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星球壳外气体空间的四维时空度规

发表时间:2009-08-15  浏览量:1371  下载量:650
全部作者: 赖小明,卞保民,杨玲,杨娟,李振华,贺安之
作者单位: 南京理工大学理学院
摘 要: 将理想气体一维不定常动力学偏微分方程组与物理学量纲Π定理相结合进行无量纲化处理,从理论上推导出固(液)体星球壳外非定域气体空间的尺度因子函数R(t)� 取原点时钟t为四维时空坐标系的时钟,建立了爱因斯坦曾经提及的、以原点处出现的光信号为物理观测基础的、恒星外空间均匀膨胀四维时空坐标系(t, ξ, θ, φ), 计算出对应的非欧氏四维时空度规。通过对参考实物元r附近尺度因子函数基本特性与球对称空间实物总量M(r)之间关系的分析研究,并且用与时间间隔元dt对应的光信号径向传播距离dr度量实物元径向坐标距离Rdξ,建立了一种非线性径向坐标变换。最终推导出与广义相对论史瓦西度规下相同的四维时空间隔元,并证明史瓦西度规是均匀膨胀四维时空度规在恒星外空间真空假设条件下的特例。
关 键 词: 相对论天体物理学;广义相对论;理想气体;四维时空度规
Title: Four dimensions time�space metric of perfect gas space outside star�s crust
Author: LAI Xiaoming, BIAN Baomin, YANG Ling, YANG Juan, LI Zhenhua, HE Anzhi
Organization: College of Science, Nanjing University of Science and Technology
Abstract: The partial differential equations of perfect gas, which is on one�dimensional unsteady dynamics, is non�dimensioned, integrating with Π theorem of physical dimension. It comes out the scale factor function form R(t), which is to the non�localized gas space out of solid (liquid) stars� crust. Using the origin clock as a clock for all the four�dimensional space�time coordinates, a homogeneous expansion four�dimensional space�time coordinates system (t, ξ, θ, φ) is established on the space out of stars, which is based on the optical signal appeared on the original point once mentioned by Einstein. A nonlinear radial coordinate conversion is established, by means of both analyzing the relationship between the basic identity of R(t) by reference object element r and total object M(r) in the spherical symmetrical space, and measuring radial coordinate distance Rdξ of object element by the radial coordinate propagation distance dr of optical signal, both of which corresponding to time interval element dt. Ultimately, it comes out the same four dimensions space�time interval element as it was under the Schwarzschild metric of general relativity, as well as to prove the Schwarzschild metric is the very case of homogeneous expansion four dimensions space�time metric outside stars in vacuum.
Key words: relativistic cosmology; general theory of relativity; perfect gas; four dimensions time�space metric
发表期数: 2009年8月第15期
引用格式: 赖小明,卞保民,杨玲,等. 星球壳外气体空间的四维时空度规[J]. 中国科技论文在线精品论文,2009,2(15):1604-1611.
 
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