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Black hole solutions in Euler-Heisenberg theory

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arxiv gr-qc/0005016 v2 pith:MAD5SGU2 submitted 2000-05-04 gr-qc hep-th

classification gr-qchep-th
keywords blackholechargedsolutionstheoryconsideredmagneticallythey
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abstract

We construct static and spherically symmetric black hole solutions in the Einstein-Euler-Heisenberg (EEH) system which is considered as an effective action of a superstring theory. We considered electrically charged, magnetically charged and dyon solutions. We can solve analytically for the magnetically charged case. We find that they have some remarkable properties about causality and black hole thermodynamics depending on the coupling constant of the EH theory $a$ and $b$, though they have central singularity as in the Schwarzschild black hole.

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Cited by 10 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 182 citations worldwide. Full citation record

  1. Living on the Edge of Effective Field Theory: Near-Extremal Black Holes in Quadratic Gravity

    gr-qc 2026-08 conditional novelty 8.0 of 10

    Near-extremal black holes in dynamical Chern-Simons gravity have a regular extremal endpoint matching the deformed near-horizon Kerr throat, while in scalar Gauss-Bonnet gravity the extremal throat is disconnected fro...

  2. Purely Electric, Magnetic, and Dyonic Black Holes in Einstein-Euler-Heisenberg Theory

    gr-qc 2026-07 conditional novelty 6.0 of 10

    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.

  3. Charge-dependent scalarization of Einstein- Euler-Heisenberg black holes

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Charge-dependent scalarization of EEH black holes yields stable scalarized branches for 0<q<1.115 with positive α and for q>1.115 with negative α.

  4. Polar perturbations of dilaton-Euler-Heisenberg black holes

    gr-qc 2026-01 conditional novelty 6.0 of 10

    Every computed fundamental quasinormal frequency for polar metric-dilaton perturbations of dilaton-Euler-Heisenberg black holes has a negative imaginary part, meaning the modes are damped, with ε=+1 and ε=−1 differing...

  5. Scalarization of Einstein-Euler-Heisenberg black hole with multiple horizons

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Stable, positive-mass scalarized EEH black holes exist only in an intermediate primary-scalar-charge window for low/cold horizons and above a lower bound for hot horizons.

  6. Properties of black holes in non-linear electrodynamics

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Nonlinear electrodynamics black holes with non-monotonic lapse functions admit stable light rings and trapped near-horizon photon orbits that generate additional longer-lived quasinormal mode branches.

  7. Anisotropic matter and nonlinear electromagnetics black holes

    gr-qc 2026-03 unverdicted novelty 5.0 of 10

    Establishes a parameter mapping from anisotropic matter black holes to nonlinear electrodynamics black holes, recovering known solutions like dark matter and scalar hair cases and extending to rotating extremal limits.

  8. Negative potential-induced scalarization in the Einstein-Euler-Heisenberg black hole

    gr-qc 2025-08 conditional novelty 5.0 of 10

    A single branch of scalarized Einstein-Euler-Heisenberg black holes is constructed numerically, found to be thermodynamically disfavored and dynamically unstable for all magnetic charges.

  9. Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    Numerical scattering calculations for neutral scalar and Dirac fields on Einstein-Euler-Heisenberg-de Sitter black holes show that Euler-Heisenberg coupling raises barriers and shifts transmission frequencies upward w...

  10. Shadow and geometric scattering analysis of a new black hole with magnetic charge

    gr-qc 2025-05 reject novelty 4.0 of 10

    The paper derives a magnetically charged black hole metric with a tiny q^6/r^10 correction and claims EHT constraints on the charge, but its naked-singularity branches still have horizons.

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