Towards a Noncommutative Astrophysics

TL;DR

This paper explores how noncommutative geometry affects the physics of astrophysical objects like stars and neutron stars by deriving corrections to their fundamental properties using a deformed dispersion relation.

Contribution

It introduces a novel noncommutative framework with a specific dispersion relation to analyze astrophysical objects, providing new insights into their physical properties.

Findings

Noncommutative corrections to pressure, energy, and particle densities are derived.

Implications for main-sequence stars, white dwarfs, and neutron stars are discussed.

The framework offers a new perspective on astrophysical phenomena in noncommutative spacetime.

Abstract

We consider astrophysical objects such as main-sequence stars, white-dwarfs and neutron stars in a noncommutative context. Noncommutativity is implemented via a deformed dispersion relation $E^{2}=p^{2}c^{2}(1+\lambda E)^{2}+m^{2}c^{4}$ from which we obtain noncommutative corrections to the pressure, particle number and energy densities for radiation and for a degenerate fermion gas. The main implications of noncommutativity for the considered astrophysical objects are examined and discussed.