50 citations · 262 across the 15 of their papers we have counts for
15 papers
From quantum unstable systems to the decaying dark energy: Cosmological implications
Aleksander Stachowski, Marek Szydlowski, Krzysztof Urbanowski
We consider a cosmology with decaying metastable dark energy and assume that a decay process of this metastable dark energy is a quantum decay process. Such an assumption implies a…
Polynomial Palatini cosmology -- dynamical system approach
Marek Szydlowski, Aleksander Stachowski
We investigate cosmological dynamics based on gravity in the Palatini formulation. In this study we use the dynamical system methods. We show that the evolution of the Fried…
Simple cosmological model with inflation and late times acceleration
Marek Szydlowski, Aleksander Stachowski
In the framework of polynomial Palatini cosmology, we investigate a simple cosmological homogeneous and isotropic model with matter in the Einstein frame. We show that in this mode…
Emergence of dynamical dark energy from polynomial theory in Palatini formalism
Marek Szydlowski, Aleksander Stachowski, Andrzej Borowiec
We consider FRW cosmology in modified framework. The Palatini approach reduces its dynamics to the simple generalization of Friedmann equation. Thus we study t…
Is a pole type singularity an alternative to inflation?
Marek Szydlowski, Aleksander Stachowski
In this paper, we apply a method of reducing the dynamics of FRW cosmological models with the barotropic form of the equation of state to the dynamical system of the Newtonian type…
Quantum mechanical look at the radioactive-like decay of metastable dark energy
Marek Szydlowski, Aleksander Stachowski, Krzysztof Urbanowski
We derive the Shafieloo, Hazra, Sahni and Starobinsky (SHSS) phenomenological formula for the radioactive-like decay of metastable dark energy directly from the quantum mechanics p…
Cosmological implications of the transition from the false vacuum to the true vacuum state
Aleksander Stachowski, Marek Szydlowski, Krzysztof Urbanowski
We study the cosmology with the running dark energy. The parametrization of dark energy with the respect to the redshift is derived from the first principles of quantum mechanics.…
Starobinsky cosmological model in Palatini formalism
Aleksander Stachowski, Marek Szydlowski, Andrzej Borowiec
We classify singularities in FRW cosmologies, which dynamics can be reduced to the dynamical system of the Newtonian type. This classification is performed in terms of geometry of…
Does the diffusion DM-DE interaction model solve cosmological puzzles?
Marek Szydlowski, Aleksander Stachowski
We study dynamics of cosmological models with diffusion effects modeling dark matter and dark energy interactions. We show the simple model with diffusion between the cosmological…
Dynamics of the diffusive DM-DE interaction--dynamical system approach
Zbigniew Haba, Aleksander Stachowski, Marek Szydlowski
We discuss dynamics of a model of an energy transfer between dark energy (DE) and dark matter (DM). The energy transfer is determined by a non-conservation law resulting from a dif…
Dynamical system approach to running cosmological models
Aleksander Stachowski, Marek Szydlowski
We discussed the dynamics of cosmological models in which the cosmological constant term is a time dependent function through the scale factor , Hubble function , Ricci…
Do sewn singularities falsify the Palatini cosmology?
Marek Szydlowski, Aleksander Stachowski, Andrzej Borowiec +1
We investigate further (cf. arXiv:1512.01199, JCAP01 (2016) 040) Starobinsky cosmological model in the Palatini formalism with Chaplygin gas and baryonic matter as a sourc…
Cosmological models with running cosmological term and decaying dark matter
Marek Szydlowski, Aleksander Stachowski
We investigate the dynamics of the generalized CDM model, which the term is running with the cosmological time. The term emerges from the covariant theory of the scal…
Cosmology with a Decaying Vacuum Energy Parametrization Derived from Quantum Mechanics
Marek Szydlowski, Aleksander Stachowski, Krzysztof Urbanowski
Within the quantum mechanical treatment of the decay problem one finds that at late times the survival probability of an unstable state cannot have the form of an exponentially…
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…