Generalization of a perfect fluid solution in nonsymmetric gravitation theory

Abstract

A plane symmetric cosmological solution with perfect fluid has been derived in the context of the complex nonsymmetric gravitation theory by Kunstatter, Moffat, and Savaria. Their solution can be converted into a solution of the hypercomplex nonsymmetric gravitation theory (NGT) by a redefinition (κ → iκ) of the parameter (κ) appearing in the antisymmetric part of the fundamental tensor g[μν]. We generalize the NGT solution by assuming a more general Ansatz for the antisymmetric part of g[μν].