2014/10/01 by Sanjay B. Sarwe, S. Sarwe, R. V. Saraykar · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmic censorship hypothesis #Cosmology and Gravitation Theories #Einstein field equations #Equation of state #Geometry #Gravitation #Gravitational collapse #Gravitational field #Gravitational singularity #Mathematical physics #Naked singularity #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Ring singularity #Singularity #Spacetime #Theoretical physics #White hole #de Sitter–Schwarzschild metric
paper · doi:10.1134/s0202289314040124
published in Gravitation and Cosmology 20(4), 282-289 (Pleiades Publishing)
crossref issued 2014/10/01 · crossref published 2014/10/01 · crossref published-print 2014/10/01 · openalex publication_date 2014/10/01 · crossref published-online 2014/11/25 · crossref created 2014/12/02 · openalex created_date 2025/10/10 · crossref deposited 2026/03/23 · openalex updated_date 2026/07/31 · crossref indexed 2026/07/31
We study the stability of occurrence of black holes and naked singularities that arise as the final states of a complete gravitational collapse of type I matter field in a spherically symmetric N -dimensional spacetime, with the equation of state p = k ρ, 0 ≤ k ≤ 1. We prove that for a regular initial data comprising pressure (or density) profiles at an initial surface t = ti , from which the collapse evolves, there exists a large class of velocity functions and classes of solutions of Einstein equations such that the spacetime evolution goes to a final state which is either a black hole or a naked singularity. We use suitable function spaces for regular initial data leading the collapse to a black hole or a naked singularity and show that these data form an open subset of the set of all regular initial data. In this sense, both outcomes of collapse are stable. These results are discussed and analyzed in the light of the cosmic censorship hypothesis in black hole physics.