Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime

Abstract

It is known that there is no three-dimensional analog of de Sitter black holes. I show that the analog does exist when non-Gaussian (i.e., ring-type) smearings of point matter hairs are considered. This provides a new way of constructing black hole solutions from hairs. I find that the obtained black hole solutions are quite different from the usual large black holes in that there are i) large to small black hole transitions which may be considered as inverse Hawking-Page transitions and ii) soliton-like (i.e., non-perturbative) behaviors. For Gaussian smearing, there is no black hole but a gravastar solution exists.

arXiv commentTypos corrected, Accepted in PRD

References in corpus (20)

• Large N Field Theories, String Theory and Gravity
• The Black Hole in Three Dimensional Space Time
• Charged AdS Black Holes and Catastrophic Holography
• The dS/CFT Correspondence
• Noncommutative geometry inspired Schwarzschild black hole
• Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review
• Noncommutative Solitons
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Conformal Vacua and Entropy in de Sitter Space
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Statistical Entropy of Three-dimensional Kerr-De Sitter Space
• Critical Behavior in the Rotating D-branes
• Dynamic and Thermodynamic Stability and Negative Modes in Schwarzschild-Anti-de Sitter
• Thermodynamics and evaporation of the noncommutative black hole
• Quantum Cooling Evaporation Process in Regular Black Holes
• Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole
• Smeared BTZ Black Hole from Space Noncommutativity
• Entropy Function and Universality of Entropy-Area Relation for Small Black Holes
• Holography in Three-dimensional Kerr-de Sitter Space with a Gravitational Chern-Simons Term
• Vulcanized Vortex

Cited by in corpus (22)

• Charged rotating noncommutative black holes
• Entropic force, noncommutative gravity and ungravity
• Cosmological production of noncommutative black holes
• Strong gravitational lensing in a noncommutative black-hole spacetime
• A noncommutative approach to the cosmological constant problem
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Probing spacetime noncommutative constant via charged astrophysical black hole lensing
• Tunneling of massive and charged particles from noncommutative Reissner-Nordström black hole
• Holographic thermalization in noncommutative geometry
• Phase transition and entropy inequality of noncommutative black holes in a new extended phase space
• Noncommutative Geometry Inspired Entropic Inflation
• Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions
• Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources
• A General Class of Regular Black Holes based on a Smeared Mass Distribution
• Complete Classification of Four-Dimensional Black Hole and Membrane Solutions in IR-modified Hořava Gravity
• Regular Black Holes and Noncommutative Geometry Inspired Fuzzy Sources
• Area spectrum of Schwarzschild black hole inspired by noncommutative geometry
• Thermodynamics of Non-Commutative Scalar-Tensor-Vector Gravity Black holes
• Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space
• Regularization ambiguity and van der Waals black hole in 2+1 dimensions
• Absorption and scattering of a high dimensional noncommutative black hole
• Rotating Black Holes in Three-Dimensional Horava Gravity Revisited