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- W2092971422 abstract "A mathematical treatment of perturbed Friedmann models is given. Local existence, convergence and analytic linearization stability for the constraints for k=0, k+or-1 are shown. To prove this, special function spaces are introduced in order to invert certain elliptic differential operators. These function spaces can also be employed to formulate precisely some decomposition theorems used for the study of linearized perturbations (see Stewart and Durrer) where elliptic operators also have to be inverted. The results for the constraints cannot easily be generalized to the evolution equations. In particular one-parameter families which depend analytically on a parameter do not exist in general. This is a generalization of a result of Rendall (1990)." @default.
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- W2092971422 date "1991-07-01" @default.
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- W2092971422 title "Existence of finitely perturbed Friedmann models via the Cauchy problem" @default.
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- W2092971422 doi "https://doi.org/10.1088/0264-9381/8/7/006" @default.
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