Static Schwarzschild Affine Connection Revised by Physical Decomposition of Gravitational Field

Abstract

Physical decomposition of gauge fields and gravitational field are interesting subjects for many researchers [1, 2, 3, 4]. The decomposition of gauge field in Refs[1,2,3] has successfully solved the two-decade gauge problem of a meaningful gluon spin. Ref[4] extended this method to the gravitational field and attacked the longstanding problem of gravitational energy density. The metric is unambiguously separated into a pure geometric term which contributes null curvature tensor, and a physical term which represents the true gravitational effect and always vanishes in a flat space-time. In this paper, we will find the static Schwarzschild solution in the physical decomposition of gravitational field. Moreover, we compare the above solution with the ordinary static Schwarzschild solution. The differences between them show that there perhaps exist some unknown gravitational field energy out of static gravitational source. This conclusion probably help us to find the graviton from the deep universe by the modern advanced doctors.