期刊
CLASSICAL AND QUANTUM GRAVITY
卷 19, 期 5, 页码 935-952出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/19/5/307
关键词
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We exhibit a simple and explicit formula for the metric of an arbitrary static spherically-symmetric perfect-fluid spacetime. This class of metrics depends on one freely specifiable monotonic non-increasing generating function. We also investigate various regularity conditions and the constraints they impose. Because we never make any assumptions as to the nature (or even the existence) of an equation of state, this technique is useful in situations where the equation of state is for whatever reason uncertain or unknown. To illustrate the power of the method we exhibit a new form of the 'Goldman-I' exact solution. This is a three-parameter closed-form exact solution given in terms of algebraic combinations of quadratics. It interpolates between (and thereby unifies) at least six other reasonably well-known exact solutions.
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