RT journal article
T1 Adaptive asymptotic solutions of infationary models in the Hamilton-Jacobi formalism: application to T-models
A1 Medina Reus, Elena Blanca
A1 Álvarez Galindo, Gabriel
A2 Matemáticas
K1 Cosmology of Theories BSM
K1 Cosmological models
K1 Supergravity Models
AB We develop a method to compute the slow-roll expansion for the Hubble parameterin infationary models in a fat Friedmann-Lemaître-Robertson-Walker spacetime that isapplicable to a wide class of potentials including monomial, polynomial, or rational functionsof the infaton, as well as polynomial or rational functions of the exponential of the infaton.The method, formulated within the Hamilton-Jacobi formalism, adapts the form of the slow roll expansion to the analytic form of the infationary potential, thus allowing a consistentorder-by-order computation amenable to Padé summation. Using T-models as an example, weshow that Padé summation extends the domain of validity of this adapted slow-roll expansionto the end of infation. Likewise, Padé summation extends the domain of validity of kinetic dominance asymptotic expansions of the Hubble parameter into the fast-roll regime, wherethey can be matched to the aforesaid Padé-summed slow-roll expansions. This matching inturn determines the relation between the expansions for the number N of e-folds and allowsus to compute the total amount of infation as a function of the initial data or, conversely, toselect initial data that correspond to a fxed total amount of infation. Using the slow-rollstage expansions, we also derive expansions for the corresponding spectral index ns accurateto order 1/N^2, and tensor-to-scalar ratio r accurate to order 1/N^3 for these T-models.
PB Springer
SN 1029-8479
YR 2024
FD 2024-10-02
LK http://hdl.handle.net/10498/33513
UL http://hdl.handle.net/10498/33513
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026