Reconstructing inflation in scalar-torsion f(T, ϕ) gravity

Manuel Gonzalez-Espinoza, Ramón Herrera, Giovanni Otalora, Joel Saavedra

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

6 Citas (Scopus)

Resumen

It is investigated the reconstruction during the slow-roll inflation in the most general class of scalar-torsion theories whose Lagrangian density is an arbitrary function f(T, ϕ) of the torsion scalar T of teleparallel gravity and the inflaton ϕ. For the class of theories with Lagrangian density f(T,ϕ)=-Mpl2T/2-G(T)F(ϕ)-V(ϕ), with G(T) ∼ Ts+1 and the power s as constant, we consider a reconstruction scheme for determining both the non-minimal coupling function F(ϕ) and the scalar potential V(ϕ) through the parametrization (or attractor) of the scalar spectral index ns(N) and the tensor-to-scalar ratio r(N) as functions of the number of e- folds N. As specific examples, we analyze the attractors ns- 1 ∝ 1 / N and r∝ 1 / N, as well as the case r∝ 1 / N(N+ γ) with γ a dimensionless constant. In this sense and depending on the attractors considered, we obtain different expressions for the function F(ϕ) and the potential V(ϕ) , as also the constraints on the parameters present in our model and its reconstruction.

Idioma originalInglés
Número de artículo731
PublicaciónEuropean Physical Journal C
Volumen81
N.º8
DOI
EstadoPublicada - ago. 2021
Publicado de forma externa

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