Open AccessA study about the energy-momentum tensor of pure gravitational field part of matter
Author(s) -
Lou Tai-Ping
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.1657
Subject(s) - physics , gravitational field , gravitational energy , stress–energy tensor , gravitation , tensor (intrinsic definition) , classical field theory , mathematical physics , exact solutions in general relativity , classical mechanics , quantum mechanics , geometry , mathematics
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 TⅡμνare 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/xμso 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-r2sin2θdφ2+(1-m/r)2c2dt2where m=GM/c2.