Self-similarity in General Relativity
نویسنده
چکیده
The different kinds of self-similarity in general relativity are discussed, with special emphasis on similarity of the " first " kind, corresponding to spacetimes admitting a ho-mothetic vector. We then survey the various classes of self-similar solutions to Einstein's field equations and the different mathematical approaches used in studying them. We focus mainly on spatially homogenous and spherically symmetric self-similar solutions, emphasizing their possible roles as asymptotic states for more general models. Perfect fluid spherically symmetric similarity solutions have recently been completely classified, and we discuss various astrophys-ical and cosmological applications of such solutions. Finally we consider more general types of self-similar models.
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