Construction of regular black holes in general relativity

2016/10/31 by Zhong-Ying Fan, Xiaobao Wang · 426 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Black hole thermodynamics #Charged black hole #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Extremal black hole #General relativity #Gravitation #Gravitational collapse #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonsingular black hole models #Physics #Quantum mechanics #Schwarzschild radius #Singularity #Space (punctuation) #Spacetime #Theoretical physics #Theory of relativity #White hole #de Sitter–Schwarzschild metric #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.94.124027

published in Physical review. D/Physical review. D. 94(12) (American Physical Society) · 18 pages,1 figure;minor corrections, references added,published version

openalex publication_date 2016/12/20 · arxiv created 2016/12/25 · arxiv updated 2016/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in general relativity coupled to a nonlinear electrodynamics. We obtain a variety of two-parameter family spherically symmetric black hole solutions. In particular, the singularity at the center of the space-time can be canceled in the parameter space and the black hole solutions become regular everywhere in space-time. We study the global properties of the solutions and derive the first law of thermodynamics. We also generalize the procedure to include a cosmological constant and construct regular black hole solutions that are asymptotic to anti--de Sitter space-time.

Citations

• Magnetically charged regular black hole in a model of nonlinear electrodynamics
• The Large Scale Structure of Space-Time
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole enthalpy and an entropy inequality for the thermodynamic volume
• Open and closed universes, initial singularities, and inflation
• Four-parametric regular black hole solution
• New regular black hole solution from nonlinear electrodynamics
• Asymptotically anti-de Sitter spacetimes: conserved quantities

Cited by

• Formation of extremal regular black holes
• Black bounces to traversable wormholes from pure gravity in four and higher dimensions
• Quasibound states of a charged Dirac field around regular black holes
• Connections between entropy surface density and microscopic property in black holes
• Mass parameter and the bounds on redshifts and blueshifts of photons emitted from geodesic particle orbiting in the vicinity of regular black holes
• Regular black holes in three dimensions
• Charged Penrose Extraction in RN--AdS Black Holes with Dark Energy: Ergosphere Geometry and Rigorous Efficiency Bounds
• Horizons, throats and bounces in hybrid metric-Palatini gravity with a non-zero potential
• Regular Black Hole Models in the Transition from Baryonic Matter to Quark Matter
• A note on nonlinear electrodynamics

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