Noncommutative effects in astrophysical objects: a survey

TL;DR

This paper surveys how noncommutative geometry influences astrophysical objects by analyzing deformed dispersion relations and thermodynamics, affecting star stability and properties across different stellar types.

Contribution

It introduces a novel approach to incorporate noncommutative effects into astrophysical models using a specific deformed dispersion relation and thermodynamic calculations.

Findings

Noncommutativity modifies thermodynamical quantities of stars.

Stability of main-sequence stars and white dwarfs is affected.

Models suggest potential observable effects of noncommutativity in astrophysics.

Abstract

The main implications of noncommutativity over astrophysical objects are examined. Noncommutativity is introduced through a deformed dispersion relation $E^{2}=p^{2}c^{2}(1+\lambda E)^{2} + m^{2}c^{4}$ and the relevant thermodynamical quantities are calculated using the grand canonical ensemble formalism. These results are applied to simple physical models describing main-sequence stars, white-dwarfs and neutron stars. The stability of main-sequence stars and white dwarfs is discussed.