Gravitational collapse to toroidal, cylindrical, and planar black holes

José P. S. Lemos
Phys. Rev. D 57, 4600 – Published 15 April 1998
PDFExport Citation

Abstract

Gravitational collapse of non-spherical symmetric matter leads inevitably to non-static external spacetimes. It is shown here that gravitational collapse of matter with toroidal topology in a toroidal anti–de Sitter background proceeds to form a toroidal black hole. According to the analytical model presented, the collapsing matter absorbs energy in the form of radiation (be it scalar, neutrinos, electromagnetic, or gravitational) from the exterior spacetime. Upon decompactification of one or two coordinates of the torus one gets collapsing solutions of cylindrical or planar matter onto black strings or black membranes, respectively. The results have implications on the hoop conjecture.

  • Received 4 September 1997

DOI:https://doi.org/10.1103/PhysRevD.57.4600

©1998 American Physical Society

Authors & Affiliations

José P. S. Lemos

  • Departamento de Astrofísica, Observatório Nacional-CNPq, Rua General José Cristino 77, 20921 Rio de Janeiro, Brazil
  • Departamento de Física, Instituto Superior Técnico, Avenida Rovisco Pais 1, 1096 Lisboa, Portugal

References (Subscription Required)

Click to Expand
Issue

Vol. 57, Iss. 8 — 15 April 1998

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×