Effects of modified dispersion relations on free Fermi gas: equations of state and applications in astrophysics

TL;DR

This paper investigates how modified dispersion relations affect the equations of state of a free Fermi gas and explores implications for astrophysical objects like relativistic stars.

Contribution

It introduces a model incorporating deformed energy relations into the Fermi gas equations of state and analyzes their impact on stellar structure.

Findings

Deformed dispersion relations influence the mass-radius relationship of relativistic stars.

The model suggests a positive effect of deformed Fermi gases on stellar properties.

Potential extensions include realistic equations of state with nucleon interactions.

Abstract

Deformed dispersion relations are considered in the study of equations of state of Fermi gas with applications to compact objects. Different choices of deformed energy relations are used in the formulation of our model. As a first test, we consider a relativistic star with a simple internal structure. The mass-radius diagrams obtained suggest a positive influence of deformed Fermi gas, depending of the functions employed. In addition, we comment on how realistic equations of state, in which interactions between nucleons are taken into account, can be addressed.