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Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions
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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.
Forward citations
Cited by 2 Pith papers
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Gravitational waves from a binary source in higher dimensional spacetime with compactified extra dimensions
The claimed -1PN correction to the binary equations of motion is an artifact of an invalid expansion and never becomes larger than the Newtonian term, per the paper's own Eq. (97).
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Speed of sound in Kaluza-Klein Fermi gas
In a Kaluza-Klein Fermi gas, the speed-of-sound squared drops at each new level threshold and approaches 1/4 in the conformal limit when infinitely many levels are open.
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