Background-independent charges in Topologically Massive Gravity

Abstract

We construct background-independent Noether charges in Topologically Massive Gravity with negative cosmological constant using its first-order formulation. The procedure is carried out by keeping track of the surface terms in the variation of the action, regardless the value of the gravitational Chern-Simons coupling $\mu$. In particular, this method provides a definition of conserved quantities for solutions at the chiral point $\mu l=1$ ($l$ is the AdS radius) that contain logarithmic terms (Log Gravity). It is also shown that the charge formula gives a finite result for warped AdS black holes without the need for any background-substraction procedure.

23 pages; appendix and a few references added; final version for JHEP

Cited by in corpus (32)

• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
• Dynamical structure of Pure Lovelock gravity
• On complexity growth in massive gravity theories, the effects of chirality and more
• Mass and Angular momentum of Black Holes in New Massive Gravity
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Gravitational Chern-Simons Lagrangians and black hole entropy
• String Theory on Warped AdS_3 and Virasoro Resonances
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
• Conserved Charges in Extended Theories of Gravity
• Self-Dual Warped AdS${}_3$ Black Holes
• Black hole conserved charges in Generalized Minimal Massive Gravity
• Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Gravitational Chern-Simons Lagrangian terms and spherically symmetric spacetimes
• Minimal Log Gravity
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Warped-AdS3 black holes with scalar halo
• Conserved current for the Cotton tensor, black hole entropy and equivariant Pontryagin forms
• Gravity duals for logarithmic conformal field theories
• Covariant Noether Charge for Higher Dimensional Chern-Simons Terms
• On the addition of torsion to chiral gravity
• Conserved charges in 3D gravity
• Entropy for gravitational Chern-Simons terms by squashed cone method
• On the Faddeev-Jackiw Symplectic Framework for Topologically Massive Gravity
• The Brown-York mass of black holes in Warped Anti-de Sitter space
• Thermodynamic Stability of Warped AdS3 Black Holes
• Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
• Gravitational Chern-Simons terms and black hole entropy. Global aspects
• Exact solutions in 3D gravity with torsion
• Asymptotic Chern-Simons formulation of spacelike stretched AdS gravity
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory