The final fate of spherical inhomogeneous dust collapse
نویسندگان
چکیده
منابع مشابه
0 D ec 1 99 6 INITIAL DATA AND THE FINAL FATE OF INHOMOGENEOUS DUST COLLAPSE
We examine here the relevance of the initial state of a collapsing dust cloud towards determining it's final fate in the course of a continuing gravitational collapse. It is shown that given any arbitrary matter distribution M (r) for the cloud at the initial epoch, there is always a freedom to choose rest of the initial data, namely the initial velocities of the collapsing spherical shells, so...
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We study here the structure of singularity forming in gravitational collapse of spherically symmetric inhomogeneous dust. Such a collapse is described by the TolmanBondi-Lemâitre metric, which is a two-parameter family of solutions to Einstein equations, characterized by two free functions of the radial coordinate, namely the ‘mass function’ F (r) and the ‘energy function’ f(r). The main new re...
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We give a model of the higher-dimensional spherically symmetric gravitational collapse of a dust cloud including the perturbative effects of quantum gravity. The n(≥ 5)-dimensional action with the Gauss-Bonnet term for gravity is considered and a simple formulation of the basic equations is given for the spacetime M ≈ M × K with a perfect fluid and a cosmological constant. This is a generalizat...
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We examine here the nature of the central singularity forming in the spherically symmetric collapse of a dust cloud and it is shown that this is always a strong curvature singularity where gravitational tidal forces diverge powerfully. An important consequence is that the nature of the naked singularity forming in the dust collapse turns out to be stable against the perturbations in the initial...
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The Cosmic Censorship Conjecture (CCC)[1,2] states that the space-time singularity produced by gravitational collapse must be covered by the horizon. The CCC is yet one of the unresolved problem in General Relativity. In fact the conjecture has not yet any precise mathematical proof. However the singularity theorems as such do not state anything about the visibility of the singularity to an out...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1996
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/13/3/019