COSMOLOGICAL FLOWS ON HYPERBOLIC SURFACES

Elena Mirela Babalic, Calin Iuliu Lazaroiu

DOI Number
https://doi.org/10.2298/FUPCT1901001B
First page
001
Last page
009

Abstract


We outline the geometric formulation of cosmological flows for FLRW models with the 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 the finite or infinite area.


Keywords

differential geometry, continuous dynamical systems, cosmology

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References


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