Lee-Wald Charge and Asymptotic Behaviors of the Weyl-invariant Topologically Massive Gravity

Abstract

We apply the Lee-Wald covariant phase space method to the Weyl-invariant Topologically Massive Gravity and compute the corresponding on-shell conserved charges. By using appropriate decay conditions for the existing propagating modes in the near-horizon of a stationary black hole, we obtain the charges generating the asymptotic symmetries. We show that the charges are integrable and the (modified) algebras among the asymptotic generators are closed for the certain choice of central extensions.

16 pages, version published in CQG

References in corpus (5)

• Black Hole Entropy in the presence of Chern-Simons Terms
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• Weyl-Invariant Higher Curvature Gravity Theories in n Dimensions
• Covariant Symplectic Structure and Conserved Charges of Topologically Massive Gravity
• Weyl-gauging of Topologically Massive Gravity

Cited by in corpus (3)

• New Chiral Generalized Minimal Massive Gravity
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• The Weyl Geometric Gravity black hole in light of the Solar System tests