Abstract
A semiglobal stability result for a class of purely radiative vacuum spacetimes arising from hyperboloidal data is given. This result generalizes 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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