Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions

Abstract

A theoretical framework for calculating the mass-radius curve of compact stars in the Kaluza-Klein space-time is introduced, with one additional compact spatial dimension. Static, spherically symmetric solutions are considered, with the equation of state provided by a zero temperature, interacting multidimensional Fermi gas. To model the strong force between baryons, a repulsive potential is introduced, which is linear in the particle number density. The maximal mass of compact stars is calculated for different model parameters, and with a physical parameter choice, it satisfies observational data, meaning that it is possible to model simple, realistic objects within this framework. Based on this comparison, a limiting size for the observational regime of extra dimensions in compact stars is provided, with $r_c\gtrsim 0.2$~fm.

arXiv comment11 pages, 8 figures

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Cited by in corpus (2)

• The effect of multiple extra dimensions on the maximal mass of compact stars in Kaluza-Klein space-time
• Gravitational waves from a binary source in higher dimensional spacetime with compactified extra dimensions