Regular Black Holes and Noncommutative Geometry Inspired Fuzzy Sources
arXiv:1603.09248 · doi:10.1142/S0217751X16500809
Abstract
We investigated regular black holes with fuzzy sources in three and four dimensions. The density distributions of such fuzzy sources are inspired by noncommutative geometry and given by Gaussian or generalized Gaussian functions. We utilized mass functions to give a physical interpretation of the horizon formation condition for the black holes. In particular, we investigated three-dimensional BTZ-like black holes and four-dimensional Schwarzschild-like black holes in detail, and found that the number of horizons is related to the spacetime dimensions, and the existence of a void in the vicinity of the center of the spacetime is significant, rather than noncommutativity. As an application, we considered a three-dimensional black hole with the fuzzy disc which is a disc-shaped region known in the context of noncommutative geometry as a source. We also analyzed a four-dimensional black hole with a source whose density distribution is an extension of the fuzzy disc, and investigated the horizon formation condition for it.
27 pages, 9 figures, v2: typos corrected
References in corpus (10)
- A Gravity Theory on Noncommutative Spaces
- Noncommutative geometry inspired charged black holes
- Non-commutative geometry inspired higher-dimensional charged, black holes
- Charged rotating noncommutative black holes
- BTZ black holes inspired by noncommutative geometry
- Regular black hole in three dimensions
- Smeared Hairs and Black Holes in Three-Dimensional de Sitter Spacetime
- A General Class of Regular Black Holes based on a Smeared Mass Distribution
- Noncommutative geometry inspired 3-dimensional charged black hole solution in an anti-de Sitter background space-time
- Angles in Fuzzy Disc and Angular Noncommutative Solitons