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arXiv · 1901.09173

Cyclic Szekeres Universes

John D. Barrow·Andronikos Paliathanasis
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Abstract

We consider the Szekeres universe with an inhomogeneous dust fluid and a homogeneous and isotropic ghost matter source with equation of state $p_{g}=\left( \gamma-1\right) \rho_{g},$ where $\gamma$ is a constant. The field equations determine two families of spacetimes which describe homogeneous Kantowski-Sachs universes and inhomogeneous Friedmann universe. The ghost field Einstein permits static and cyclic solutions to exist. The stability of the Einstein static and cyclic solutions are studied with a critical point analysis.

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John D. Barrow, Andronikos Paliathanasis. 2019-01-26. Cyclic Szekeres Universes. https://doi.org/10.1140/epjc%2Fs10052-019-6890-5

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