Narrow Results

In this paper, we generalize core–envelope model of superdense star to a noncommutative spacetime and study the modifications due to the existence of a minimal length, predicted by various approaches to quantum gravity. We first derive Einstein’s field equation in $\kappa$-deformed spacetime and use this to set up noncommutative version of core–envelope model describing superdense stars. We derive $\kappa$-deformed law of density variation, valid up to first-order approximation in deformation parameter and obtain radial and tangential pressures in $\kappa$-deformed spacetime. We also derive $\kappa$-deformed strong energy conditions and obtain a bound on the deformation parameter.