304 citations · 2.8k across the 107 of their papers we have counts for
12 papers · 1 filter
Non-minimally coupled scalar field cosmology on the phase plane
Orest Hrycyna, Marek Szydlowski
In this publication we investigate dynamics of a flat FRW cosmological model with a non-minimally coupled scalar field with the coupling term in the scalar field action.…
Bayesian analysis of the backreaction models
Aleksandra Kurek, Krzysztof Bolejko, Marek Szydlowski
We present the Bayesian analysis of four different types of backreation models, which are based on the Buchert equations. In this approach, one considers a solution to the Einstein…
Scalar field cosmology in the energy phase-space -- unified description of dynamics
Marek Szydlowski, Orest Hrycyna
In this letter we apply dynamical system methods to study all evolutional paths admissible for all initial conditions of the FRW cosmological model with a non-minimally coupled to…
Topological quantum numbers and curvature -- examples and applications
Jerzy Szczesny, Marek Biesiada, Marek Szydlowski
Using the idea of the degree of a smooth mapping between two manifolds of the same dimension we present here the topological (homotopical) classification of the mappings between sp…
From model dynamics to oscillating dark energy parameterisation
Aleksandra Kurek, Orest Hrycyna, Marek Szydlowski
We develop here a relatively simple description of dark energy based on the dynamics of non-minimally coupled to gravity phantom scalar field which, in limit, corresponds to cosmol…
Dynamical Emergence of FRW Cosmological Models
Marek Szydlowski, Pawel Tambor
Recent astronomical observations strongly indicate that the current Universe is undergoing an accelerated phase of expansion. The discovery of this fact was unexpected and resulted…
Effects of the quantisation ambiguities on the Big Bounce dynamics
Orest Hrycyna, Jakub Mielczarek, Marek Szydlowski
In this paper we investigate dynamics of the modified loop quantum cosmology models using dynamical systems methods. Modifications considered come from the choice of the different…
Global integrability of cosmological scalar fields
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
We investigate the Liouvillian integrability of Hamiltonian systems describing a universe filled with a scalar field (possibly complex). The tool used is the differential Galois gr…
Universe from vacuum in loop-string cosmology
Jakub Mielczarek, Marek Szydlowski
In this paper we study the description of the Universe based on the low energy superstring theory modified by the Loop Quantum Gravity effects.This approach was proposed by De Risi…
Exact solutions for Big Bounce in loop quantum cosmology
Jakub Mielczarek, Tomasz Stachowiak, Marek Szydlowski
In this paper we study the flat (k=0) cosmological FRW model with holonomy corrections of Loop Quantum Gravity. The considered universe contains a massless scalar field and the cos…
Emerging singularities in the bouncing loop cosmology
Jakub Mielczarek, Marek Szydlowski
In this paper we calculate corrections from holonomies in the Loop Quantum Gravity, usually not taken into account. Allowance of the corrections of this kind is…
AIC, BIC, Bayesian evidence against the interacting dark energy model
Marek Szydlowski, Adam Krawiec, Aleksandra Kurek +1
Recent astronomical observations have indicated that the Universe is in the phase of accelerated expansion. While there are many cosmological models which try to explain this pheno…