Near Horizon Symmetry and Entropy Formula for Kerr-Newman (A)dS Black Holes

Abstract

In this paper we provide the first non-trivial evidence for universality of the entropy formula $4\pi J_0^{+}{J}_0^{-}$ 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.

arXiv comment16 pages. Version published in JHEP

References in corpus (18)

• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Soft Hair on Black Holes
• Aspects of the BMS/CFT correspondence
• Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited
• BMS charge algebra
• Superrotation Charge and Supertranslation Hair on Black Holes
• Supertranslations and Superrotations at the Black Hole Horizon
• Extended Symmetries at the Black Hole Horizon
• The First Law of Black Hole Mechanics for Fields with Internal Gauge Freedom
• On the Generalized Minimal Massive Gravity
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Conserved Charges and First Law of Thermodynamics for Kerr-de Sitter Black Holes
• Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity
• Soft hairy warped black hole entropy
• Quasi-local conserved charges in the Einstein-Maxwell theory
• New entropy formula for Kerr black holes

Cited by in corpus (6)

• Black Hole Entropy and Soft Hair
• Carrollian Motion in Magnetized Black Hole Horizons
• Symmetries near a generic charged null surface and associated algebra: an off-shell analysis
• Lee-Wald Charge and Asymptotic Behaviors of the Weyl-invariant Topologically Massive Gravity
• Entropy formula in Einstein-Maxwell-Dilaton theory and its validity for black strings
• Surface charge of horizon symmetries of a black hole with supertranslation field