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تسجيل مستخدم جديدBlack hole magnetospheres in the Born-Infeld theory
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We study the force-free electrodynamics on rotating black holes in the Born-Infeld (BI) effective theory. The stream equation describing a steady and axisymmetric magnetosphere is derived. From its near-horizon behavior, we obtain the modified Znajek regularity condition, with which we find that the horizon resistivity in the BI theory is generally not a constant. As expected, the outer boundary condition far away from the hole remains unchanged. In terms of the conditions at both boundaries, we derive the perturbative solution of split monopole in the slow rotation limit. It is interesting to realise that the correction to the solution relies not only on the parameter in the BI theory, but also on the radius (or the mass) of the hole. We also show that the quantum effects can undermine the energy extraction process of the magnetosphere in the non-linear theory and the extraction rate gets the maximum in the Maxwell theory.
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The energy extraction from a Einstein-Born-Infeld (EBI) black hole is addressed determining the extension of the ergosphere as well as the extractable energy using the irreducible mass concept. These results are compared with the Reissner-Nordstrom (
RN) ones; RN is the linear electromagnetic counterpart of the BI black hole. It turns out that for a fixed charge Q, more energy can be extracted from the RN black hole than from the EBI one. The extreme case is investigated as well, presenting remarkable features, for instance that more energy can be extracted from extreme EBI black holes than from extreme RN, however, extreme EBI black holes lack of a linear electromagnetic black hole limit.
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