Original title:
Dynamical analysis approaches in spatially curved FRW spacetimes
Authors:
Kerachian, M. ; Acquaviva, G. ; Lukes-Gerakopoulos, Georgios Document type: Papers Conference/Event: RAGtime /20.-22./, Opava (CZ), 20181015
Year:
2020
Language:
eng Abstract:
We summarize two agnostic approaches in the framework of spatially curved Friedmann-Robertson-Walker (FRW) cosmologies discussed in detail in (Kerachian et al., 2020, 2019). The first case concerns the dynamics of a fluid with an unspecified barotropic equation of state (EoS), for which the only assumption made is the non-negativity of the fluid’s energy density. The second case concerns the dynamics of a non-minimally coupled real scalar field with unspecified positive potential. For each of these models, we define a new set of dimensionless variables and a new evolution parameter. In the framework of these agnostic setups, we are able to identify several general features, like symmetries, invariant subsetsand critical points, and provide their cosmological interpretation.
Keywords:
cosmology; dynamical systems; gravitation Host item entry: Proceedings of RAGtime 20/22: Workshops on black holes and neutron stars, ISBN 978-80-7510-433-5