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

Rodrigo Olea
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Abstract

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 Clément and by Hirschmann and Welch.

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Rodrigo Olea. 2005-11-08. Charged Rotating Black Hole Formation from Thin Shell Collapse in Three Dimensions. https://doi.org/10.1142/s021773230501827x

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