Symmetries and gravitational Chern-Simons Lagrangian terms

Abstract

We consider some general consequences of adding pure gravitational Chern-Simons term to manifestly diff-covariant theories of gravity. Extending the result of a previous paper we enlarge the class of metrics for which the inclusion of a gCS term in the action does not affect solutions and corresponding physical quantities. In the case in which such solutions describe black holes (of general horizon topology) we show that the black hole entropy is also unchanged. We arrive at these conclusions by proving three general theorems and studying their consequences. One of the theorems states that the contribution of the gravitational Chern-Simons to the black hole entropy is invariant under local rescaling of the metric.

10 pages

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• Stationary rotating black holes in theories with gravitational Chern-Simons Lagrangian term
• Generalizations and challenges for the spacetime block-diagonalization
• Weighing the curvature invariants
• Parity-odd surface anomalies and correlation functions on conical defects
• Symmetry Inheritance and Jebsen-Birkhoff Theorem