Inquiry about the exact interior solution to Einstein field equation for a perfe ct fluid sphere

Zhong Ming-Qian

doi:10.7498/aps.52.1585

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-

Keywords:
Einstein field equation /

Oppenheimer-Volkoff equation /

exact interio r solution for the perfect fluid sphere
Authors and contacts
Zhong Ming-Qian

1.
西北大学物理系，西安 710069
References

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Vol. 52, Issue 7 - 2003-04-05

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Inquiry about the exact interior solution to Einstein field equation for a perfe ct fluid sphere

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Inquiry about the exact interior solution to Einstein field equation for a perfe ct fluid sphere

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