Spherical gravitational collapse in N dimensions
Abstract
We investigate here spherically symmetric gravitational collapse in a spacetime with an arbitrary number of dimensions and with a general type I matter field, which is a broad class that includes most of the physically reasonable matter forms. We show that given the initial data for matter in terms of the initial density and pressure profiles at an initial surface t=t_{i} from which the collapse evolves, there exist the rest of the initial data functions and classes of solutions of Einstein equations which we construct here, such that the spacetime evolution goes to a final state which is either a black hole or a naked singularity, depending on the nature of initial data and evolutions chosen, and subject to validity of the weak energy condition. The results are discussed and analyzed in the light of the cosmic censorship hypothesis in black hole physics. The formalism here combines the earlier results on gravitational collapse in four dimensions in a unified treatment. Also the earlier work is generalized to higherdimensional spacetimes to allow a study of the effect of the number of dimensions on the possible final outcome of the collapse in terms of either a black hole or naked singularity. No restriction is adopted on the number of dimensions, and other limiting assumptions such as selfsimilarity of spacetime are avoided, in order to keep the treatment general. Our methodology allows us to consider to an extent the genericity and stability aspects related to the occurrence of naked singularities in gravitational collapse.
 Publication:

Physical Review D
 Pub Date:
 October 2007
 DOI:
 10.1103/PhysRevD.76.084026
 arXiv:
 arXiv:grqc/0608136
 Bibcode:
 2007PhRvD..76h4026G
 Keywords:

 04.20.Dw;
 04.70.s;
 04.70.Bw;
 Singularities and cosmic censorship;
 Physics of black holes;
 Classical black holes;
 General Relativity and Quantum Cosmology
 EPrint:
 Revtex4, The replaced version matches the published one