Non-commutative geometry inspired charged black holes

2006/12/06 by Stefano Ansoldi, Piero Nicolini, Anais Smailagic +1 · 20 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Differential geometry #Geometry #Mathematical physics #Mathematics #Naked singularity #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Singularity #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.12.020

published as Phys.Lett.B645:261-266,2007 · 14 pages, 9 figure, LaTeX

arxiv created 2006/12/06 · openalex publication_date 2007/01/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We find a new, non-commutative geometry inspired, solution of the coupled Einstein-Maxwell field equations describing a variety of charged, self-gravitating objects, including extremal and non-extremal black holes. The metric smoothly interpolates between deSitter geometry, at short distance, and Reissner-Nordstroem geometry far away from the origin. Contrary to the ordinary Reissner-Nordstroem spacetime there is no curvature singularity in the origin neither "naked" nor shielded by horizons. We investigate both the Hawking process and pair creation in this new scenario.

Citations

• UV divergence-free QFT on noncommutative plane
• Black-hole evaporation in the Klein-Sauter-Heisenberg-Euler formalism
• Dynamics of false-vacuum bubbles
• Noncommutative geometry inspired Schwarzschild black hole
• Trace anomaly on a quantum spacetime manifold
• Vacuum polarization and the spontaneous loss of charge by black holes

Cited by

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• Noncommutative geometry inspired black holes in Rastall gravity
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• Neutrino oscillations as a novel probe for a minimal length
• Shadow cast of noncommutative black holes in Rastall gravity
• Regular black holes and noncommutative geometry inspired fuzzy sources
• Singularities of noncompact charged objects
• Voros product, noncommutative Schwarzschild black hole and corrected area law
• Non-commutative effects on gravitational measurements
• Aspects of noncommutative (1+1)-dimensional black holes
• Thermodynamics of the Schwarzschild-AdS Black Hole with a Minimal Length
• Quasinormal modes for non-minimally coupled scalar fields in regular black hole spacetimes: Grey-body factors, area spectrum and shadow radius
• NON-COMMUTATIVE KERR BLACK HOLE
• Large extra dimensions and small black holes at the LHC
• Nonsingular black holes and nonsingular universes in the regularized Lovelock gravity
• Orbits of particles in noncommutative Schwarzschild spacetime