1999/02/28 by Sanjay Jhingan, S. Jhingan, Giulio Magli +1 · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.61.124006
13 pages, LaTeX format. To appear in Physical Review D
arxiv created 2000/01/10 · openalex publication_date 2000/05/09 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Nonstatic, spherically symmetric clusters of counter-rotating particles, of the type first introduced by Einstein, are analyzed here. The initial data space can be parametrized in terms of three arbitrary functions: namely, initial density, velocity, and angular momentum profiles. The final state of collapse, black hole or naked singularity, turns out to depend on the order of the first nonvanishing derivatives of such functions at the center. The work extends recent results by Harada, Iguchi, and Nakao.