Deformed compact extra space as dark matter candidate

TL;DR

This paper explores how deformed two-dimensional extra spaces in multidimensional gravity could serve as dark matter candidates, with calculations showing their properties align with observational constraints.

Contribution

It introduces a class of stationary deformed extra space metrics with point-like defects as a novel dark matter candidate within multidimensional gravity.

Findings

Deformed extra spaces can have point-like defects.

Scattering cross sections match observational constraints.

Deformed extra spaces are viable dark matter candidates.

Abstract

We elaborate the possibility for a deformed extra space to be considered as the dark matter candidate. To perform calculations a class of two-dimensional extra metrics was considered in the framework of the multidimensional gravity. It was shown that there exists a family of stationary metrics of the extra space possessing point-like defect. Estimation of cross section of scattering of a particle of the ordinary matter on a spatial domain with deformed extra space is in agreement with the observational constraints.