Global dynamics of interacting monomial scalar field potentials and perfect fluids

Online | | 15:00

Vítor Bessa

Faculdade de Ciências da Universidade do Porto

CMAT, Universidade do Minho

CAMGSD, Instituto Superior Técnico 


Motivated by cosmological models of the early universe we analyze the dynamics of the Einstein equations with a minimally coupled scalar field with monomial potentials $V(\phi)\sim \phi^{2n}$, $n\in\mathbb{N}$, interacting with a perfect fluid with linear equation of state in flat Robertson-Walker spacetimes. The interaction is a friction-like term of the form $\Gamma(\phi)\sim \phi^{2p}$, $p\in\mathbb{N}_0$.
We perform a global dynamical analysis of the model and provide a detailed description of the future and past asymptotics. The analysis relies on the introduction of a new regular dynamical systems formulation of the Einstein equations on a compact state space and the use of dynamical systems tools such as averaging methods involving a time-dependent perturbation parameter. 


Zoom link

Research Groups