Anisotropic fluid spherically symmetric space–times admitting a kinematic self-similarity

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Anisotropic fluid spherically symmetric space–times admitting a kinematic self-similar vector are investigated. The geodesic case is considered, and some special subcases in which the anisotropic fluid satisfies additional physical conditions are investigated in detail. A number of other special cases are studied. Particular attention is focused on the possible asymptotic behavior of the models, and it is shown that the models considered always asymptote towards an exact homothetic solution, which is in general either a perfect fluid model or a static solution.