304 citations · 2.8k across the 107 of their papers we have counts for
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gr-qc2013★ 50 cited
Dynamical complexity of the Brans-Dicke cosmology
Orest Hrycyna, Marek Szydlowski
The dynamics of the Brans-Dicke theory with a quadratic scalar field potential function and barotropic matter is investigated. The dynamical system methods are used to reveal compl…
gr-qc2013★ 19 cited
Scalar Field Cosmology -- Geometry of Dynamics
Marek Szydlowski, Orest Hrycyna, Aleksander Stachowski
We study the Scalar Field Cosmology (SFC) using the geometric language of the phase space. We define and study an ensemble of dynamical systems as a Banach space with a Sobolev met…
gr-qc2013★ 13 cited
Cosmology with a decaying vacuum
K. Urbanowski, M. Szydlowski
Properties of unstable false vacuum states are analyzed from the point of view of the quantum theory of unstable states. Some of false vacuum states survive up to times when their…