Some Kasner-type solutions

Mathematics – Logic

Scientific paper

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Cosmology, Einstein Equations, Space-Time Functions, Eigenvalues, Maxwell Equation, Relativity

Scientific paper

Some exact solutions of the Einstein equations in a spacetime that admits an Abelian three-parameter group of spatial isometries are presented. These solutions depend on one variable and take into account a cosmological constant or an electromagnetic field. Vacuum, Einstein-Maxwell, and Petrov-type solutions are obtained which correspond to static as well as nonstatic spacetimes.

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