On creating mass/matter by extra dimensions in the Einstein-Gauss-Bonnet gravity

TL;DR

This paper investigates Kaluza-Klein black hole solutions in Einstein-Gauss-Bonnet gravity, demonstrating that extra dimensions can create mass and matter, with potential implications for dark matter in the universe.

Contribution

It provides a method to calculate mass and flux for KK black holes in 6D EGB gravity, supporting the idea that extra dimensions can generate matter.

Findings

Mass and flux are successfully calculated for 6D KK black holes.

The results support the idea that extra dimensions can create matter.

Potential link between KK-created matter and dark matter is discussed.

Abstract

Kaluza-Klein (KK) black hole solutions in the Einstein-Gauss-Bonnet (EGB) gravity in $D$ dimensions obtained in the current series of the works by Maeda, Dadhich and Molina are examined. Interpreting their solutions, the authors claim that the mass/matter is created by the extra dimensions. To support this claim, one needs to show that such objects have classically defined masses. We calculate the mass and mass flux for 3D KK black holes in 6D EGB gravity whose properties are sufficiently physically interesting. Superpotentials for arbitrary types of perturbations on arbitrary curved backgrounds, recently obtained by the author, are used, and acceptable mass and mass flux are obtained. A possibility of considering the KK created matter as dark matter in the Universe is discussed.