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

QC 20190129
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.

Andreasson, Håkan,1966Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden.;Univ Gothenburg, S-41296 Gothenburg, Sweden.(Swepub:cth)hand (författare)
Logg, Anders,1976Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg,Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden.;Univ Gothenburg, S-41296 Gothenburg, Sweden.(Swepub:cth)logg (författare)
KTHMatematik (Inst.) (creator_code:org_t)

Av författaren/redakt...: Ames, Ellery; Andreasson, Håka ...; Logg, Anders, 19 ...

Om ämnet

Av lärosätet: Göteborgs universitet; Chalmers tekniska högskola; Kungliga Tekniska Högskolan

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