Mass and Angular momentum of Black Holes in New Massive Gravity

Abstract

We obtain mass and angular momentum of black holes as conserved charges in three dimensional new massive gravity, after presenting the explicit expression for the potential of the conserved charges. This confirms the expression of those charges obtained in several ways, in particular through AdS/CFT correspondence, and shows us that the first law of black hole thermodynamics is valid in these black holes. We also comment about conserved charges in new type black holes with the emphasis on the AdS/CFT correspondence as guiding principle.

minor corrections, added conclusion, accepted in PRD

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• Aspects of Warped AdS${}_3$/CFT${}_2$ Correspondence
• Revisiting Conserved Charges in Higher Curvature Gravitational Theories
• On the thermodynamics of Lifshitz black holes
• Type D Solutions of 3D New Massive Gravity
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• Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity
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• Holographic Renormalization and Stress Tensors in New Massive Gravity
• Conserved quantities and Virasoro algebra in New massive gravity
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• Warped-AdS3 black holes with scalar halo
• Type N Spacetimes as Solutions of Extended New Massive Gravity
• Non-Fefferman-Graham asymptotics and holographic renormalization in New Massive Gravity
• Conserved charges in timelike Warped-AdS${}_3$ spaces
• Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity
• Stability of Horizon in Warped AdS Black Hole via Particle Absorption
• Extremal Black Holes and Holographic C-Theorem
• Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
• Warped $Ad{S}_3$ black hole in minimal massive gravity with first order formalism
• Conserved charge of a gravity theory with $p$-form gauge fields and its property under Kaluza-Klein reduction
• Evanescent gravitons in Warped Anti-de Sitter space
• Thermodynamics from field equations for black holes with multiple horizons
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field
• Mass and angular momentum of black holes in 3D gravity theories with first order formalism
• WAdS${}_3$/CFT${}_2$ correspondence in presence of bulk massive gravitons
• Holographic entropy of Warped-AdS${}_3$ black holes
• Generalized Off-Shell ADT Conserved Charges in the Presence of Matter Chern-Simons Term
• Some properties of the de Sitter black holes in three dimensional spacetime
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
• The mass of a Lifshitz black hole