Speed of sound in Kaluza-Klein Fermi gas

TL;DR

This paper investigates the speed of sound in a five-dimensional Kaluza-Klein Fermi gas, analyzing how it varies with model parameters and energy scales, from low energies to the conformal limit.

Contribution

It introduces a model of a Fermi gas in a Kaluza-Klein spacetime and calculates the speed of sound, exploring its properties across different energy regimes.

Findings

Speed of sound squared depends on model parameters.

Properties studied from low energies to conformal limit.

Provides insights into higher-dimensional Fermi gases.

Abstract

A five-dimensional Kaluza-Klein spacetime model is considered, with one extra compactified spatial dimension. The equation of state of an electrically neutral, zero-temperature Fermi gas with a repulsive linear potential is described. From the equation of state, the speed of sound squared is calculated and shown for different model parameters. Its properties are studied from lower energies up to the conformal limit.