4,257 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
A rigidity property of asymptotically simple spacetimes arising from conformally flat data
Given a time symmetric initial data set for the vacuum Einstein field
equations which is conformally flat near infinity, it is shown that the
solutions to the regular finite initial value problem at spatial infinity
extend smoothly through the critical sets where null infinity touches spatial
infinity if and only if the initial data coincides with Schwarzschild data near
infinity.Comment: 37 page
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