A stability result for purely radiative spacetimes

Details A stability result for purely radiative spacetimes A stability result for purely radiative spacetimes

2009-10-21

arxiv.org/abs/0910.4073v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 4 figures

Scientific paper

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.

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