Thermodynamics of the Einstein-Euler-Heisenberg rotating black hole

We study the thermodynamic properties of a rotating electrically charged Einstein-Euler-Heisenberg black hole solution. This describes a QED generalization of the Kerr-Newman solution, which endows the vacuum with an effective dielectric constant. The QED-induced modifications to the thermodynamic quantities are presented and discussed. The Penrose process and the extraction of energy from the black hole at the event horizon are reviewed. We also analyze the Euler-Heisenberg nonlinear effects in the cases of supermassive, stellar, and primordial black holes. The evaporation of the black hole is analyzed as blackbody radiation.

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