},
  year   = {2009}
}

Comments

25 pages, 4 figures

R2 v1 2026-06-21T14:01:26.860Z