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Anti-de Sitter-type 2+1 spacetime of a charged rotating mass

Nikolai V. Mitskievich·Alberto A. Garcia
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Abstract

The exact charged rotating solution of 2+1 Einstein-Maxwell equations with $Λ$ term is obtained and its properties outlined. It generalizes the Cataldo-Cruz-del Campo-Garc{\'ı}a relativistic charged massive black hole on the 2+1 anti-de Sitter cosmological background. We show that rotating solutions correspond to inhomogeneous field equations, thus presence of sources in 2+1 Maxwell's equations cannot be identified with existence of a charge distribution. Instead, these sources are related to the 2+1 Machian 2-form field, and the overall Lagrangian structure of the rotating system is reconstructed.

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Nikolai V. Mitskievich, Alberto A. Garcia. 2001-02-13. Anti-de Sitter-type 2+1 spacetime of a charged rotating mass. https://arxiv.org/abs/gr-qc/0101029

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