Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions

Abstract

The theory of massive gravity proposed by Bergshoeff, Hohm and Townsend is considered in the special case of the pure irreducibly fourth order quadratic Lagrangian. It is shown that the asymptotically locally flat black holes of this theory can be consistently deformed to "black flowers" that are no longer spherically symmetric. Moreover, we construct radiating spacetimes settling down to these black flowers in the far future. The generic case can be shown to fit within a relaxed set of asymptotic conditions as compared to the ones of general relativity at null infinity, while the asymptotic symmetries remain the same. Conserved charges as surface integrals at null infinity are constructed following a covariant approach, and their algebra represents BMS${}_3$, but without central extensions. For solutions possessing an event horizon, we derive the first law of thermodynamics from these surface integrals.

14 pages, no figures

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Cited by in corpus (22)

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• Soft hairy horizons in three spacetime dimensions
• Higher Spin Black Holes with Soft Hair
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• Regular black holes in three dimensions
• Carroll black holes
• Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies
• The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern-Simons-like theories of gravity
• Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space
• More on the Classical Double Copy in Three Spacetime Dimensions
• Asymptotically flat black holes in 2+1 dimensions
• Conformally flat black holes in Poincaré gauge theory
• Null Geodesics and Repulsive Behavior of Gravity in (2+1)-dimensional Massive Gravity
• Black Hole Evaporation, Quantum Hair and Supertranslations
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Event Horizon Detecting Invariants
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• On regular charged black holes in three dimensions
• Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions
• Asymptotically flat black holes and gravitational waves in three-dimensional massive gravity
• A New Geometric Flow on 3-Manifolds: the $K$-Flow