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Multidimensional Reissner-Nordstrom Problem with a Generalized Maxwell Field

Kirill A. Bronnikov·Julio Cesar Fabris
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Abstract

We obtain and study static, spherically symmetric solutions for the Einstein - generalized Maxwell field system in 2n dimensions, with possible inclusion of a massless scalar field. The generalization preserves the conformal invariance of the Maxwell field in higher dimensions. Almost all solutions exhibit naked singularities, but there are some classes of black-hole solutions. For these cases the Hawking temperature is found and its charge/mass and dimension dependence is discussed. It is shown that, unlike the previously known multidimensional black-hole solutions, in our case the Hawking temperature may infinitely grow in the extreme case (that of minimum mass for given charges).

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Kirill A. Bronnikov, Julio Cesar Fabris. 1997-03-07. Multidimensional Reissner-Nordstrom Problem with a Generalized Maxwell Field. https://arxiv.org/abs/gr-qc/9703022

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