Szekeres universes with homogeneous scalar fields.
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Peer-reviewed
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Authors
Barrow, John D
Paliathanasis, Andronikos
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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Keywords
0101 Pure Mathematics
Journal Title
Eur Phys J C Part Fields
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Journal ISSN
1434-6044
1434-6052
1434-6052
Volume Title
78
Publisher
Springer Science and Business Media LLC
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Sponsorship
Science and Technology Facilities Council (ST/P000673/1)
Science and Technology Facilities Council (ST/L000636/1)
Science and Technology Facilities Council (ST/L000636/1)