304 citations · 2.8k across the 107 of their papers we have counts for
9 papers · 1 filter
Dynamics of the Universe with global rotation
Wlodzimierz Godlowski, Marek Szydlowski
We analyze dynamics of the FRW models with global rotation in terms of dynamical system methods. We reduce dynamics of these models to the FRW models with some fictitious fluid whi…
Group analysis of structure equations for stars in radiative and convective equilibrium
Marek Szydlowski, Andrzej J. Maciejewski
It is proposed to use the Lie group theory of symmetries of differential equations to investigate the system of equations describing a static star in a radiative and convective equ…
Transition redshift from the V-reconstruction method
Wojciech Czaja, Marek Szydlowski, Adam Krawiec
We show the effectiveness of using the procedure of the potential reconstruction (the V-method) in the estimation of the transition redshift corresponding to switch from decelerati…
Rotation of the Universe and the angular momenta of celestial bodies
Wlodzimierz Godlowski, Marek Szydlowski, Piotr Flin +1
We discuss the equation of motion of the rotating homogenous and isotropic model of the Universe. We show that the model predicts the presence of a minimum in the relation between…
Brane Universes Tested by Supernovae Ia
Wlodzimierz Godlowski, Marek Szydlowski
We discuss observational constrains coming from supernovae Ia imposed on the behaviour of the Randall-Sundrum models. In the case of dust matter on the brane, the difference betwee…
Can the Stephani model be an alternative to FRW accelerating models?
Wlodzimierz Godlowski, Jerzy Stelmach, Marek Szydlowski
A class of Stephani cosmological models as a prototype of non-homogeneous universe is considered. The non-homogeneity can lead to accelerated evolution which is now observed from t…
Generalized Chaplygin Gas Models tested with SNIa
Marek Biesiada, Wlodzimierz Godlowski, Marek Szydlowski
The so called Generalized Chaplygin Gas (GCG) with the equation of state was recently proposed as a candidate for dark energy in the Universe. In this paper w…
Modified Friedmann Cosmologies - theory & observations
Marek Szydlowski, Wojciech Czaja
We investigate a class of Cardassian scenarios of the universe evolution in notions of the qualitative theory of dynamical systems. This theory allows us to analyze all solutions f…
Phantom cosmology as a simple model with dynamical complexity
Marek Szydlowski, Adam Krawiec, Wojciech Czaja
We study the Friedmann-Robertson-Walker model with phantom fields modelled in terms of scalar fields. We apply the Ziglin theory of integrability and find that the flat model is no…