Horizon Fluffs: In the Context of Generalized Minimal Massive Gravity

Abstract

We consider a metric which describes Ba$\tilde{\text{n}}$ados geometries and show that the considered metric is a solution of generalized minimal massive gravity (GMMG) model. We consider the Killing vector field which preserves the form of considered metric. Using the off-shell quasi-local approach we obtain the asymptotic conserved charges of given solution. Similar to the Einstein gravity in the presence of negative cosmological constant, for the GMMG model also, we show that the algebra among the asymptotic conserved charges is isomorphic to two copies of the Virasoro algebra. Eventually, we find relation between the algebra of the near horizon and the asymptotic conserved charges. This relation show that the main part of the horizon fluffs proposal of Refs.\cite{140,14} appear for generic black holes in the class of Ba$\tilde{\text{n}}$ados geometries in the context of GMMG model.

arXiv comment12 pages. arXiv admin note: text overlap with arXiv:1606.05260

References in corpus (4)

• Black Hole Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Three Dimensional Black Holes
• Horizon Fluffs: Near Horizon Soft Hairs as Microstates of Generic AdS3 Black Holes
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Conserved Charges of Minimal Massive Gravity Coupled to Scalar Field

Cited by in corpus (3)

• Soft hairy horizons in three spacetime dimensions
• Near-horizon BMS symmetries as fluid symmetries
• Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity