On the quantization of a neutron star

Abstract

This paper deals with quantum gravitation applied to a simple neutron star model. For the quantization process, we use the Weyl prescription that can be used for functions that are not defined in the phase space. The Weyl quantization is applied to the expression of gravitational energy defined in the context of Teleparallelism Equivalent to General Relativity (TEGR). From this, a quantum equation is obtained whose observable is the classical energy. As a consequence, we obtained discretizations for the mass of the star and its angular momentum.