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

2024/08/29 by Horváth, Anna, Forgács-Dajka, Emese, Barnaföldi, Gergely Gábor
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #Solar and Stellar Astrophysics (astro-ph.SR)

paper · doi:10.48550/arxiv.2408.16497

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.

Related

• The effect of multiple extra dimensions on the maximal mass of compact stars in Kaluza-Klein space-time
• Testing a Possible Way of Geometrization of the Strong Interaction by a\n Kaluza-Klein Star
• Correspondence of Many-flavor Limit and Kaluza-Klein Degrees of Freedom\n in the Description of Compact Stars
• Many-body problem in Kaluza-Klein models: theory and observational consequences
• Observational constraints on Kaluza-Klein models with d-dimensional spherical compactification