Asymptotically flat black holes in 2+1 dimensions

Abstract

Asymptotically flat black holes in $2+1$ dimensions are a rarity. We study the recently found black flower solutions (asymptotically flat black holes with deformed horizons), static black holes, rotating black holes and the dynamical black flowers (black holes with radiative gravitons ) of the purely quadratic version of new massive gravity. We show how they appear in this theory and we also show that they are also solutions to the infinite order extended version of the new massive gravity, that is the Born-Infeld extension of new massive gravity with an amputated Einsteinian piece. The same metrics also solve the topologically extended versions of these theories, with modified conserved charges and the thermodynamical quantities, such as the Wald entropy. Besides these we find new conformally flat radiating type solutions to these extended gravity models. We also show that these metrics do not arise in Einstein's gravity coupled to physical perfect fluids.

11 pages, 1 figure, references added, almost matches the published version. We lost the good title "Black Flowers in Flatland"

References in corpus (16)

• Massive Gravity in Three Dimensions
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• Ghost-free, finite, fourth order D=3 (alas) gravity
• Born-Infeld extension of new massive gravity
• Minimal Massive 3D Gravity
• c-functions in the Born-Infeld extended New Massive Gravity
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• Static spherically symmetric solutions for conformal gravity in three dimensions
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• Type D Solutions of 3D New Massive Gravity
• Holography of 3D Asymptotically Flat Black Holes
• Bulk and Boundary Unitary Gravity in 3D: MMG${}_2$
• Conformally flat black holes in Poincaré gauge theory
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Cited by in corpus (12)

• Regular black holes in three dimensions
• Null Geodesics and Repulsive Behavior of Gravity in (2+1)-dimensional Massive Gravity
• Regular BTZ black holes from an infinite tower of corrections
• Event Horizon Detecting Invariants
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Black Flowers and Real Forms of Higher Spin Symmetries
• Field Sources for $f(R,R_{\mu \nu })$ Black-Bounce Solutions: The Case of K-Gravity
• Scalar field quasinormal modes on asymptotically locally flat rotating black holes in three dimensions
• Counting Black Hole Microstates at Future Null Infinity
• Charged BTZ-type solutions in Eddington-inspired Born-Infeld gravity
• Aspects of three-dimensional higher-curvature gravities
• A New Geometric Flow on 3-Manifolds: the $K$-Flow