Rényi Law Constraints on Gauß-Bonnet Black Hole Merger

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Hauptverfasser: Kumar, Neeraj, Srivastav, Ankur, Channuie, Phongpichit
Format: Preprint
Veröffentlicht: 2025
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author Kumar, Neeraj
Srivastav, Ankur
Channuie, Phongpichit
author_facet Kumar, Neeraj
Srivastav, Ankur
Channuie, Phongpichit
contents In this article, we explore the Rényi law constraints on black hole merger in Gauß-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 Rényi entropy expression and utilize it to study the bounds on the final black hole mass post-merger. We study its variation with the Rényi 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 Rényi entropy and stronger for higher order Rényi entropies in comparison to GR.
format Preprint
id arxiv_https___arxiv_org_abs_2509_08362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Rényi Law Constraints on Gauß-Bonnet Black Hole Merger
Kumar, Neeraj
Srivastav, Ankur
Channuie, Phongpichit
General Relativity and Quantum Cosmology
In this article, we explore the Rényi law constraints on black hole merger in Gauß-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 Rényi entropy expression and utilize it to study the bounds on the final black hole mass post-merger. We study its variation with the Rényi 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 Rényi entropy and stronger for higher order Rényi entropies in comparison to GR.
title Rényi Law Constraints on Gauß-Bonnet Black Hole Merger
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.08362