Superdense star in a space-time with minimal length
arXiv:1901.03755 · doi:10.1142/S0217732319501165
Abstract
In this paper we generalise core-envelope model of superdense star to a non-commutative space-time 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 -deformed space-time and use this to set up non-commutative version of core-envelope model describing superdense stars. We derive -deformed law of density variation, valid up to first order approximation in deformation parameter and obtain radial and tangential pressures in -deformed space-time. We also derive -deformed strong energy conditions and obtain a bound on the deformation parameter.
25 pages, 3 figures
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