N-dimensional gravitational collapse of Type I matter fields with non-zero radial pressure

Details N-dimensional gravitational collapse of Type I matter fields with non-zero radial pressure N-dimensional gravitational collapse of Type I matter fields with non-zero radial pressure

2005-04-08

arxiv.org/abs/gr-qc/0504034v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages. no figure

Scientific paper

We study the gravitational collapse of Type I matter field in $N$ dimensional spacetime with radial pressure $p_{r}$ as a function of $r $. We find that for a given smooth initial data set satisfying physical requirements, naked singularities exist for spacetime dimensions N=4 and 5 while for $N \geq 6$ Cosmic Censorship Conjecture withholds its ground. We, also, study the collapse with linear equation of state and find that, similar to dust collapse with appropriate choice of initial data naked singularities occur in all dimensions.

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