Van der Waals universe with adiabatic matter creation

Ivanov, Rossen I. (Aff1, School of Mathematical Sciences, Technological University Dublin, Kevin Street Campus, Dublin 8, Ireland) ; Prodanov, Emil M. (Aff1, School of Mathematical Sciences, Technological University Dublin, Kevin Street Campus, Dublin 8, Ireland)

06 February 2019

Abstract: A FRWL cosmological model with perfect fluid comprising of van der Waals gas and dust has been studied in the context of dynamical analysis of a three-component autonomous non-linear dynamical system for the particle number density n , the Hubble parameter H , and the temperature T . Perfect fluid isentropic particle creation at rate proportional to an integer power α of H has been incorporated. The existence of a global first integral allows the determination of the temperature evolution law and hence the reduction of the dynamical system to a two-component one. Special attention is paid to the cases of α=2 and α=4 and these are illustrated with numerical examples. The global dynamics is comprehensively studied for different choices of the values of the physical parameters of the model. Trajectories in the ( n ,  H ) phase space are identified for which temporary inflationary regime exists.


Published in: EPJC 79 (2019) 118
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-019-6611-0
License: CC-BY-3.0



Back to search

Fulltext:
Download fulltextXML Download fulltextPDF (PDFA)