Cosmological flows on hyperbolic surfaces

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.

10 pages, conference proceedings

References in corpus (3)

• Generalized two-field $\alpha$-attractor models from geometrically finite hyperbolic surfaces
• Generalized two-field $\alpha$-attractors from the hyperbolic triply-punctured sphere
• Multifield Reheating after Modular $j$-Inflation

Cited by in corpus (6)

• Hidden symmetries of two-field cosmological models
• The infrared behavior of tame two-field cosmological models
• Dynamical renormalization and universality in classical multifield cosmological models
• Hesse manifolds and Hessian symmetries of multifield cosmological models
• Scaling behavior of observables as a model characteristic in multifield inflation
• Infrared behavior in tame hyperbolizable two-field models