BTZ black holes inspired by noncommutative geometry

Abstract

In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is constructed from an exact solution of the Einstein field equations in a (2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative geometry. The BTZ black hole turns out to have two horizons, no horizon or a single horizon corresponding to a minimal mass. Certain thermodynamical properties are investigated, including Hawking temperature, entropy and heat capacity. Also discussed is the geodesic structure of BTZ black holes for both massless and massive particles. In particular, it is shown that bound orbits for test particles are possible.

8 pages, 10 figures, Minor changes in the text, Accepted in Physical Review D

References in corpus (9)

• Non-commutative geometry inspired higher-dimensional charged, black holes
• Searching for higher dimensional wormholes with noncommutative geometry
• Self-sustained traversable wormholes in noncommutative geometry
• Towards Noncommutative Quantum Black Holes
• The (2+1)-dimensional charged gravastars
• Regular black hole in three dimensions
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• On the stability of thin-shell wormholes in noncommutative geometry
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes

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