Three-dimensional Chern-Simons black holes

2008/07/26 by Karim Ait Moussa, K. Ait Moussa, G. Clement +5 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.78.064065

published as Phys.Rev.D78:064065,2008 · 21 pages

arxiv created 2008/07/26 · openalex publication_date 2008/09/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a certain parameter range. Their mass, angular momentum and entropy are found to satisfy the first law of black hole thermodynamics. These Chern-Simons black holes admit a four-parameter local isometry algebra, which generically is sl(2,R)\ifmmode×\else\texttimes\fiR, and may be generated from the corresponding vacua by local coordinate transformations.

Citations

• Geometry of the 2+1 Black Hole
• Topologically massive gauge theories

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