Cosmologies with Two-Dimensional Inhomogeneity
A. Feinstein, J. Ib\'a\~nez, Ruth Lazkoz (Dpto. F\'isica Te\'orica,, Universidad del Pa\'is Vasco, Bilbao, Spain)
TL;DR
This paper introduces a new algorithm for generating exact, non-static solutions to Einstein's equations with two-dimensional inhomogeneity, applicable to scalar fields and perfect fluids, expanding the set of known cosmological models.
Contribution
The paper presents a novel generating algorithm for constructing exact inhomogeneous solutions of Einstein's equations with two-dimensional inhomogeneity, including scalar fields and perfect fluids.
Findings
Constructed infinite families of solutions with scalar fields.
Constructed solutions with perfect fluids.
Discussed applications and specific families of solutions.
Abstract
We present a new generating algorithm to construct exact non static solutions of the Einstein field equations with two-dimensional inhomogeneity. Infinite dimensional families of inhomogeneous solutions with a self interacting scalar field, or alternatively with perfect fluid, can be constructed using this algorithm. Some families of solutions and the applications of the algorithm are discussed.
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