https://doi.org/10.1140/epjc/s10052-019-7229-y
Regular Article - Theoretical Physics
Dynamics of Einstein–Aether scalar field cosmology
1
Institute of Systems Science, Durban University of Technology, Durban, 4000, Republic of South Africa
2
Department of Astronomy-Astrophysics-Mechanics, Faculty of Physics, University of Athens, Panepistemiopolis, 157 83, Athens, Greece
3
Academy of Athens, Research Center for Astronomy and Applied Mathematics, Soranou Efesiou 4, 11527, Athens, Greece
4
National Observatory of Athens, Lofos Nymphon - Thissio, PO Box 20048, 11810, Athens, Greece
5
DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Rd., Cambridge, CB3 0WA, UK
* e-mail: anpaliat@phys.uoa.gr
Received:
10
June
2019
Accepted:
14
August
2019
Published online:
28
August
2019
We study the cosmological evolution of the field equations in the context of Einstein–Aether cosmology by including a scalar field in a spatially flat Friedmann–Lemaître–Robertson–Walker spacetime. Our analysis is separated into two separate where a pressureless fluid source is included or absent. In particular, we determine the critical points of the field equations and we study the stability of the specific solutions. The limit of general relativity is fully recovered, while the dynamical system admits de Sitter solutions which can describe the past inflationary era and the future late-time attractor. Results for generic scalar field potentials are presented while some numerical behaviours are given for specific potential forms.
© The Author(s), 2019
