Black holes versus naked singularities formation in collapsing Einstein clusters

S. Jhingan and G. Magli
Phys. Rev. D 61, 124006 – Published 9 May 2000
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Abstract

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.

  • Received 12 February 1999

DOI:https://doi.org/10.1103/PhysRevD.61.124006

©2000 American Physical Society

Authors & Affiliations

S. Jhingan* and G. Magli

  • Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, 32, 20133 Milano, Italy

  • *Present address: Departamento de Fisica Teorica, Universidad del Pais Vasco, Apdo. 644, E-48080 Bilbao, Spain. Email address: wtpsaxxj@lg.ehu.es
  • Email address: magli@mate.polimi.it

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Issue

Vol. 61, Iss. 12 — 15 June 2000

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