Szekeres Universes with Homogeneous Scalar Fields
John D. Barrow, Andronikos Paliathanasis
TL;DR
This paper explores the existence and stability of homogeneous scalar field solutions within Szekeres cosmological models, identifying stable solutions that resemble accelerating flat FLRW universes.
Contribution
It introduces two families of solutions with scalar fields in Szekeres spacetimes and analyzes their stability, highlighting stable accelerating flat FLRW-like solutions.
Findings
Existence of homogeneous scalar field solutions in Szekeres models.
Identification of stable solutions with accelerating flat FLRW geometry.
Comparison with original Szekeres spacetimes containing pressure-free matter.
Abstract
We consider the existence of an "inflaton" described by an homogeneous scalar field in the Szekeres cosmological metric. The gravitational field equations are reduced to two families of solutions which describe the homogeneous Kantowski-Sachs spacetime and an inhomogeneous FLRW(-like) spacetime with spatial curvature a constant. The main differences with the original Szekeres spacetimes containing only pressure-free matter are discussed. We investigate the stability of the two families of solution by studying the critical points of the field equations. We find that there exist stable solutions which describe accelerating spatially-flat FLRW geometries.
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