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An asymptotic analysis of spherically symmetric perfect fluid self-similar solutions
2000
Classical and quantum gravity
The asymptotic properties of self-similar spherically symmetric perfect fluid solutions with equation of state p=alpha mu (-1alpha >-1 or asymptotically static for 1>alpha >0. Others are associated with an approximate power-law solution, in which case they are asymptotically quasi-static for 1>alpha >0 or asymptotically Minkowski for 1>alpha >1/5. We also show that there are solutions whose asymptotic behaviour is associated with finite values of z and which depend upon powers of ln z. These
doi:10.1088/0264-9381/17/20/309
fatcat:bvcu7mdzcvdjhceii4yeoq3ih4