Obstructions from matching conditions and completeness theorems prevent minimal regular black hole models from hosting unbounded FRW daughter cosmologies.
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Construction of Regular Black Holes in General Relativity
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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 central of the space-time can be cancelled in the parameters space and the black hole solutions become regular everywhere in the 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.
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Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are determined algebraically.
ABG-dS black holes show charged superradiant instability exclusively for the spherically symmetric ℓ=0 mode, with growth rates that peak at intermediate Λ and q and rise with Q, differing from RN-dS due to nonlinear electrodynamics.
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
For dyonic nonlinear electrodynamics with equal charges, the electromagnetic invariant f vanishes identically, enabling simple gravitating solutions in GR and extended gravity theories.
Combining regular black hole metrics with memory burden suppresses evaporation and opens a 10^6-10^8 g PBH mass window that can comprise all dark matter.
Bumblebee gravity coupled to NLED yields charged black hole solutions that become regular and horizonless when mass and charge are tuned to specific functions of the couplings.
Numerical construction of Hayward boson stars shows that frozen states produce Schwarzschild-like shadows with no extra photon rings while non-frozen states show multiple photon rings inside the shadow.
Regular black holes are constructed by prescribing finite curvature invariants with analytic profiles, yielding singularity-free geometries whose quasinormal mode stability depends on the effective potential's peak-to-valley ratio.
New regular black hole metrics in GR arise from a magnetic monopole NLED configuration with de Sitter cores, are fitted to Sgr A* shadow size, and remain stable under scalar perturbations.
Unimodular gravity with Maxwell sources yields regular black strings and BTZ black holes supported by a radially varying vacuum energy Λ(r) obtained as an integration constant.
Regular hairy black holes are built via gravitational decoupling by deforming Minkowski vacuum under weak energy condition and well-defined horizon constraints, recovering standard black hole metrics as limits.
Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
A scalar-NED coupled black hole metric is reconstructed from an effective geometry, yielding EHT bounds on magnetic charge, Hawking-Page transition, and topological equivalence to the Reissner-Nordström solution.
An exact AdS extension of the PINLED black hole is derived from the Einstein-Hilbert action plus nonlinear EM sector, preserving the original parametric form while adding the standard AdS lapse term, followed by full thermodynamic and geodesic analysis.
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
citing papers explorer
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Obstructions to Minimal Regular Black Hole Cosmologies
Obstructions from matching conditions and completeness theorems prevent minimal regular black hole models from hosting unbounded FRW daughter cosmologies.
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All $2D$ generalised dilaton theories from $d\geq 4$ gravities
Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are determined algebraically.
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Charged Superradiant Instability of Spherically Symmetric Regular Black Holes in de Sitter Spacetime: Time- and Frequency-Domain Analysis
ABG-dS black holes show charged superradiant instability exclusively for the spherically symmetric ℓ=0 mode, with growth rates that peak at intermediate Λ and q and rise with Q, differing from RN-dS due to nonlinear electrodynamics.
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Families of regular spacetimes and energy conditions
A classification of admissible energy density profiles with bounded Kretschmann scalar yields a unified framework for regular static spherically symmetric spacetimes satisfying the weak energy condition, recovering known models and producing new families with hypergeometric and other closed forms.
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On regular black strings spacetimes in nonlinear electrodynamics
No regular purely electric black strings exist in NED recovering the Maxwell limit, but regular cylindrical Bardeen and Hayward analogues are constructed with finite curvature.
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$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
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On gravitating dyonic configurations in nonlinear electrodynamics
For dyonic nonlinear electrodynamics with equal charges, the electromagnetic invariant f vanishes identically, enabling simple gravitating solutions in GR and extended gravity theories.
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Memory burden effect of regular primordial black holes
Combining regular black hole metrics with memory burden suppresses evaporation and opens a 10^6-10^8 g PBH mass window that can comprise all dark matter.
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When Bumblebee Meets NLED: Lorentz-Violating Black Holes and Regular Spacetimes
Bumblebee gravity coupled to NLED yields charged black hole solutions that become regular and horizonless when mass and charge are tuned to specific functions of the couplings.
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Light Rings, Accretion Disks and Shadows of Hayward Boson Stars
Numerical construction of Hayward boson stars shows that frozen states produce Schwarzschild-like shadows with no extra photon rings while non-frozen states show multiple photon rings inside the shadow.
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Finite Curvature Construction of Regular Black Holes and Quasinormal Mode Analysis
Regular black holes are constructed by prescribing finite curvature invariants with analytic profiles, yielding singularity-free geometries whose quasinormal mode stability depends on the effective potential's peak-to-valley ratio.
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Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
New regular black hole metrics in GR arise from a magnetic monopole NLED configuration with de Sitter cores, are fitted to Sgr A* shadow size, and remain stable under scalar perturbations.
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Regular Black Strings and BTZ Black Hole in Unimodular Gravity Supported by Maxwell Fields
Unimodular gravity with Maxwell sources yields regular black strings and BTZ black holes supported by a radially varying vacuum energy Λ(r) obtained as an integration constant.
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Regular hairy black holes through gravitational decoupling method
Regular hairy black holes are built via gravitational decoupling by deforming Minkowski vacuum under weak energy condition and well-defined horizon constraints, recovering standard black hole metrics as limits.
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A Note on Chaos in Hayward Black Holes with String Fluids
Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
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Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
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Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology
A scalar-NED coupled black hole metric is reconstructed from an effective geometry, yielding EHT bounds on magnetic charge, Hawking-Page transition, and topological equivalence to the Reissner-Nordström solution.
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Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
An exact AdS extension of the PINLED black hole is derived from the Einstein-Hilbert action plus nonlinear EM sector, preserving the original parametric form while adding the standard AdS lapse term, followed by full thermodynamic and geodesic analysis.
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Topology of black hole thermodynamics: A brief review
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
- Dymnikova Black Holes in Unimodular Gravity: Maxwell Sources and Vacuum Contributions
- Regular hairy black holes by gravitational decoupling: Bardeen and Minkowski-core seeds