2016/03/31 by Shinpei Kobayashi
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Binary black hole #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Geometry #Horizon #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Physics #Quantum mechanics #Schwarzschild radius #Spacetime #White hole #gr-qc #hep-th
paper · pdf · doi:10.1142/s0217751x16500809
published as Int. J. Mod. Phys. A31 (2016) 1650080 · 27 pages, 9 figures, v2: typos corrected
arxiv created 2016/05/16 · arxiv updated 2016/05/17 · openalex publication_date 2016/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 space–time dimensions, and the existence of a void in the vicinity of the center of the space–time 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.