Regular black holes in three dimensions

Abstract

We find a plethora of new analytic black holes and globally regular horizonless spacetimes in three dimensions. The solutions involve a single real scalar field $\varphi$ which always admits a magnetic-like expression proportional to the angular coordinate. The new metrics, which satisfy $g_{tt}{g}_{rr}=-1$ and represent continuous generalizations of the BTZ one, solve the equations of Einstein gravity corrected by a new family of densities (controlled by unconstrained couplings) constructed from positive powers of $(\partial \varphi {)}^2$ and certain linear combinations of $R^{ab}{\partial }_a\varphi {\partial }_b\varphi$ and $(\partial \varphi {)}^{2}R$. Some of the solutions obtained describe black holes with one or several horizons. A set of them possesses curvature singularities, while others have conical or BTZ-like ones. Interestingly, in some cases the black holes have no singularity at all, being completely regular. Some of the latter are achieved without any kind of fine tuning or constraint between the action parameters and/or the physical charges of the solution. An additional class of solutions describes globally regular and horizonless geometries.

arXiv comment11 pages, 2 figures

References in corpus (100)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Formation and evaporation of non-singular black holes
• Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Massive Gravity in Three Dimensions
• Towards singularity and ghost free theories of gravity
• New Regular Black Hole Solution from Nonlinear Electrodynamics
• Construction of Regular Black Holes in General Relativity
• Notes on non-singular models of black holes
• Black-bounce to traversable wormhole
• Non-Singular Charged Black Hole Solution for Non-Linear Source
• More on Massive 3D Gravity
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Black Holes in Quasi-topological Gravity
• Regular Black Holes and Topology Change
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Black holes and asymptotics of 2+1 gravity coupled to a scalar field
• Einsteinian cubic gravity
• Lifshitz Black Hole in Three Dimensions
• Information loss problem and a `black hole' model with a closed apparent horizon
• On the viability of regular black holes
• Static Charged Black Holes in $(2+1)$ Dimensional Dilaton Gravity
• Conformally dressed black hole in 2+1 dimensions
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Regular black holes with asymptotically Minkowski cores
• On the new massive gravity and AdS/CFT
• Classical properties of non-local, ghost- and singularity-free gravity
• Warped AdS_3 black holes in new massive gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• When is g_{tt} g_{rr} = -1?
• Nonsingular Black Hole
• Born-Infeld extension of new massive gravity
• Three Dimensional Black Hole Coupled to the Born-Infeld Electrodynamics
• Generalized quasi-topological gravity
• Black holes in Einsteinian cubic gravity
• Regular (2+1)-dimensional black holes within non-linear Electrodynamics
• Black Holes in (Quartic) Quasitopological Gravity
• Robinson-Trautman spacetimes in higher dimensions
• Nonsingular Black Holes in $f(R)$ Theories
• (Generalized) quasi-topological gravities at all orders
• Reissner-Nordström black holes in extended Palatini theories
• Dilatonic BTZ black holes with power-law field
• Quintic quasi-topological gravity
• Magnetic Solutions to 2+1 Gravity
• On black holes in higher-derivative gravities
• Quintessential Quartic Quasi-topological Quartet
• New massive gravity, extended
• The electrically charged BTZ black hole with self(anti-self) dual Maxwell field
• Rotating magnetic solution in three dimensional Einstein gravity
• Regular nonminimal magnetic black holes in spacetimes with a cosmological constant
• All higher-curvature gravities as Generalized quasi-topological gravities
• Static Einstein-Maxwell Solutions in 2+1 dimensions
• Non-minimal coupling for the gravitational and electromagnetic fields: black hole solutions and solitons
• Non-singular metric for an electrically charged point-source in ghost-free infinite derivative gravity
• Lower-dimensional Gauss-Bonnet Gravity and BTZ Black Holes
• BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• Universal black hole stability in four dimensions
• Regular black holes via the Kerr-Schild construction in DHOST theories
• Vacua and Exact Solutions in Lower-$D$ Limits of EGB
• Azimuthal electric field in a static rotationally symmetric (2+1)-dimensional spacetime
• Regular Stringy Black Holes?
• AdS Black Hole Solutions in the Extended New Massive Gravity
• Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
• Quasitopological electromagnetism and black holes
• $(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources
• On Magnetic solution to 2+1 Einstein--Maxwell gravity
• Electromagnetic Quasitopological Gravities
• Hairy black hole entropy and the role of solitons in three dimensions
• Novel rotating hairy black hole in (2+1)-dimensions
• Rotating Gauss-Bonnet BTZ Black Holes
• BLACK HOLES IN THREE-DIMENSIONAL DILATON GRAVITY THEORIES
• 2+1 dimensional magnetically charged solutions in Einstein - Power - Maxwell theory
• Weak-field limit and regular solutions in polynomial higher-derivative gravities
• Bounce Universe and Black Holes from Critical Einsteinian Cubic Gravity
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Criticality for charged black branes
• Einstein-Born-Infeld black holes with a scalar hair in three-dimensions
• Asymptotically locally flat spacetimes and dynamical black flowers in three dimensions
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Non-singular vortices with positive mass in 2+1 dimensional Einstein gravity with AdS${}_3$ and Minkowski background
• Regular black holes and gravitational particle-like solutions in generic DHOST theories
• Regular Black Hole Solutions of the Non-minimally Coupled $Y(R)F^2$ Gravity
• Magnetic solutions to 2+1 dimensional gravity with dilaton field
• Static and rotating electrically charged black holes in three-dimensional Brans-Dicke gravity theories
• Regular charged black hole construction in 2+1 -dimensions
• Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity
• Holography of 3D Asymptotically Flat Black Holes
• Thermodynamics and Cardy-like formula for nonminimally dressed, charged Lifshitz black holes in New Massive Gravity
• Spinning black holes for generalized scalar tensor theories in three dimensions
• General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to Gravity
• Topological Born-Infeld charged black holes in Einsteinian cubic gravity
• Asymptotically flat black holes in 2+1 dimensions
• T-Duality and Spinning Solutions in 2 + 1 Gravity
• Spinning Charged Solutions in 2+1 Dimensional Einstein-Maxwell-Dilaton Gravity
• Universal Black Holes
• Event Horizon Detecting Invariants
• Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
• Non-Einsteinian Black Holes in Generic 3D Gravity Theories

