RT journal article
T1 Asymptotic Solutions of a Generalized Starobinski Model: Kinetic Dominance, Slow Roll and Separatrices
A1 Medina Reus, Elena Blanca
A1 Martínez Alonso, Luis
A2 Matemáticas
K1 Starobinski model
K1 kinetic dominance
K1 slow roll
K1 psi series
K1 separatrices
AB We consider a generalized Starobinski inflationary model. We present a method for computing solutions as generalized asymptotic expansions, both in the kinetic dominance stage (psi series solutions) and in the slow roll stage (asymptotic expansions of the separatrix solutions). These asymptotic expansions are derived in the framework of the Hamilton-Jacobi formalism where the Hubble parameter is written as a function of the inflaton field. They are applied to determine the values of the inflaton field when the inflation period starts and ends as well as to estimate the corresponding amount of inflation. As a consequence, they can be used to select the appropriate initial conditions for determining a solution with a previously fixed amount of inflation.
PB MDPI
SN 2218-1997
YR 2021
FD 2021-12
LK http://hdl.handle.net/10498/26433
UL http://hdl.handle.net/10498/26433
LA eng
NO This research was funded by the Spanish Ministerio de Economia y Competitividad grant number PGC2018-094898-B-I00.
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026