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物理学报. 2003, 52(7): 1585-1588.
doi: 10.7498/aps.52.1585.
理想流体球的爱因斯坦场方程内部严格解研究
- 收稿日期: 2002-06-28
- 修回日期: 2002-12-03
- 刊出日期: 2003-07-20
摘要: 当静态的具有球对称性的理想流体的密度是径向坐标的函数时，Oppenheimer-Volkoff(OV) 方程成为Riccati方程-根据OV方程的一个已知特解，能将它变换成可积分的Bernoulli方程 ，严格地求得OV方程的通解和另一特解，进一步得到理想流体球的爱因斯坦场方程的内部严 格解，即度规分量的解析表示式-
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关键词:
- 爱因斯坦场方程 /
- OV方程 /
- 理想流体球内部严格解
English Abstract
Inquiry about the exact interior solution to Einstein field equation for a perfe ct fluid sphere
- Received Date:
28 June 2002
- Accepted Date:
03 December 2002
- Published Online:
20 July 2003
Abstract: When the density of a static spherically symmetric perfect fluid is a function of the radial coordinate, the Oppenheimer-Volkoff (OV) equation turns into a Riccati equation- If a particular solution of the OV equation is given, it can be transformed into an integrable Bernoulli equation, we can obtain a general exact solution and an other particular solution of the OV equation- Further more, the exact interior solutions of Einstein field equation for the perfect fluid sphere are also obtained, i-e- the analytical expressions of the metric compone nts-
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