Generic inflationary and noninflationary behavior in toy-cosmology

Cristián Huepe, Marc Etienne Brachet*, Fabrice Debbasch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Cosmological solutions of a toy homogeneous isotropic universe filled with a superfluid Bose condensate described by a complex scalar field (with relativistic barotropic fluid interpretation) are studied. The eigenvalues of the tangent map for the resulting Hamiltonian system are used to classify the phase space regions and to understand the typical toy-universe evolution. After a transient, inflation is obtained in the hyperbolic (real eigenvalues) region. This new independent eigenvalue-based inflationary criterion is shown to be compatible and complementary to the standard slow roll-over conditions. For the later evolution of the toy-universe, a family of adiabatic trajectories oscillating about a conventional cosmology filled with a relativistic fluid is obtained once the system falls into the elliptic (imaginary eigenvalue) regions. The corresponding thermodynamic functions are computed.

Original languageEnglish (US)
Pages (from-to)20-36
Number of pages17
JournalPhysica D: Nonlinear Phenomena
Issue number1-2
StatePublished - Sep 15 2000


  • 05.30.Jp
  • 47.37.+q
  • 98.80.Cq
  • 98.80.Hw
  • Adiabatic invariance
  • Cosmology
  • Inflation
  • Superfluid

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


Dive into the research topics of 'Generic inflationary and noninflationary behavior in toy-cosmology'. Together they form a unique fingerprint.

Cite this