On Black Hole Entropy Corrections in the Grand Canonical Ensemble
Subhash Mahapatra, Prabwal Phukon, Tapobrata Sarkar
TL;DR
This paper investigates how thermal fluctuations affect the entropy of asymptotically AdS black holes in the grand canonical ensemble, revealing universal logarithmic corrections across different dimensions.
Contribution
It provides a unified analysis of entropy corrections due to thermal, mass, and charge fluctuations, highlighting universality in logarithmic corrections for charged AdS black holes.
Findings
Entropy corrections are expressed via black hole response coefficients.
Logarithmic corrections are universal across various dimensions.
Mass and charge fluctuations significantly influence entropy corrections.
Abstract
We study entropy corrections due to thermal fluctuations for asymptotically AdS black holes in the grand canonical ensemble. To leading order, these can be expressed in terms of the black hole response coefficients via fluctuation moments. We also analyze entropy corrections due to mass and charge fluctuations of R-charged black holes, and our results indicate an universality in the logarithmic corrections to charged AdS black hole entropy in various dimensions.
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