物质纯重力场部分的能量-动量张量研究

认为物质的质量(能量)存在形式可分为两部分，一部分是以纯物质形式存在的，另一部分是以纯重力场形式存在的.物质质量(能量)这两种形式各自对应着相应的能量 动量张量，物质总的能量-动量张量可表示为Tμν=T(Ⅰ)μν+T(Ⅱ)μν,这里，T(Ⅰ)μν，T（Ⅱ）μν分别代表物质纯物质部分和纯重力场部分的能量-动量张量.通过类比电磁理论，定义：ωμ≡-c2gμ0/g00,并引入一个反对称张量Dμν=ωμ/xν-ων/xμ，则物质纯重力场部分的能量-动量张量为T(Ⅱ)μν=(DμρDρν-gμνDαβDαβ/4 关键词： 能量-动量张量 纯重力场 重力场方程 标量重力势 矢量重力势

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

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 Tμν=T(Ⅰ)μν+T(Ⅱ)μν,where T(Ⅰ)μν and T（Ⅱ）μνare energy-momentum tensors of pure matter part and pure gravitational field part,respectively.By analogy with the electromagnetic theory,a vector is defined as:ωμ≡-c2gμ0/g00,and an antisymmetric tensor is defined as:Dμν=ωμ/xν-ων/xμ，so the energy-momentum tensor of the pure gravitational field part of the matter is supposed to be T(Ⅱ)μν=(DμρDρν-gμνDαβDαβ/4)/4πG.The gravitational field equation which contains pure gravitational field part of matter can be expressed by Rμν-gμνR/2=8πG(T(Ⅰ)μν+T(Ⅱ)μν)/c4.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 ds2=-(1-m/r)-2dr2-r2dθ2-r2sin2θdφ2+(1-m/r)2c2dt2，where m=GM/c2.