Naked Singularities in Higher Dimensional Inhomogeneous Dust Collapse
نویسنده
چکیده
We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a non self-similar higher dimensional Tolman spacetime. The necessary condition for the formation of a naked singularity or a black hole is obtained. The naked singularities are found to be gravitationally strong in the sense of Tipler and provide another example that violates the cosmic censorship conjecture.
منابع مشابه
Higher dimensional inhomogeneous dust collapse and cosmic censorship
We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally strong in the sense of Tipler. Higher dimensions seem to favour black holes rather than naked singularities.
متن کاملNaked Singularities in Higher Dimensional Gravitational Collapse
Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional spacetime and the factors responsible for the appearance of a naked singularity are analyzed in the region close to the centre for the marginally bound case. It is clearly demonstrated that in the former case naked singularities do not appear in the space-time having more than five dimension, which appears ...
متن کاملNaked Singularities in Higher Dimensional Tolman-type Spacetime
Gravitaional collapse of an inhomogeneous dust cloud described by a higher dimensional Tolman type spacetime is studied. The necessary conditions for the formation of a naked singularity or a black hole is obtained.
متن کاملThe Structure of Singularity in Spherical Inhomogeneous Dust Collapse
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...
متن کاملar X iv : g r - qc / 0 21 20 67 v 1 1 6 D ec 2 00 2 Non - marginally bound inhomogeneous dust collapse in higher dimensional space - time
The Cosmic Censorship conjecture (CCC) of Penrose [1] states that in generic situation all singularities arising from regular initial data are clothed by event horizon and hence invisible to distant observers. According to strong version of the conjecture, such singularities are invisible to all observers, i.e., there occur no naked singularities for any observer. The conjecture plays a fundame...
متن کامل