A study about the energy-momentum tensor of pure gravitational field part of matter

作者：Lou TP^*

来源：Acta Physica Sinica, 2004, 53(6): 1657-1661.

• energy-momentum tensor
• pure gravitational field
• gravitational field equation
• scalar gravitational potential
• vector gravitational potential

In this paper, the existing forms of matter is supposed to be divided into two parts, one is the pure matter part,and another is the pure gravitational field part. The two parts of existing forms of matter are corresponding to their energy-momentum tensors, respectively. So the total energy-momentum tensor of matter can be expressed as T-muv = T-muv((I)) + T-muv((II)) where T-muv((I)) and T-muv((II)) are energy-momentum tensors of pure matter part and pure gravitational field part, respectively. By analogy with the electromagnetic theory, a vector is defined as: omega(mu) equivalent to -c(2) g(mu0)/rootg(00), and an antisymmetric tensor is defined as: D-muv = partial derivative(omegamu)/partial derivativex(v) - partial derivativeomega(v)/partial derivativex(mu), so the energy-momentum tensor of the pure gravitational field part of the matter is supposed to be T-muv((II)) = (DmurhoDvrho - PP g(muv)D(alphabeta)D(alphabeta)/4)/4piG. The gravitational field equation which contains pure gravitational field part of matter can be expressed by R-muv - g(muv)R/2 = 8piG(Tmuv((I)) + T-muv((II)))/c(4). The theory of the gravitational field which contains the energy-momentum tensor of pure gravitational field part of matter can be used in an isolated globular symmetry for pure matter with mass M, which is time-independent, and the line-element of time-space for the out side of globular symmetry of pure matter can be obtained by ds(2) = - (1 - m/r)(-2)dr(2) - r(2)dtheta(2) - r(2)sin(2)thetadphi(2) + (1 - m/r)(2) c(2)dt(2), where m = GM/c(2).

• 出版日期2004-6
• 单位东北大学