57 citations · 152 across the 9 of their papers we have counts for
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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…
Testing and selection of cosmological models with corrections
Marek Szydlowski, Wlodzimierz Godlowski, Tomasz Stachowiak
In the paper we check whether the contribution of type in the Friedmann equation can be tested. We consider some astronomical tests to constrain the density parameters…
Global dynamics of cosmological scalar fields -- Part II
Andrzej J. Maciejewski, Maria Przybylska, Tomasz Stachowiak +1
This is the second part of integrability analysis of cosmological models with scalar fields. Here, we study systems with conformal coupling, and show that apart from four cases, wh…
Global dynamics of cosmological scalar fields -- Part I
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…
Exact solutions in bouncing cosmology
Tomasz Stachowiak, Marek Szydlowski
We discuss the effects of a (possibly) negative type contribution to the Friedmann equation. No definite answer can be given as to the presence and magnitude of a particu…
Non-integrability of density perturbations in the FRW universe
Tomasz Stachowiak, Marek Szydlowski, Andrzej J. Maciejewski
We investigate the evolution equation of linear density perturbations in the Friedmann-Robertson-Walker universe with matter, radiation and the cosmological constant. The concept o…