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Four Parametric Regular Black Hole Solution

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
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.

fields

gr-qc 2

years

2026 1 2025 1

representative citing papers

Three dimensional black bounces in $f(R)$ gravity

gr-qc · 2026-01-25 · conditional · novelty 5.0

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.

Testing black hole metrics with binary black hole inspirals

gr-qc · 2025-10-06 · unverdicted · novelty 3.0

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

Showing 2 of 2 citing papers.

  • Three dimensional black bounces in $f(R)$ gravity gr-qc · 2026-01-25 · conditional · none · ref 22 · internal anchor

    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.

  • Testing black hole metrics with binary black hole inspirals gr-qc · 2025-10-06 · unverdicted · none · ref 35 · internal anchor

    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.