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Szekeres Universes with Homogeneous Scalar Fields

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arxiv 1808.00173 v2 pith:WYQR2FT4 submitted 2018-08-01 gr-qc astro-ph.COmath-phmath.MP

classification gr-qcastro-ph.COmath-phmath.MP
keywords fieldhomogeneousszekeresdescribeequationsfamiliesflrwscalar
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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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  1. Physical geometry of the quasispherical Szekeres models

    gr-qc 2019-08 conditional novelty 6.0 of 10

    The dipole functions in quasispherical Szekeres models shift shells relative to each other and rotate their local frames by exact amounts, and the paper shows how these effects explain the models' geometry.

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