Gravitational Chern-Simons terms and black hole entropy. Global aspects
L. Bonora, M. Cvitan, P. Dominis Prester, S. Pallua, I. Smolic
TL;DR
This paper investigates the topological and global gauge properties of gravitational Chern-Simons terms in black hole entropy, analyzing conditions for the formula's well-definedness and the impact of coupling quantization.
Contribution
It provides a detailed analysis of the topological conditions and coupling quantization affecting the validity of the black hole entropy formula involving gravitational Chern-Simons terms.
Findings
Coupling quantization can affect the well-definedness of the entropy formula.
Topological and geometrical conditions are crucial for the formula's validity.
Global properties of the Chern-Simons term influence black hole entropy calculations.
Abstract
We discuss the topological and global gauge properties of the formula for a black hole entropy due to a purely gravitational Chern-Simons term. We study under what topological and geometrical conditions this formula is well-defined. To this end we have to analyze the global properties of the Chern-Simons term itself and the quantization of its coupling. We show that in some cases the coupling quantization may interfere with the well-definiteness of the entropy formula.
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