Enhanced asymptotic $BM{S}_3$ algebra of the flat spacetime solutions of generalized minimal massive gravity

Abstract

We apply the new fall of conditions presented in the paper \cite{10} on asymptotically flat spacetime solutions of Chern-Simons-like theories of gravity. We show that the considered fall of conditions asymptotically solve equations of motion of generalized minimal massive gravity. We demonstrate that there exist two type of solutions, one of those is trivial and the others are non-trivial. By looking at non-trivial solutions, for asymptotically flat spacetimes in the generalized minimal massive gravity, in contrast to Einstein gravity, cosmological parameter can be non-zero. We obtain the conserved charges of the asymptotically flat spacetimes in generalized minimal massive gravity, and by introducing Fourier modes we show that the asymptotic symmetry algebra is a semidirect product of a $BM{S}_3$ algebra and two $U(1)$ current algebras. Also we verify that the $BM{S}_3$ algebra can be obtained by a contraction of the AdS${}_3$ asymptotic symmetry algebra when the AdS${}_3$ radius tends to infinity in the flat-space limit. Finally we find energy, angular momentum and entropy for a particular case and deduce that these quantities satisfy the first law of flat space cosmologies.

16 pages. arXiv admin note: text overlap with arXiv:1701.00209

References in corpus (4)

• Massive Gravity in Three Dimensions
• Flat-Space Chiral Gravity
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• Horizon Fluffs: In the Context of Generalized Minimal Massive Gravity

Cited by in corpus (10)

• The Holographic Nature of Null Infinity
• Asymptotic symmetries of three-dimensional Chern-Simons gravity for the Maxwell algebra
• Near-horizon BMS symmetries as fluid symmetries
• Three-dimensional Poincaré supergravity and $\mathcal{N}$-extended supersymmetric BMS${}_3$ algebra
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Holographic Entanglement Entropy in flat limit of the Generalized Minimal Massive Gravity model
• Hairy Black holes in General Minimal Massive Gravity