The role of the equation of state and the space-time dimension in spherical collapse

Details The role of the equation of state and the space-time dimension in spherical collapse The role of the equation of state and the space-time dimension in spherical collapse

2003-05-23

arxiv.org/abs/gr-qc/0305088v2

Int.J.Mod.Phys. A20 (2005) 1495-1502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 Pages, RevTeX, no figures, minor changes, new references added, Detailed version to follow

Scientific paper

10.1142/S0217751X05021038

We study the spherically symmetric collapse of a fluid with non-vanishing radial pressure in higher dimensional space-time. We obtain the general exact solution in the closed form for the equation of state ($P_r = \gamma \rho$) which leads to the explicit construction of the root equation governing the nature (black hole versus naked singularity) of the central singularity. A remarkable feature of the root equation is its invariance for the three cases: (${D+1}, {\gamma = -1}$), (${D}, {\gamma = 0}$) and (${D - 1}, {\gamma = 1}$) where $D$ is the dimension of space-time. That is, for the ultimate end result of the collapse, $D$-dimensional dust, ${D+1}$ - AdS (anti de Sitter)-like and ${D-1}$ - dS-like are absolutely equivalent.

Affiliated with

Also associated with

No associations

Rating

The role of the equation of state and the space-time dimension in spherical collapse does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The role of the equation of state and the space-time dimension in spherical collapse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The role of the equation of state and the space-time dimension in spherical collapse will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-133412