搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

物质纯重力场部分的能量-动量张量研究

娄太平

引用本文:
Citation:

物质纯重力场部分的能量-动量张量研究

娄太平

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

Lou Tai-Ping
PDF
导出引用
  • 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
    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.
    • 基金项目: 国家自然科学基金(批准号:50274030)和教育部留学回国人员科研启动基金资助的课题.
计量
  • 文章访问数:  7071
  • PDF下载量:  885
  • 被引次数: 0
出版历程
  • 收稿日期:  2003-10-08
  • 修回日期:  2003-11-13
  • 刊出日期:  2004-03-05

/

返回文章
返回