Asymmetric inflation: exact solutions

TL;DR

This paper derives exact solutions to Einstein's equations for a universe with vacuum energy and planar symmetric matter configurations, potentially explaining features observed in WMAP data.

Contribution

It provides new exact solutions for anisotropic cosmologies with vacuum energy and matter, extending previous models and offering potential observational constraints.

Findings

Exact solutions for vacuum energy with magnetic fields, strings, or domain walls.

Inclusion of dust and approximate solutions for non-zero w matter.

Potential to explain features in WMAP cosmic microwave background data.

Abstract

We provide exact solutions to the Einstein equations when the Universe contains vacuum energy plus a uniform arrangements of magnetic fields, strings, or domain walls. Such a universe has planar symmetry, i. e., it is homogeneous but, not isotropic. Further exact solutions are obtained when dust is included and approximate solutions are found for $w\not=0$ matter. These cosmologies also have planar symmetry. These results may eventually be used to explain some features in the WMAP data. The magnetic field case is the easiest to motivate and has the highest possibility of yielding reliable constraints on observational cosmology.