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.

Typos corrected, Accepted in PRD

References in corpus (6)

• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Quantum Cooling Evaporation Process in Regular Black Holes
• Thermodynamic similarity between the noncommutative Schwarzschild black hole and the Reissner-Nordström black hole
• 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

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• A noncommutative approach to the cosmological constant problem
• Holographic thermalization in noncommutative geometry
• Noncommutative Geometry Inspired Entropic Inflation
• Scalar field quasinormal modes of noncommutative high dimensional Schwarzschild-Tangherlini black hole spacetime with smeared matter sources
• Quantum Field, Thermodynamics and Black Hole on Coherent State Representation of Fuzzy Space
• Absorption and scattering of a high dimensional noncommutative black hole