Quasilocal Conserved Charges with a Gravitational Chern-Simons Term

Abstract

We extend our recent work on the quasilocal formulation of conserved charges to a theory of gravity containing a gravitational Chern-Simons term. As an application of our formulation, we compute the off-shell potential and quasilocal conserved charges of some black holes in three-dimensional topologically massive gravity. Our formulation for conserved charges reproduces very effectively the well-known expressions on conserved charges and the entropy expression of black holes in the topologically massive gravity.

20 pages, minor changes, published version

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Cited by in corpus (36)

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• Chiral Massive News: Null Boundary Symmetries in Topologically Massive Gravity
• Conserved Charges in Extended Theories of Gravity
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Quasi-local conserved charges and holography
• Black hole conserved charges in Generalized Minimal Massive Gravity
• Black hole entropy in the Chern-Simons-like theories of gravity and Lorentz-diffeomorphism Noether charge
• Thermodynamics of static dyonic AdS black holes in the $\omega$-deformed Kaluza-Klein gauged supergravity theory
• The entropy formula of black holes in Minimal Massive Gravity and its application for BTZ black holes
• Off-shell Noether current and conserved charge in Horndeski theory
• Thermodynamic Volume and the Extended Smarr Relation
• Conserved charges of black holes in Weyl and Einstein-Gauss-Bonnet gravities
• On asymptotic charges in 3D gravity
• Lorentz-diffeomorphism Conserved Charges And Virasoro Algebra In Chern-Simons-Like Theories Of Gravity
• Scaling symmetry and scalar hairy rotating AdS_3 black holes
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity
• General formulas for conserved charges and black hole entropy in Chern-Simons-like theories of gravity
• Mass and angular momentum of black holes in low-energy heterotic string theory
• Frame-independent holographic conserved charges
• Holography without counter terms
• Quasi-local conserved charges in the Einstein-Maxwell theory
• Canonical energy and hairy AdS black holes
• Lee-Wald Charge and Asymptotic Behaviors of the Weyl-invariant Topologically Massive Gravity
• Asymptotically spacelike warped anti-de Sitter spacetimes in generalized minimal massive gravity
• 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
• Revisit to Thermodynamic Relations in the AdS/CMT Models
• Abbott-Deser-Tekin like conserved quantities in Lanczos-Lovelock gravity: beyond Killing diffeomorphisms
• Conserved charge of a gravity theory with $p$-form gauge fields and its property under Kaluza-Klein reduction
• Thermodynamics from field equations for black holes with multiple horizons
• Quasi-Local Conserved Charges of Spin-3 Topologically Massive Gravity
• Generalized ADT charges and asymptotic symmetry algebra
• Mass and angular momentum of black holes in 3D gravity theories with first order formalism
• Generalized Off-Shell ADT Conserved Charges in the Presence of Matter Chern-Simons Term
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity