A new entropy formula with logarithmic correction for Hayward black holes yields bounds on the mass of the black hole formed by merging two equal-mass Hayward black holes via the second law.
R\'enyi Law Constraints on Gau{\ss}-Bonnet Black Hole Merger
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abstract
In this article, we explore the R\'enyi law constraints on black hole merger in Gau{\ss}-Bonnet (GB) gravity. Specifically, we consider the case of static solutions in five-dimensional (5D) Anti-de-Sitter (AdS) spacetime and study the constraints on merger of two equal mass black holes. We calculate the general R\'enyi entropy expression and utilize it to study the bounds on the final black hole mass post-merger. We study its variation with the R\'enyi parameter. We also compare the results with those for black holes in General Relativity (GR). We find that the GB term has a significant impact on the bounds for black hole merger. The bounds for GB gravity become weaker for the zeroth order R\'enyi entropy and stronger for higher order R\'enyi entropies in comparison to GR.
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gr-qc 2verdicts
UNVERDICTED 2representative citing papers
SV-regularized AdS black holes show parameter-dependent phase transitions and non-monotonic post-merger mass bounds that rise then fall sharply.
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Revisiting Thermodynamics of the Hayward Black Holes and Exploring Binary Merger Bounds
A new entropy formula with logarithmic correction for Hayward black holes yields bounds on the mass of the black hole formed by merging two equal-mass Hayward black holes via the second law.
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Simpson-Visser-AdS Black Holes: Thermodynamics and Binary Merger
SV-regularized AdS black holes show parameter-dependent phase transitions and non-monotonic post-merger mass bounds that rise then fall sharply.