English

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

General Relativity and Quantum Cosmology 2007-05-23 v1

Abstract

We study the gravitational collapse of Type I matter field in NN dimensional spacetime with radial pressure prp_{r} as a function of rr . 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 N6N \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.

Keywords

Cite

@article{arxiv.gr-qc/0504034,
  title  = {N-dimensional gravitational collapse of Type I matter fields with non-zero radial pressure},
  author = {S. B. Sarwe and R. V. Saraykar},
  journal= {arXiv preprint arXiv:gr-qc/0504034},
  year   = {2007}
}

Comments

11 pages. no figure