Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915367243218944 |
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| author | Horváth, Anna Forgács-Dajka, Emese Barnaföldi, Gergely Gábor |
| author_facet | Horváth, Anna Forgács-Dajka, Emese Barnaföldi, Gergely Gábor |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_16497 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions Horváth, Anna Forgács-Dajka, Emese Barnaföldi, Gergely Gábor General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Solar and Stellar Astrophysics 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. |
| title | Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2408.16497 |