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.
Four Parametric Regular Black Hole Solution
4 Pith papers cite this work. Polarity classification is still indexing.
abstract
We present a regular class of exact black hole solutions of Einstein equations coupled with a nonlinear electrodynamics source. For weak fields the nonlinear electrodynamics becomes the Maxwell theory, and asymptotically the solutions behave as the Reissner-Nordstr\"om one. The class is endowed with four parameters, which can be thought of as the mass $m$, charge $q$, and a sort of dipole and quadrupole moments $\alpha$ and $\beta$, respectively. For $\alpha \geq 3$, $\beta \geq 4$, and $|q| \leq 2 s_c m$ the corresponding solutions are regular charged black holes. For $\alpha=3$, they also satisfy the weak energy condition. For $\alpha=\beta=0$ we recover the Reissner-Nordstr\"om singular solution and for $\alpha=3$, $\beta=4$ the family includes a previous regular black hole reported by the authors.
representative citing papers
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.
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.
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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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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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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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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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.