منابع مشابه
Manufacture of Gowdy spacetimes with spikes
In numerical studies of Gowdy spacetimes evidence has been found for the development of localized features (‘spikes’) involving large gradients near the singularity. The rigorous mathematical results available up to now did not cover this kind of situation. In this work we show the existence of large classes of Gowdy spacetimes exhibiting features of the kind discovered numerically. These space...
متن کاملAcausality in Gowdy spacetimes
We present a parametrization of T 3 and S ×S2 Gowdy cosmological models which allows us to study both types of topologies simultaneously. We show that there exists a coordinate system in which the general solution of the linear polarized special case (with both topologies) has exactly the same functional dependence. This unified parametrization is used to investigate the existence of Cauchy hor...
متن کاملOn Gowdy Vacuum Spacetimes
By Fuchsian techniques, a large family of Gowdy vacuum spacetimes have been constructed for which one has detailed control over the asymptotic behaviour. In this paper we formulate a condition on initial data yielding the same form of asymptotics.
متن کاملCosmic Censorship for Gowdy Spacetimes
Due to the complexity of Einstein's equations, it is often natural to study a question of interest in the framework of a restricted class of solutions. One way to impose a restriction is to consider solutions satisfying a given symmetry condition. There are many possible choices, but the present article is concerned with one particular choice, which we shall refer to as Gowdy symmetry. We begin...
متن کاملAsymptotic Behavior of Geodesics in Gowdy Spacetimes
Recent work by the authors led to the development of a mathematical theory dealing with 'second– order hyperbolic Fuchsian systems', as we call them. In the present paper, we adopt a physical standpoint and discuss the implications of this theory which provides one with a new tool to tackle the Einstein equations of general relativity (under certain symmetry assumptions). Specifically, we formu...
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ژورنال
عنوان ژورنال: Physical Review D
سال: 2003
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.67.124009