Superdense star in a spacetime with minimal length

Abstract

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 κ-deformed spacetime and use this to set up noncommutative version of core-envelope model describing superdense stars. We derive κ-deformed law of density variation, valid up to first-order approximation in deformation parameter and obtain radial and tangential pressures in κ-deformed spacetime. We also derive κ-deformed strong energy conditions and obtain a bound on the deformation parameter.