Black Hole Entropy in the presence of Chern-Simons Terms
Yuji Tachikawa
TL;DR
This paper derives a formula for black hole entropy in theories with gravitational Chern-Simons terms, extending Wald's Noether charge method, and confirms it reproduces known results for three-dimensional black holes.
Contribution
It generalizes Wald's entropy formula to include gravitational Chern-Simons terms, providing a direct derivation applicable to a broader class of theories.
Findings
Successfully reproduces known three-dimensional black hole entropy with Chern-Simons terms
Provides a generalized entropy formula for theories with gravitational Chern-Simons terms
Validates the approach through comparison with previous indirect methods
Abstract
We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald's argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the presence of Chern-Simons term, which was previously obtained via indirect methods.
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