Near horizon symmetry and entropy formula for Kerr-Newman (A)dS black holes

• Main Authors: Mohammad Reza Setare, Hamed Adami
• Format: Article
• Language: English
• Published: SpringerOpen 2018-04-01
• Series: Journal of High Energy Physics
• Subjects: Black Holes; Gauge Symmetry; Global Symmetries; Space-Time Symmetries
• Online Access: http://link.springer.com/article/10.1007/JHEP04(2018)133

Abstract In this paper we provide the first non-trivial evidence for universality of the entropy formula 4πJ 0+ J 0− beyond pure Einstein gravity in 4-dimensions. We consider the Einstein-Maxwell theory in the presence of cosmological constant, then write near horizon metric of the Kerr-Newman (A)dS black hole in the Gaussian null coordinate system. We consider near horizon fall-off conditions for metric and U(1) gauge field. We find asymptotic combined symmetry generator, consists of diffeomorphism and U(1) gauge transformation, so that it preserves fall-off conditions. Consequently, we find supertranslation, supperrotation and multiple-charge modes and then we show that the entropy formula is held for the Kerr-Newman (A)dS black hole. Supperrotation modes suffer from a problem. By introducing new combined symmetry generator, we cure that problem.