On Black Hole Entropy Corrections in the Grand Canonical Ensemble

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.

1 + 14 Pages, one eps figure

References in corpus (4)

• On the Thermodynamic Geometry and Critical Phenomena of AdS Black Holes
• Thermodynamic Geometry and Phase Transitions in Kerr-Newman-AdS Black Holes
• On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes
• Black hole entropy: quantum vs thermal fluctuations

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• Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy
• Logarithmic corrections to the entropy function of black holes in the open ensemble
• Topology of restricted phase space thermodynamics in Kerr-Sen-Ads black holes
• Revisiting thermodynamic topology of Hawking-Page and Davies type phase transitions
• Statistical ensembles and logarithmic corrections to black hole entropy
• Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations
• Brane Bounce from logarithmic entropic corrections in the bulk
• RPST-Inspired Formalism for Black Holes in Flat Spacetime