2003/05/30 by Naresh Dadhich, Sushant G. Ghosh, S. G. Ghosh +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1142/s0217751x05021038
published as Int.J.Mod.Phys. A20 (2005) 1495-1502 · 4 Pages, RevTeX, no figures, minor changes, new references added, Detailed version to follow
arxiv created 2003/05/30 · openalex publication_date 2005/03/20 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
We study the spherically symmetric collapse of a fluid with nonvanishing radial pressure in higher dimensional space–time. We obtain the general exact solution in the closed form for the equation of state (P r = γρ), 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 cases; (D, γ = 0) and (D+1, γ = -1) where D is the dimension of space–time. For the ultimate end result of the collapse, these two cases are absolutely equivalent, which is indeed a very interesting new result that brings out the interplay between dimension D of space–time and the equation of state parameter γ.