Dynamical Black Hole Entropy in Effective Field Theory

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• Iain Davies, University of Cambridge
• Friday 27 January 2023, 13:00-14:00
• Potter room/Zoom.

If you have a question about this talk, please contact Isobel Romero-Shaw.

In standard 2-derivative GR coupled to matter obeying the Null Energy condition, the Bekenstein-Hawking definition of the entropy of a black hole can be proved to satisfy a Second Law of Black Hole Mechanics. However, if we consider higher derivative theories of gravity this no longer necessarily holds. In recent work, Hollands, Kovács and Reall have built on previous work of Wall to provide a definition of dynamical black hole entropy for gravitational effective field theories (EFTs). This entropy satisfies a Second Law to quadratic order in perturbations around a stationary black hole. In this talk I will present the construction of the entropy, some explicit calculations for particular theories including Einstein-Gauss-Bonnet that I have performed, and the problem of gauge invariance for this definition. The talk is based off the recent paper arxiv.org/abs/2212.09777.

This talk is part of the DAMTP Friday GR Seminar series.

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