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On a generalized soliton solution as an inhomogeneous cosmological model. (English) Zbl 0597.53057

Summary: We consider a generalized vacuum soliton solution of Einstein’s equations with three parameters. Depending on the values of the parameters it is the matching of the Kasner metric with a Wainwright, Ince and Marshman solution, the inhomogeneous version of some Bianchi III stiff matter metrics, and inhomogeneous (and homogeneous) space-times with cosmological singularity only.

MSC:

53B50 Applications of local differential geometry to the sciences
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83F05 Relativistic cosmology
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