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Thermodynamic and shadow radius analysis of the charged Einstein-Euler-Heisenberg black hole
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abstract
We perform the thermodynamic and shadow radius analysis of an electrically charged black hole (EC) with electric charge $q$ and coupling constant $\mu$ obtained from the Einstein-Euler-Heisenberg nonlinear electodynamics. For $\mu=0.03$, we have four solution branches of the horizon including low, hot, negative, and cold ones, while for $\mu=0.3,3$ there exist single branches without limitation on $q$. The shadow radius for the low branch is the nearly same as that for the Reissner-Norstr\"om black hole for $q<1$ case, while one finds the $q>1$ negative branch which is constrained by the EHT observation.
Forward citations
Cited by 3 Pith papers
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Scalarization of Einstein-Euler-Heisenberg black hole with multiple horizons
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.
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Shadow and geometric scattering analysis of a new black hole with magnetic charge
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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