Kerr-Bolt Black Hole Entropy and Soft Hair

Abstract

Recently it has been speculated that a set of infinitesimal $\mathrm{Virasor}{\mathrm{o}}_{\mathrm{L}}\otimes \mathrm{Virasor}{\mathrm{o}}_{\mathrm{R}}$ 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 $c_R=c_L=12J$ respectively. Our results also show good agreement with Kerr spacetime in the limiting behavior.

11 pages

References in corpus (3)

• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
• Kerr-Newman Black Hole Entropy and Soft Hair