Correspondence of Many-flavor Limit and Kaluza-Klein Degrees of Freedom in the Description of Compact Stars

TL;DR

This paper explores how multi-flavor fermion star equations of state relate to Kaluza-Klein theories, showing that increasing degrees of freedom affects star properties like mass and radius, with implications for compactified extra dimensions.

Contribution

It establishes a novel correspondence between many-flavor fermion stars and Kaluza-Klein compact stars, linking flavor excitations to extra-dimensional degrees of freedom.

Findings

Maximum star mass depends on the number of excited states.

Equation of state is influenced by the size of the extra dimension.

Mass-radius relations are affected by the degrees of freedom.

Abstract

We present the correspondence between non-interacting multi-hadron fermion star equation of state in the many-flavor limit and the degrees of freedom of a Kaluza\,--\,Klein compact star. Many flavors can be interpreted in this framework as one extra compacti\-fied spatial dimension with various, more-and-more massive hadron state excitations. The effect of increasing the degrees of freedom was investigated on the equation of state and in connection with the mass-radius relation, $M(R)$. The maximum mass of the star, $M_{\mathrm{max}}$ were also calculated as a function of the maximum number of excited states, $n$ and the size of the compactified extra dimension, $R_{\mathrm{c}}$.