RT journal article
T1 Separatrices in the Hamilton–Jacobi formalism of inflaton models
A1 Álvarez, Gabriel
A1 Martínez Alonso, Luis
A1 Medina Reus, Elena Blanca
A1 Vázquez, Juan Luis
A2 Matemáticas
AB We consider separatrix solutions of the differential equations for inflaton models with a single scalar field in a zero-curvature Friedmann–Lemaître–Robertson–Walker universe. The existence and properties of separatrices are investigated in the framework of the Hamilton–Jacobi formalism, where the main quantity is the Hubble parameter considered as a function of the inflaton field. A wide class of inflaton models that have separatrix solutions (and include many of the most physically relevant potentials) is introduced, and the properties of the corresponding separatrices are investigated, in particular, asymptotic inflationary stages, leading approximations to the separatrices, and full asymptoticexpansions thereof. We also prove an optimal growth criterion for potentials that do not have separatrices.
SN 0022-2488
YR 2020
FD 2020-04-07
LK http://hdl.handle.net/10498/26627
UL http://hdl.handle.net/10498/26627
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026