Lee-Wald charge and asymptotic behaviors of the Weyl-invariant topologically massive gravity

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Dengiz S., KILIÇARSLAN E., Setare M. R.

Classical and Quantum Gravity, vol.37, no.21, 2020 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 21
  • Publication Date: 2020
  • Doi Number: 10.1088/1361-6382/abbc46
  • Journal Name: Classical and Quantum Gravity
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Keywords: asymptotic conserved charges, Lee-Wald covariant charges, Lee-Wald covariant phase space method, topologically massive gravity, Weyl gauge symmetry
  • Open Archive Collection: AVESIS Open Access Collection
  • Uşak University Affiliated: Yes

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.