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.
Non-Singular Charged Black Hole Solution for Non-Linear Source
6 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
A non-singular exact black hole solution in General Relativity is presented. The source is a non-linear electromagnetic field, which reduces to the Maxwell theory for weak field. The solution corresponds to a charged black hole with |q| \leq 2s_c m \approx 0.6 m, having metric, curvature invariants, and electric field bounded everywhere.
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2026 6roles
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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.
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.
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.
Within two QCD-inspired equations of state coupled to Eddington-Finkelstein collapse, finite chemical potential reshapes thermodynamics but does not produce self-regularizing black hole cores.
citing papers explorer
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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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$g_{tt}g_{rr} =-1$ 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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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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Regular black hole solutions and the quark chemical potential at the QCD phase transition
Within two QCD-inspired equations of state coupled to Eddington-Finkelstein collapse, finite chemical potential reshapes thermodynamics but does not produce self-regularizing black hole cores.