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

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

2001-01-09

arxiv.org/abs/gr-qc/0101029v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, LaTeX file using amssym.def; corrected references and extended content

Scientific paper

The exact charged rotating solution of 2+1 Einstein-Maxwell equations with $\Lambda$ term is obtained and its properties outlined. It generalizes the Cataldo-Cruz-del Campo-Garc{\'\i}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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