Charged Rotating Black Hole Formation from Thin Shell Collapse in Three Dimensions

Details Charged Rotating Black Hole Formation from Thin Shell Collapse in Three Dimensions Charged Rotating Black Hole Formation from Thin Shell Collapse in Three Dimensions

2004-01-15

arxiv.org/abs/hep-th/0401109v3

Mod.Phys.Lett. A20 (2005) 2649

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures. Discussion on junction conditions and conclusions enlarged. Few references added. Final version for MPLA

Scientific paper

10.1142/S021773230501827X

The thin shell collapse leading to the formation of charged rotating black holes in three dimensions is analyzed in the light of a recently developed Hamiltonian formalism for these systems. It is proposed to demand, as a way to reconcile the properties of an infinitely extended solenoid in flat space with a magnetic black hole in three dimensions, that the magnetic field should vanish just outside the shell. The adoption of this boundary condition results in an exterior solution with a magnetic field different from zero at a finite distance from the shell. The interior solution is also found and assigns another interpretation, in a different context, to the magnetic solution previously obtained by Cl\'{e}ment and by Hirschmann and Welch.

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