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• Generalized quasi-topological gravities: the whole shebang
• Superradiant instability and charged scalar quasinormal modes for $2+1$-dimensional Coulomb-like AdS black holes from nonlinear electrodynamics
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• On the classification of Generalized Quasitopological Gravities
• Analytic three-dimensional primary hair charged black holes and thermodynamics
• Lifetime of scalar cloud formation around a rotating regular black hole
• Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
• Regular Compact Objects with Scalar Hair
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Quasitopological electromagnetism: Reissner-Nordström black strings in Einstein and Lovelock gravities
• $2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling
• Higher-derivative holography with a chemical potential
• A universal feature of charged entanglement entropy
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Regular BTZ black holes from an infinite tower of corrections
• Rotating $(2+1)$-dimensional Black Holes in Einstein-Maxwell-Dilaton Theory
• A new class of regular black hole solutions with quasi-localized sources of matter in $(2+1)$ dimensions
• Holographic explorations of regular black holes in pure gravity
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• New black hole solutions in three-dimensional $f(R)$ gravity
• Gravity coupled to a scalar field from a Chern-Simons action: describing rotating hairy black holes and solitons with gauge fields
• On regular charged black holes in three dimensions
• Quasinormal modes of charged BTZ black holes
• Aspects of regular and singular electromagnetic-generalized-quasitopological-gravities black holes in (2+1) dimensions
• Regular black hole solutions in $(2+1)$-dimensional $f(R,T)$ gravity coupled to nonlinear electrodynamics
• Nonsingular, lump-like, scalar compact objects in $(2+1)$-dimensional Einstein gravity
• Aspects of three-dimensional higher-curvature gravities
• Charged BTZ-type solutions in Eddington-inspired Born-Infeld gravity
• Ergodic Concepts for a Self-Organizing Trivalent Spin Network: A Path to $(2+1)$-dimensional Black Hole Entropy