Cosmic String and Black Hole Limits of Toroidal Vlasov Bodies in General Relativity

Understand

We numerically investigate limits of a two-parameter family of stationary solutions to the Einstein-Vlasov system.

• The solutions are toroidal and have non-vanishing angular momentum.
• As one tunes to more relativistic solutions (measured for example by an increasing redshift) there exists 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 conical in the sense that there is a deficit angle.