Dynamical analysis approaches in spatially curved FRW spacetimes

0539440 - ASÚ 2022 RIV CZ eng C - Conference Paper (international conference)
Kerachian, M. - Acquaviva, G. - Lukes-Gerakopoulos, Georgios
Dynamical analysis approaches in spatially curved FRW spacetimes.
Proceedings of RAGtime 20/22: Workshops on black holes and neutron stars. Opava: Silesian University, 2020, s. 133-143. ISBN 978-80-7510-433-5. E-ISSN 2336-5676.
[RAGtime /20.-22./. Opava (CZ), 15.10.2018-19.10.2018]
Institutional support: RVO:67985815
Keywords : gravitation * cosmology * dynamical systems
OECD category: Astronomy (including astrophysics,space science)
http://proceedings.physics.cz/images/proc21/ker.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0317184