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Post-Newtonian parameters for general black hole and spherically symmetric p-brane solutions

V. D. Ivashchuk·V. S. Manko·V. N. Melnikov
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Abstract

Black hole p-brane solutions for a wide class of intersection rules are considered. The solutions are defined on a manifold which contains a product of n-1 Ricci-flat "internal'' spaces. The post-Newtonian parameters "beta" and "gamma" corresponding to a 4-dimensional section of the metric for general intersection rules are studied. It is shown that "beta" does not depend but "gamma" depends on brane intersections. For "block-orthogonal" intersection rules spherically symmetric solutions are considered, and explicit relations for post-Newtonian parameters are obtained. The bounds on parameters of solutions following from observational restrictions in the Solar system are presented.

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V. D. Ivashchuk, V. S. Manko, V. N. Melnikov. 2001-01-11. Post-Newtonian parameters for general black hole and spherically symmetric p-brane solutions. https://arxiv.org/abs/gr-qc/0101044

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