Constructing exact solutions for special cases of Einstein equations in vacuum

Mathematics – Functional Analysis

Scientific paper

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Cosmology, Functional Analysis, Operator Theory, Matrix Theory, Experimental Techniques And Laboratory Studies

Scientific paper

The soliton solutions for a class of Einstein equations in vacuum, whose
metric tensor depends on only two variables are analyzed. Using the
dressing Zakharov-Shabat method we outline the construction of soliton
solutions on a `radiation' background.

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