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arXiv · 0911.1919

Theorem to generate Einstein-Non Linear Maxwell Fields

S. Habib Mazharimousavi·O. Gurtug·M. Halilsoy
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Abstract

We present a theorem in d-dimensional static, spherically symmetric spacetime in generic Lovelock gravity coupled with a non-linear electrodynamic source to generate solutions. The theorem states that irrespective of the order of the Lovelock gravity and non-linear Maxwell (NLM) Lagrangian, for the pure electric field case the NLM equations are satisfied by virtue of the Einstein-Lovelock equations. Applications of the theorem, specifically to the study of black hole solutions in Chern-Simons (CS) theory is given. Radiating version of the theorem has been considered, which generalizes the Bonnor-Vaidya (BV) metric to the Lovelock gravity with a NLM field as a radiating source. We consider also the radiating power - Maxwell source (i.e. $\(F_{μν}F^{μν}\)^{q},$ $q=$ finely - tuned constant) within the context of Lovelock gravity.

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S. Habib Mazharimousavi, O. Gurtug, M. Halilsoy. 2010-05-25. Theorem to generate Einstein-Non Linear Maxwell Fields. https://doi.org/10.1088/0264-9381%2F27%2F20%2F205022

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