The effect of multiple extra dimensions on the maximal mass of compact stars in Kaluza-Klein space-time

TL;DR

This paper explores how multiple extra compactified dimensions in Kaluza-Klein space-time influence the maximum mass of compact stars, finding that more dimensions slightly decrease the maximal mass.

Contribution

It introduces a model analyzing the impact of multiple extra dimensions on compact star masses within Kaluza-Klein theory, highlighting the role of dimensionality.

Findings

Increasing the number of extra dimensions reduces the maximal star mass by a few percent.

The effect of extra dimensions is comparable to excitation number effects.

Maximal mass calculations are performed for various model parameters.

Abstract

Compact stars in the Kaluza-Klein space-time are investigated, with multiple additional compactified spatial dimensions ($d$). Within the extended phenomenological model, a static, spherically symmetric solution is considered, with the equation of state provided by a zero temperature, interacting multi-dimensional Fermi gas. The maximal masses of compact stars are calculated for different model parameters. We investigated the effect of the existence of multiple extra compactified dimensions within the Kaluza-Klein compact star structure. We found that the number of extra dimensions plays a similar role, and to a similar order, as the excitation number: increasing their number, $d$, reduces the maximal mass by a few percent.