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Simple cosmological model with inflation and late times acceleration

, 30-348 Kraków , Poland 1 Astronomical Observatory, Jagiellonian University , Orla 171, 30-244 Kraków , Poland 2 , Aleksander Stachowski In the framework of polynomial Palatini cosmology, we

Quantum mechanical look at the radioactive-like decay of metastable dark energy

We derive the Shafieloo, Hazra, Sahni and Starobinsky (SHSS) phenomenological formula for the radioactive-like decay of metastable dark energy directly from the principles of quantum mechanics. To this aim we use the Fock–Krylov theory of quantum unstable states. We obtain deeper insight on the decay process as having three basic phases: the phase of radioactive decay, the next...

Emergence of running dark energy from polynomial f(R) theory in Palatini formalism

We consider FRW cosmology in \(f(R)= R+ \gamma R^2+\delta R^3\) modified framework. The Palatini approach reduces its dynamics to the simple generalization of Friedmann equation. Thus we study the dynamics in two-dimensional phase space with some details. After reformulation of the model in the Einstein frame, it reduces to the FRW cosmological model with a homogeneous scalar...

Starobinsky cosmological model in Palatini formalism

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 the geometry of a potential function if it has poles. At the sewn singularity, which is of a finite scale factor type, the singularity in the past meets the singularity in the future. We show that such...

Cosmological implications of the transition from the false vacuum to the true vacuum state

We study cosmology with running dark energy. The energy density of dark energy is obtained from the quantum process of transition from the false vacuum state to the true vacuum state. We use the Breit–Wigner energy distribution function to model the quantum unstable systems and obtain the energy density of the dark energy parametrization \(\rho _\text {de}(t)\). We also use...

Dynamical system approach to running \(\Lambda \) cosmological models

Eur. Phys. J. C Dynamical system approach to running cosmological models Aleksander Stachowski 1 Marek Szydłowski 0 1 0 Mark Kac Complex Systems Research Centre, Jagiellonian University , Ł

Do sewn up singularities falsify the Palatini cosmology?

We investigate further (cf. Borowiec et al. JCAP 1601(01):040, 2016) the Starobinsky cosmological model \(R+\gamma R^2\) in the Palatini formalism with a Chaplygin gas and baryonic matter as a source in the context of singularities. The dynamics reduces to the 2D sewn dynamical system of a Newtonian type (a piece-wise-smooth dynamical system). We demonstrate that the presence of...