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arXiv 2009-10-21 3 views

A stability result for purely radiative spacetimes

Lübbe, C. · Kroon, J. A. Valiente

Original · EN

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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