Cyclic Szekeres Universes

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.

10 pages, 7 figures, accepted for publication in EPJC

References in corpus (5)

• Quantum phantom cosmology
• Symmetries and Singularities of the Szekeres System
• Szekeres Universes with Homogeneous Scalar Fields
• Evolution of Cyclic Mixmaster Universes with Non-comoving Radiation
• Quantization of the Szekeres System

Cited by in corpus (7)

• Quasi-isotropic cycles and non-singular bounces in a Mixmaster cosmology
• Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
• Quantization of inhomogeneous spacetimes with cosmological constant term
• Inhomogeneous spacetimes in Weyl integrable geometry with matter source
• Inhomogeneous spacetimes in Einstein-æther Cosmology
• Quantum potentiality in Inhomogeneous Cosmology
• Comment on "Szekeres universes with homogeneous scalar fields"