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The Reissner-Nordstrom Problem for Intersecting Electric and Magnetic p-Branes

K. A. Bronnikov·V. D. Ivashchuk·V. N. Melnikov
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Abstract

A multidimensional model with (at most) one curved factor space and n Ricci-flat internal spaces is considered, with arbitrary numbers of dilatonic scalar fields and antisymmetric forms of both electric and magnetic types, associated with p-branes in theories like M-theory. The problem setting covers, in particular, homogeneous cosmologies, static, spherically symmetric and Euclidean models. Exact solutions are obtained when the p-brane dimensions and the dilatonic couplings obey orthogonality conditions in minisuperspace. Conditions for black hole and wormhole existence among static models are formulated. For black holes, a kind of no-hair theorem, leading to F-form selection, is obtained; it is shown that even in spaces with multiple times a black hole may only exist with its unique, one-dimensional time; infinite Hawking temperature is explicitly shown to imply a curvature singularity at an assumed horizon, and such cases among extreme black-hole solutions are indicated.

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K. A. Bronnikov, V. D. Ivashchuk, V. N. Melnikov. 1997-10-09. The Reissner-Nordstrom Problem for Intersecting Electric and Magnetic p-Branes. https://arxiv.org/abs/gr-qc/9710054

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