Energy of Gravitational Field of Static Spherically Symmetric Neutron Stars**The project supported by National Natural Science Foundation of China under Grant Nos. 10275099 and 10175096, Natural Science Foundation of Guangdong Province of China under Grant Nos. 001182, 021707), and the Natural Science Foundation of South China University of Technology under Grant No. E5123266

Abstract

By using the Einstein–Tolman expression of the energy-momentum pseudo-tensor, the energy density of the gravitational field of the static spherically symmetric neutron stars is calculated in the Cartesian coordinate system. It is exciting that the energy density of gravitational field is positive and rational. The numerical results of the energy density of gravitational field of neutron stars are calculated. For neutron stars with , the ratio of the energy density of gravitational field to the energy density of pure matters would be up to 0.54 at the surface.