1998/07/31 by Tomohiro Harada · 3 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Naked singularity #Perfect fluid #Physics #Quantum mechanics #Singularity #Solar and Space Plasma Dynamics #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.58.104015
published as Phys.Rev. D58 (1998) 104015 · 17 pages, including 21 ps figures. Accepted for publication in Physical Review D, Typos corrected, References updated
arxiv created 1998/09/08 · openalex publication_date 1998/10/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The final fate of the spherically symmetric collapse of a perfect fluid which follows the \ensuremathγ-law equation of state and adiabatic condition is investigated. Full general relativistic hydrodynamics is solved numerically using a retarded time coordinate, the so-called observer time coordinate. Thanks to this coordinate, the causal structure of the resultant space-time is automatically constructed. Then, it is found that a globally naked, shell-focusing singularity can occur at the center from relativistically high-density, isentropic, and time symmetric initial data if \ensuremathγ\ensuremath\lesssim1.01 within the numerical accuracy. The result is free from the assumption of self-similarity. The upper limit of \ensuremathγ with which a naked singularity can occur from generic initial data is consistent with the result of Ori and Piran based on the assumption of self-similarity.