JOURNAL ARTICLE
论Einstein引力理论中坐标的物理意义和场方程的解
Year: 1982 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 12 (4)Pages: 334-345 Publisher: Science China Press
Abstract
本文联系引力势(它满足Einstein引力场方程)的边值条件指出坐标的物理意义,由于Bianchi恒等式,引力场方程要得到确定解必须辅之以谐和条件. 除了无穷大平面,在所考虑的引力体之外的一定区域,度规张量gμv的g00分量应成为Newton引力势. 我们用上述条件来求出球对称质量和具有均匀线密度的无穷长杆的静态解. 对于具有均匀表面密度的无穷大平面,上述关于g00的条件是解的必然结果,为此可以用等效原理把解确定下来,以便能导出Galileo的自由落体定律. 这个结果的分析可以作为一个例子显示出坐标的物理意义. 这样的程序可以用于求解Einstein理论中普遍的引力问题.
Keywords:
Einstein Physics Mathematical physics Philosophy
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Topics
Relativity and Gravitational Theory
Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics
Geophysics and Gravity Measurements
Physical Sciences → Earth and Planetary Sciences → Oceanography
Algebraic and Geometric Analysis
Physical Sciences → Mathematics → Applied Mathematics
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