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Cosmic string and black hole limits of toroidal Vlasov bodies in general relativity

Journal article
Authors E. Ames
Håkan Andreasson
Anders Logg
Published in Physical Review D
Volume 99
Issue 2
ISSN 2470-0010
Publication year 2019
Published at Department of Mathematical Sciences
Language en
Keywords weak-field gravity, stellar-systems, steady-states, delta-phi, stationary, rings, mu, Astronomy & Astrophysics, Physics, manus dj, 1993, physical review d, v47, p1491
Subject categories Mathematics


We numerically investigate limits of a two-parameter family of stationary solutions to the Einstein-Vlasov system. The solutions are toroidal and have nonvanishing angular momentum. As the parameters are tuned to more relativistic solutions (measured e.g., by an increasing redshift) we provide evidence for a sequence of solutions which approaches the extreme Kerr black hole family. Solutions with angular momentum larger than the square of the mass are also investigated, and in the relativistic limit the near-field geometry of such solutions is observed to become locally rotationally symmetric about the matter density. The existence of a deficit angle in these regions is investigated.

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