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Magnetically Charged Euler-Heisenberg Black Holes with Scalar Hair

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arxiv 2207.13146 v3 pith:KP3BRBPX submitted 2022-07-26 gr-qc hep-th

Thanasis Karakasis , George Koutsoumbas , Andri Machattou , Eleftherios Papantonopoulos This is my paper · ORCID
classification gr-qchep-th
keywords blackholescalareuler-heisenbergfieldhairychargedholes
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We study the Einstein-Euler-Heisenberg theory in the presence of a self interacting scalar field, minimally coupled to gravity. We solve analytically the field equations for the magnetically charged case and we obtain novel magnetically charged hairy black holes. The scalar field dresses the black hole with a secondary scalar hair. The hairy black hole develops three horizons when Euler-Heisenberg parameter and the magnetic charge are small and the horizon radius is getting large when the scalar charge and the gravitational mass are large. The presence of matter and the magnetic field outside the horizon of the black hole increases the temperature only for small black holes. Calculating the heat capacity we show that the asymptotically AdS Euler-Heisenberg hairy black hole undergoes a second order phase transition and then it is stabilized. Also the weak energy condition is violated for the asymptotically AdS Euler-Heisenberg hairy black hole.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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.

  2. Self-Gravitating Magnetic Monopoles and Dyons in String-Inspired Models: Structure and Stability

    hep-th 2026-06 unverdicted novelty 5.5 of 10

    Global monopoles plus dilaton/axion/Born-Infeld yield regular self-gravitating magnetic monopoles and dyons with positive ADM mass, finite energy and linear exterior EM stability.

  3. 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.

  4. 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.

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