Kerr-Bolt Black Hole Entropy and Soft Hair

TL;DR

This paper investigates the Virasoro symmetry and associated conserved charges of Kerr-Bolt black holes, revealing that the central charges match those of Kerr black holes and exploring implications for black hole entropy and soft hair.

Contribution

It extends the analysis of Virasoro symmetries and conserved charges to Kerr-Bolt black holes using covariant phase space formalism, showing the central charges are equal to those of Kerr black holes.

Findings

Virasoro central charges are c_R=c_L=12 J.

Results agree with Kerr spacetime in the limiting case.

Conserved charges are obtained as surface integrals on the horizon.

Abstract

Recently it has been speculated that a set of infinitesimal ${\rm Virasoro_{\,L}}\otimes{\rm Virasoro_{\,R}}$ diffeomorphisms exist which act non-trivially on the horizon of some black holes such as kerr and Kerr-Newman black hole \cite{Haco:2018ske,Haco:2019ggi}. Using this symmetry in covariant phase space formalism one can obtains Virasoro charges as surface integrals on the horizon. Kerr-Bolt spacetime is well-known for its asymptotically topology and has been studied widely in recent years. In this work we are interested to find conserved charge associated to the Virosora symmetry of Kerr-Bolt geometry using covariant phase space formalism. We will show right and left central charge are $c_R=c_L=12 J$ respectively. Our results also show good agreement with Kerr spacetime in the limiting behavior.