Revisiting Thermodynamics of the Hayward Black Holes and Exploring Binary Merger Bounds

TL;DR

This paper reexamines the thermodynamics of Hayward black holes, introduces a new entropy formula with a logarithmic correction, and derives bounds on the final mass after black hole mergers.

Contribution

It presents a novel entropy formula with corrections and analyzes the impact of the Hayward parameter on black hole thermodynamics and merger bounds.

Findings

New entropy formula with logarithmic correction term

Bounds on final black hole mass post-merger derived from thermodynamics

Impact of Hayward parameter on thermal and merger properties

Abstract

In this article, we revisit the thermodynamics of Hayward black holes [1] in asymptotic flat spacetime and obtain the bounds on the final mass post merger after head-on collision event of two equal mass black holes. We revisit thermal properties of these black holes from a perspective that the laws of black hole thermodynamics remain valid. Under this condition a novel entropy formula appears naturally with a logarithmic correction term along with one extra term. We discuss phase structure of the black holes. Next, we obtain the bounds on the final black hole mass parameter using the validity of the second law of black hole thermodynamics with the new entropy formula. We discuss the impact of the Hayward parameter on thermal and merger properties of these black holes.