Cosmological flows on hyperbolic surfaces
Elena Mirela Babalic, Calin Iuliu Lazaroiu

TL;DR
This paper explores the geometric formulation of cosmological flows in FLRW models with scalar fields, emphasizing hyperbolic surfaces and numerical analysis insights into their dynamics.
Contribution
It introduces a geometric approach to cosmological flows on hyperbolic surfaces, combining dynamical systems theory with numerical analysis for infinite-area scalar manifolds.
Findings
Numerical analysis of hyperbolic scalar manifolds
Insights into cosmological flow behavior on hyperbolic surfaces
Application of geometric dynamical systems methods
Abstract
We outline the geometric formulation of cosmological flows for FLRW models with scalar matter as well as certain aspects which arise in their study with methods originating from the geometric theory of dynamical systems. We briefly summarize certain results of numerical analysis which we carried out when the scalar manifold of the model is a hyperbolic surface of infinite area.
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