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Einstein-Euler-Heisenberg Theory and charged black holes

2013/07/31 by Remo Ruffini, Yuan-Bin Wu, She-Sheng Xue · 1 citation
Physics and Astronomy · #hep-th #astro-ph.HE #gr-qc #hep-ph

paper · pdf · doi:10.1103/physrevd.88.085004

published as Phys. Rev. D 88, 085004 (2013) · 24 pages, references added, some minor discussions added in Sec. 3. Matches version published in PRD

arxiv created 2013/10/07 · arxiv updated 2013/10/08

Abstract

Taking into account the Euler-Heisenberg effective Lagrangian of one-loop nonperturbative quantum electrodynamics (QED) contributions, we formulate the Einstein-Euler-Heisenberg theory and study the solutions of nonrotating black holes with electric and magnetic charges in spherical geometry. In the limit of strong and weak electromagnetic fields of black holes, we calculate the black hole horizon radius, area, and total energy up to the leading order of QED corrections and discuss the black hole irreducible mass, entropy, and maximally extractable energy as well as the Christodoulou-Ruffini mass formula. We find that these black hole quantities receive the QED corrections, in comparison with their counterparts in the Reissner-Nordström solution. The QED corrections show the screening effect on black hole electric charges and the paramagnetic effect on black hole magnetic charges. As a result, the black hole horizon area, irreducible mass, and entropy increase; however, the black hole total energy and maximally extractable energy decrease, compared with the Reissner-Nordström solution. In addition, we show that the condition for extremely charged black holes is modified due to the QED correction.

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