학술논문
Dynamical analysis approaches in spatially curved FRW spacetimes
Document Type
Working Paper
Source
Proceedings of RAGtime 20-22, 15-19 Oct., 16-20 Sept., 19-23 Oct., 2018/2019/2020, Opava, Czech Republic, Z. Stuchlik, G. Torok and V. Karas, editors, Silesian University in Opava, 2020, pp. 133-143
Subject
Language
Abstract
In this article, 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 subsets and critical points, and provide their cosmological interpretation.
Comment: 11 pages, 2 figures, 1 table
Comment: 11 pages, 2 figures, 1 table