Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain centrally singular.
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New Regular Black Hole Solution from Nonlinear Electrodynamics
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abstract
Using a nonlinear electrodynamics coupled to General Relativity a new regular exact black hole solution is found. The nonlinear theory reduces to the Maxwell one in the weak limit, and the solution corresponds to a charged black hole for |q| \leq 2s_c m \approx 1.05 m, with metric, curvature invariants, and electric field regular everywhere.
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In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitutive response and redistributed by spin.
Derives Smarr formula from generalized Komar charge in 4D Einstein-NLED theories by treating coupling constant as dynamical field, and analyzes thermodynamics of regular Bardeen black hole.
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
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.
In the Carter-projective sector of stationary axisymmetric spacetimes, the diagonal Einstein equations reduce to a single sourced master equation for structure functions Delta and Y, with algebraic compatibility conditions on sources.
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.
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
Quasi-normal modes are computed via the shooting method and shown to distinguish reentrant large-small-large phase transitions in nonlinear charged AdS black holes.
Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-condition violation locations.
BlackHawk v3.0 adds Hawking temperatures and greybody factors for multiple regular black hole metrics to an existing public code via numerical routines.
Derives spin-dependent bounds on NED deformation g/M from Sgr A* shadow, eikonal QNMs, and Comisso-Asenjo reconnection power in rotating geometries.
Dark matter halo profiles admit effective nonlinear electrodynamics completions that source regular black holes exhibiting de Sitter cores for finite central density and Schwarzschild asymptotics.
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.
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
Black bounce geometries exist in 2+1D f(R) gravity with scalar-nonlinear electrodynamics matter, including vanishing scalar curvature solutions whose viability is checked via scalaron mass and energy conditions.
Tidal forces in the Simpson-Visser spacetime produce Roche radii for stars that depend on observer type and regularization, with some disruptions occurring outside the event horizon for supermassive black holes.
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.
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
Constraints on deviations from Kerr black hole metrics are derived from binary black hole inspiral waveforms modeled with effective one-body methods and analyzed via the parameterized post-Einsteinian framework.
citing papers explorer
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Static regular black holes in Horndeski theories: analytic no-go and nonanalytic obstructions
Analytic nondegenerate shift-symmetric Horndeski theories admit no static spherical regular black holes with a time-independent scalar; the unique marginal nonanalytic completion is sGB, whose hairy solutions remain centrally singular.
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Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole
In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitutive response and redistributed by spin.
-
Derivation of the Smarr formula from the Komar charge in Einstein-nonlinear electrodynamics theories and applications to regular black holes
Derives Smarr formula from generalized Komar charge in 4D Einstein-NLED theories by treating coupling constant as dynamical field, and analyzes thermodynamics of regular Bardeen black hole.
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All $2D$ generalised dilaton theories from $d\geq 4$ gravities
All integrable 2D Horndeski theories (and thus many regular black-hole metrics) arise as spherical reductions of pure d≥4 gravities, which the paper terms quasi-topological.
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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.
-
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.
-
A master equation for Carter-separable stationary axisymmetric spacetimes and compatible sources
In the Carter-projective sector of stationary axisymmetric spacetimes, the diagonal Einstein equations reduce to a single sourced master equation for structure functions Delta and Y, with algebraic compatibility conditions on sources.
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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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The Remnant of an Evaporating Rotating Regular Black Hole from the Generalized Entropy in the Final Stage of Evaporation
A rotating regular black hole leaves a remnant because the correction term in the generalized entropy of Hawking radiation vanishes at a finite mass above the extremal limit.
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Quasi-normal modes as probes of black hole reentrant phase transitions
Quasi-normal modes are computed via the shooting method and shown to distinguish reentrant large-small-large phase transitions in nonlinear charged AdS black holes.
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Regular Black Holes from Anisotropic Source with Hydrodynamic Equation of State
Regular black hole metrics are constructed from anisotropic fluids with P=P(ρ) equations of state, yielding known and new solutions while revealing sound-speed sign changes and a universal hierarchy in energy-condition violation locations.
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$\tt BlackHawk$ $\tt v3.0$: Hawking Radiation from Regular Black Holes
BlackHawk v3.0 adds Hawking temperatures and greybody factors for multiple regular black hole metrics to an existing public code via numerical routines.
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Energy extraction from NED-deformed rotating black holes via the Comisso-Asenjo reconnection process
Derives spin-dependent bounds on NED deformation g/M from Sgr A* shadow, eikonal QNMs, and Comisso-Asenjo reconnection power in rotating geometries.
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Field Sources for Dark Matter Black Holes
Dark matter halo profiles admit effective nonlinear electrodynamics completions that source regular black holes exhibiting de Sitter cores for finite central density and Schwarzschild asymptotics.
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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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Properties of black holes in non-linear electrodynamics
Analytic charged black holes in nonlinear electrodynamics with non-monotonic lapse functions support stable light rings and additional longer-lived quasinormal modes compared to Einstein gravity.
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Three dimensional black bounces in $f(R)$ gravity
Black bounce geometries exist in 2+1D f(R) gravity with scalar-nonlinear electrodynamics matter, including vanishing scalar curvature solutions whose viability is checked via scalaron mass and energy conditions.
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Roche limit and stellar disruption in the Simpson--Visser spacetime
Tidal forces in the Simpson-Visser spacetime produce Roche radii for stars that depend on observer type and regularization, with some disruptions occurring outside the event horizon for supermassive black holes.
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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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Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
Charged AdS black holes in dRGT massive gravity with exponential NED exhibit van der Waals-like first-order, second-order critical, and reentrant phase transitions between small and large black holes at fixed Lambda.
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Testing black hole metrics with binary black hole inspirals
Constraints on deviations from Kerr black hole metrics are derived from binary black hole inspiral waveforms modeled with effective one-body methods and analyzed via the parameterized post-Einsteinian framework.
- Quasibound states of a charged Dirac field around regular black holes
- Can finite-density QCD matter support a regular black hole core?