Towards a noncommutative astrophysics

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.

Figure 1

Deformed dispersion relation.

Figure 2

Ratio between the noncommutative part and the commutative part of the pressure in units of $\lambda m_e{c}^2$.