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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Spherical black holes with regular center: a review of existing models including a recent realization with Gaussian sources
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abstract
We review, in a historical perspective, some results about black hole spacetimes with a regular center. We then see how their properties are realized in a specific solution that recently appeared; in particular we analyze in detail the (necessary) violation of the strong energy condition.
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The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solutions like Bardeen.
Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.
Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.
Two new regular black-hole solutions with de Sitter cores, supported by magnetic nonlinear electrodynamics, are constrained by Sgr A* shadows and shown to be linearly stable under scalar perturbations.
No-shell FRW daughters matched to asymptotically flat regular black holes are bounded if closed and past-incomplete if flat or open; a regular core alone cannot yield a viable daughter cosmology.
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.
Gravitational tension screening, acting as an analogue of Schwinger corrections, generates regular black bounce spacetimes for spherical, planar, and hyperbolic sections without ad hoc cores.
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.
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.
Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
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.
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.
GUP-corrected rotating wormholes based on the Dymnikova-Schwinger profile produce split co- and counter-rotating photon spheres and asymmetric shadows.
Black bounce spacetimes with larger throat parameter α produce enhanced periastron precession, light deflection, and a larger critical impact parameter in the wormhole regime, offering potential observational signatures.
A Simpson-Visser black bounce is embedded in an M60-calibrated dark matter halo, with the Sgr A* shadow radius constraining the solution to regular black hole configurations.
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.
Dymnikova black hole geometry is realized via Maxwell sources in unimodular gravity with radially dependent Lambda, producing a regular electric field from a localized charge distribution that has zero net asymptotic charge.
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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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Gravitating Tubes Beyond World Line Paradigm In General Relativity
The work constructs timelike tubes foliated by hypersurfaces with a brane-like action whose collective stress-energy is smooth, violates the strong energy condition inside the tube, and reduces to a point-particle action plus self-force term in the vanishing-radius limit.
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Black Hole Interiors as a Laboratory for Time-Dependent Classical Double Copy
Trapped black hole interiors admit exact time-dependent classical double copy via Kantowski-Sachs patches from static Kerr-Schild data, characterized by p_parallel = -ρ, with finite single-copy fields in regular solutions like Bardeen.
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Gravitational Properties of the Monopole Bag
Monopole bags in axionic backgrounds gravitationally collapse into horizonless states or dyonic regular black holes that evade singularities while retaining axionic hair.
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Tidal Deformation Bounds and Perturbation Transfer in Bounded Curvature Spacetimes
Bounded tidal fields imply a rigorous limit on accumulated geodesic deviation set by τ* = λ_max^{-1/2} and a critical wavenumber k* ~ τ*^{-1} for perturbation transfer with exponential suppression at high k.
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Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores
Two new regular black-hole solutions with de Sitter cores, supported by magnetic nonlinear electrodynamics, are constrained by Sgr A* shadows and shown to be linearly stable under scalar perturbations.
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Obstructions to Minimal Regular Black Hole Cosmologies
No-shell FRW daughters matched to asymptotically flat regular black holes are bounded if closed and past-incomplete if flat or open; a regular core alone cannot yield a viable daughter cosmology.
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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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Black Bounce via Gravitational Tension Screening Acting as an Analogue of Schwinger Corrections
Gravitational tension screening, acting as an analogue of Schwinger corrections, generates regular black bounce spacetimes for spherical, planar, and hyperbolic sections without ad hoc cores.
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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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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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Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
Massive scalar quasinormal modes in quasi-topological black holes become long-lived as scalar mass grows, while photon-sphere radius, shadow size, and ISCO exhibit moderate deviations from Schwarzschild.
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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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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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Dymnikova-Schwinger quantum-corrected slowly rotating wormholes: Photon and spinning particle dynamics
GUP-corrected rotating wormholes based on the Dymnikova-Schwinger profile produce split co- and counter-rotating photon spheres and asymmetric shadows.
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On relativistic observables in black bounce spacetimes
Black bounce spacetimes with larger throat parameter α produce enhanced periastron precession, light deflection, and a larger critical impact parameter in the wormhole regime, offering potential observational signatures.
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Black bounce solutions in a realistic dark matter halo from M60*
A Simpson-Visser black bounce is embedded in an M60-calibrated dark matter halo, with the Sgr A* shadow radius constraining the solution to regular black hole configurations.
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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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Dymnikova Black Holes in Unimodular Gravity: Maxwell Sources and Vacuum Contributions
Dymnikova black hole geometry is realized via Maxwell sources in unimodular gravity with radially dependent Lambda, producing a regular electric field from a localized charge distribution that has zero net asymptotic charge.
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