Rotating black hole solution in a generalized topological 3D gravity with torsion

Details Rotating black hole solution in a generalized topological 3D gravity with torsion Rotating black hole solution in a generalized topological 3D gravity with torsion

Nov 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..68j4026m&link_type=abstract

Physical Review D, vol. 68, Issue 10, id. 104026

Mathematics

Logic

14

Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Classical Black Holes

Scientific paper

A first order version of topological massive gravity is achieved by liberating its translational gauge degrees of freedom. In three dimensions, our Lagrangian consists of Chern-Simons (CS) terms for curvature and torsion inducing an effective cosmological constant dynamically, whereas a “mixed” CS term is substituting for the topological related Einstein-Cartan action. Anti de Sitter and rotating black hole configurations are exact vacuum solutions. They also apply to a large class of Yang-Mills-type generalizations including “exotic” terms exclusively permitted in 3D. The reason for this can be partially traced back to a new strong/weak duality of the translational and rotational dynamical degrees of freedom.

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