The Electrically Charged Extreme BTZ Black Hole with Self (Anti-self) Dual Maxwell Field

Details The Electrically Charged Extreme BTZ Black Hole with Self (Anti-self) Dual Maxwell Field The Electrically Charged Extreme BTZ Black Hole with Self (Anti-self) Dual Maxwell Field

1996-11-04

arxiv.org/abs/gr-qc/9611004v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, Latex. Submitted to Phys. Lett. B

Scientific paper

Recently M. Kamata and T. Koikawa claimed to obtain the charged version of the spinning BTZ black hole solution by assuming an (anti-) self dual condition imposed on the orthonormal basis components of the electric and magnetic fields. We point out that the Kamata-Koikawa field is not a solution of the Einstein-Maxwell equations and we find the correct solution of the studied problem. It is shown that a duality mapping exists among spinning solutions obtained from electrostatic and magnetostatic fields with the help of the local transformation $t\longrightarrow t-\omega \theta \theta \longrightarrow \theta -\omega t.$

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