TY - JOUR

T1 - Slow-roll inflation in generalized scalar-torsion gravity

AU - Gonzalez-Espinoza, Manuel

AU - Otalora, Giovanni

AU - Videla, Nelson

AU - Saavedra, Joel

N1 - Publisher Copyright:
© 2019 IOP Publishing Ltd and Sissa Medialab.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/8/22

Y1 - 2019/8/22

N2 - We study the dynamics of inflation in a generalized scalar-torsion gravity scenario by assuming a canonical scalar field non-minimally coupled to torsion with a Galileon-type self-interaction. After obtaining the field equations for a flat FRW background, we derive the second order action for both scalar and tensor perturbations to compute the power spectra of primordial fluctuations. As particular models, we studied at first, a power-law form of coupling function F(x)=1+ξ x2/2, with x≡ φ/Mpl, and a monomial scalar field potential V(x)=λ xn/n which is ruled out by current observational data for no 2. Under slow-roll approximation we obtain analytical expressions for the background as well as perturbative dynamics, and we show that the predictions of the model are consistent with current Planck 2018 constraints on the spectral index ns and the tensor-to-scalar ratio r through the ns-r plane. Accordingly, this model is in agreement with current observational bounds only within the 95% C.L. region in the case of chaotic quadratic inflation (n=2), whereas that for the other monomial potentials such as n=4/3, n=1 and n=2/3, it is found that they are even more favoured, overlapping their results with the 68% C.L. region from last Planck data. Secondly, we studied a model in which the presence of both non-minimal coupling to gravity and the Galileon non-linear self-interaction γ ( φ)2 □φ leads to a suppression of the tensor-to-scalar ratio compared to those predicted in the standard scenario, then predicting 0.024≲ r≲ 0.069. This result allows us to reconcile chaotic quadratic inflation with current Planck data up to the 68% C.L. region. In despite of this, next generation CMB experiments such as BICEP3 or LiteBIRD are expected to put stronger constraints, making possible to either support this model or rule it out.

AB - We study the dynamics of inflation in a generalized scalar-torsion gravity scenario by assuming a canonical scalar field non-minimally coupled to torsion with a Galileon-type self-interaction. After obtaining the field equations for a flat FRW background, we derive the second order action for both scalar and tensor perturbations to compute the power spectra of primordial fluctuations. As particular models, we studied at first, a power-law form of coupling function F(x)=1+ξ x2/2, with x≡ φ/Mpl, and a monomial scalar field potential V(x)=λ xn/n which is ruled out by current observational data for no 2. Under slow-roll approximation we obtain analytical expressions for the background as well as perturbative dynamics, and we show that the predictions of the model are consistent with current Planck 2018 constraints on the spectral index ns and the tensor-to-scalar ratio r through the ns-r plane. Accordingly, this model is in agreement with current observational bounds only within the 95% C.L. region in the case of chaotic quadratic inflation (n=2), whereas that for the other monomial potentials such as n=4/3, n=1 and n=2/3, it is found that they are even more favoured, overlapping their results with the 68% C.L. region from last Planck data. Secondly, we studied a model in which the presence of both non-minimal coupling to gravity and the Galileon non-linear self-interaction γ ( φ)2 □φ leads to a suppression of the tensor-to-scalar ratio compared to those predicted in the standard scenario, then predicting 0.024≲ r≲ 0.069. This result allows us to reconcile chaotic quadratic inflation with current Planck data up to the 68% C.L. region. In despite of this, next generation CMB experiments such as BICEP3 or LiteBIRD are expected to put stronger constraints, making possible to either support this model or rule it out.

KW - inflation

KW - modified gravity

KW - physics of the early universe

UR - http://www.scopus.com/inward/record.url?scp=85072112607&partnerID=8YFLogxK

U2 - 10.1088/1475-7516/2019/08/029

DO - 10.1088/1475-7516/2019/08/029

M3 - Article

AN - SCOPUS:85072112607

SN - 1475-7516

VL - 2019

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

IS - 8

M1 - 029

ER -