https://doi.org/10.1140/epjc/s10052-019-6890-5
Regular Article - Theoretical Physics
Cyclic Szekeres universes
1
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Rd., Cambridge, CB3 0WA, UK
2
Instituto de Ciencias Físicas y Matemáticas, Universidad Austral de Chile, Valdivia, Chile
3
Institute of Systems Science, Durban University of Technology, PO Box 1334, Durban, 4000, Republic of South Africa
* e-mail: anpaliat@phys.uoa.gr
Received:
26
January
2019
Accepted:
18
April
2019
Published online:
2
May
2019
We consider the Szekeres universe with an inhomogeneous dust fluid and a homogeneous and isotropic ghost matter source with equation of state 
where 
is a constant. The field equations determine two families of spacetimes which describe homogeneous Kantowski–Sachs universes and inhomogeneous Friedmann universes. The ghost field permits static and cyclic solutions to exist. The stability of the Einstein static and cyclic solutions are studied with a critical point analysis.
© The Author(s), 2019
