Eur. Phys. J. C (2020) 80: 55
https://doi.org/10.1140/epjc/s10052-019-7600-z

Regular Article - Theoretical Physics

Dynamics and cosmological evolution in -varying cosmology

¹ Department of Astronomy-Astrophysics-Mechanics, Faculty of Physics, University of Athens, Panepistemiopolis, 15783, Athens, Greece
² School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Iroon Polytechneiou 9, 15780, Athens, Greece
³ Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, 11527, Athens, Greece
⁴ National Observatory of Athens, Lofos Nymphon, Thissio, PO Box 20048, 11810, Athens, Greece
⁵ Institute of Systems Science, Durban University of Technology, Durban, 4000, Republic of South Africa

^* e-mail: yiannis.papayiannopoulos@gmail.com

Received: 27 November 2019
Accepted: 30 December 2019
Published online: 23 January 2020

Abstract

We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis we investigate the existence and the stability of cosmological solutions which describe de-Sitter, radiation and matter dominated eras. We find several cases of varying vacuum models that admit stable critical points, hence they can be used in describing the cosmic history.