Open AccessInquiry about the exact interior solution to Einstein field equation for a perfe ct fluid sphere
Author(s) -
Zhong Ming-Qian
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.1585
Subject(s) - riccati equation , perfect fluid , physics , exact solutions in general relativity , bernoulli's principle , einstein field equations , mathematical physics , einstein , integrable system , field (mathematics) , exact differential equation , gravitational field , mathematical analysis , classical mechanics , partial differential equation , mathematics , first order partial differential equation , quantum mechanics , pure mathematics , thermodynamics
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-