Open AccessThe study of static and stable gravitational fields by using the gravitational field theory including the energy-momentum tensor of the pure gravitational field part of matter
Author(s) -
Lou Tai-Ping
Publication year - 2005
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.54.18
Subject(s) - physics , gravitational field , stress–energy tensor , classical field theory , gravitational energy , gravitational constant , gravitation , metric tensor , einstein tensor , tensor (intrinsic definition) , einstein field equations , exact solutions in general relativity , mathematical physics , classical mechanics , quantum mechanics , riemann curvature tensor , geometry , mathematics , curvature , geodesic
In this paper, a general gravitational field theory containing the effect of cosmic constant and the energy_momentum tensor of the pure gravitational field part of matter is proposed. The equation of the grovitational field is Rμν -gμνR/2+λgμν=8πG(T(Ⅰ)μν+T(Ⅱ)μν )/c4 where λ is Einstein’s cosmic constant Ⅰ μν and Ⅱμν are energy_ momentum tensor of the p ure matter part and pure gravitational field part, respectively. Ⅱ μν can be expressed by T(Ⅱ)μν=(Dμρρ ν-gμναβαβ/4)/4πG where μνωμxν-ωνxμ and the vector is defined as: ωμ≡-c2gμ0/g00. The several static and stable gravit ational fields, such as the external static metric tensor of an isolated globula r symmetric pure matter which contain Einstein's cosmic constant or that with charge, the external stable metric tensor of a rotation isolated globular symm etric pure matter or that with charge, and the internal static gravitational equ ilibrium in a globular symmetric pure ideal fluid star matter are studied and di scussed respectively by the general gravitational field theory which contains the energy-momentum tensor of pure gravitational field part of matter.