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arXiv · 1511.01869

Two-dimensional manifold with point-like defects

Vakhid A. Gani·Alexander E. Dmitriev·Sergey G. Rubin
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Abstract

We study a class of two-dimensional compact extra spaces isomorphic to the sphere $S^2$ in the framework of multidimensional gravitation. We show that there exists a family of stationary metrics that depend on the initial (boundary) conditions. All these geometries have a singular point. We also discuss the possibility for these deformed extra spaces to be considered as dark matter candidates.

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Vakhid A. Gani, Alexander E. Dmitriev, Sergey G. Rubin. 2015-11-05. Two-dimensional manifold with point-like defects. https://doi.org/10.1016/j.phpro.2015.09.186

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