Rényi Law Constraints on Gauß-Bonnet Black Hole Merger
Neeraj Kumar, Ankur Srivastav, Phongpichit Channuie
Published: 2025/9/10
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.