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Shadow and quasinormal modes of the rotating Einstein-Euler-Heisenberg black holes

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arxiv 2406.18300 v3 pith:DQEHJ4TO submitted 2024-06-26 gr-qc

classification gr-qc
keywords blackholechargeeffectseinstein-euler-heisenbergfieldholeslagrangian
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abstract

The Einstein-Euler-Heisenberg (EEH) black hole model is an extension of classical black hole solutions in general relativity, incorporating quantum electrodynamics (QED) effects via the Euler-Heisenberg Lagrangian. The Euler-Heisenberg Lagrangian describes the nonlinear corrections to Maxwell's equations due to virtual electron-positron pair production in a strong electromagnetic field. When this Lagrangian is coupled with Einstein's field equations, it leads to modified black hole solutions that take into account these quantum corrections. In this paper, we investigate the impact of the black hole charge $Q_e$ on the properties of the rotating and electrically charged Einstein-Euler-Heisenberg black holes (EEH). To this aim, we analyzed and discussed findings as to how the black hole charge $Q_e$ affects certain black hole properties such as null regions, shadow cast and its observables, and quasinormal modes (QNMs) relative to the Kerr and Kerr-Newman cases. We find that the presence of a screened charge due to the associated QED effects in this screened Maxwell theory might noticeably alter the properties of black holes, offering insights into the interplay between gravity and quantum field effects.

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Cited by 5 Pith papers

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  1. The Euler-Heisenberg action for a $U(1)\times U(1)$ dyon quantum electrodynamics

    hep-th 2026-07 accept novelty 6.5 of 10

    One-loop Euler-Heisenberg Lagrangian for U(1)×U(1) dyon QED produces hybrid refractive indices and vacuum birefringence that reduce exactly to ordinary QED when magnetic charge vanishes.

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  4. Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model

    gr-qc 2026-03 conditional novelty 4.0 of 10

    PINLED Y^n black holes have charge-driven inward shifts of photon sphere, shadow, and ISCO, with null-geodesic observables distinguishing them from RN more clearly than timelike ones.

  5. Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow

    astro-ph.GA 2025-07 conditional novelty 4.0 of 10

    Applying the strong deflection limit to the F(R)-Euler-Heisenberg-Rainbow black hole gives lensing observables that increase with the Euler-Heisenberg parameter and decrease with charge.

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