Stationary rotating black holes in theories with gravitational Chern-Simons Lagrangian term

Abstract

We study the effects of introducing purely gravitational Chern-Simons Lagrangian terms in ordinary Einstein gravity on stationary rotating black hole solutions and on the associated thermodynamical properties, in a generic number of dimensions which support these terms (i.e. in D = 4k-1). We analyze the conditions, namely the number of vanishing angular momenta, under which the contributions of the Chern-Simons term to the equations of motion and the black hole entropy vanish. The particular case of a 7-dimensional theory in which a purely gravitational Chern-Simons term is added to the Einstein-Hilbert Lagrangian in D=7 dimensions is investigated in some detail. As we have not been able to find exact analytic solutions in nontrivial cases, we turn to perturbation theory and calculate the first-order perturbative correction to the Myers-Perry metric in the case where all angular momenta are equal. The expansion parameter is a dimensionless combination linear in the Chern-Simons coupling constant and the angular momentum. Corrections to horizon and ergosurface properties, as well as black hole entropy and temperature, are presented.

27 pages. Some general improvements, with main results unchanged. Clarification of statements on mass and angular momenta. Version accepted for publishing in Phys. Rev. D

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• Three-Dimensional Gravity Revisited
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• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Symmetries and gravitational Chern-Simons Lagrangian terms

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• Symmetries and gravitational Chern-Simons Lagrangian terms
• Parity-odd surface anomalies and correlation functions on conical defects