Two-dimensional manifold with point-like defects

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.

4 pages, 2 figures; Proceedings of the Conference of Fundamental Research and Particle Physics, 18-20 February 2015, Moscow, Russian Federation

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Cited by in corpus (3)

• Classical transitions with the topological number changing in the early Universe
• Transitions between topologically non-trivial configurations
• Cosmological baryon/lepton asymmetry in terms of Kaluza-Klein extra dimensions