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Lagrangian reverse engineering for regular black holes
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Nonlinear extensions of classical Maxwell's electromagnetism are among the prominent candidates for theories admitting regular black hole solutions. A quest for such examples has been fruitful, but mostly unsystematic and littered by the introduction of physically unrealistic Lagrangians. We provide a procedure which admits the reconstruction of a nonlinear electromagnetic Lagrangian, consistent with the Euler--Heisenberg Lagrangian in the weak-field limit, from a given metric representing a regular, magnetically charged black hole.
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Cited by 6 Pith papers
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A causal magnetic black hole with finite self-energy
A positive power-kernel mixture in nonlinear electrodynamics yields an exact magnetic black hole whose metric is strictly increasing for nonnegative mass parameter, giving at most one horizon and no inner Cauchy horiz...
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Purely Electric, Magnetic, and Dyonic Black Holes in Einstein-Euler-Heisenberg Theory
In Einstein-Euler-Heisenberg theory, purely magnetic and mixed electric-magnetic black holes can have three horizons, one outer and two inner, for weak QED coupling.
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Two-scale magnetically charged regular black holes from nonlinear electrodynamics and a T-duality-inspired zero-point length
A two-parameter regular black hole family is constructed, with an explicit nonlinear electrodynamics source, exact thermodynamic identities, and analytic shadow and plasma-lensing predictions.
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Barotropic Equation of State and Nonlinear Electrodynamics in Dynamical Black Hole Spacetimes
The paper's identification of the Husain solution's integration constant with nonlinear electrodynamics charges is undermined by internal inconsistencies in the reconstruction.
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Gravitational Collapse and Formation of Regular Black Holes: Dymnikova, Hayward, and Beyond
The paper derives a radiation density formula for a collapse in which baryonic matter converts into arbitrary target regular black hole matter.
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Formation of regular black hole from baryonic matter
A family of regular black hole collapse solutions is built by imposing a de Sitter core and matching to a Husain exterior; the shadow radius grows with the barotropic parameter alpha.
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