4,263 research outputs found
A stability result for purely radiative spacetimes
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.Comment: 25 pages, 4 figure
‘Anchoring’ as a communicative device in Roman historiography:A discourse linguistic perspective
‘Anchoring’ as a communicative device in Roman historiography:A discourse linguistic perspective
The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field Cosmologies
A frame representation is used to derive a first order quasi-linear symmetric
hyperbolic system for a scalar field minimally coupled to gravity. This
procedure is inspired by similar evolution equations introduced by Friedrich to
study the Einstein-Euler system. The resulting evolution system is used to show
that small nonlinear perturbations of expanding
Friedman-Lema\^itre-Robertson-Walker backgrounds, with scalar field potentials
satisfying certain future asymptotic conditions, decay exponentially to zero,
in synchronous time.Comment: Version 4: Matches final published versio
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