Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field

Do, Tuan Q.; Dong, Phung V.; Nguyen, Duy H.; Singh, J.K.

Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field

Feb 12, 2025

30 pages

e-Print:

2502.10462 [gr-qc]

View in:

ADS Abstract Service

pdf

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

In this paper, we would like to examine whether the Sáez-Ballester theory admits stable and attractive Bianchi type I inflationary solutions in the presence of a non-minimal coupling between scalar and vector fields such as

f^2(\phi)F_{\mu\nu}F^{\mu\nu}

. As a result, such a solution will be shown to exist within this theory for a suitable setup of fields. However, the corresponding tensor-to-scalar ratio of this solution turns out to be higher than the latest observational value of the Planck satellite (Planck 2018) due to the fact that

c_s

, the corresponding speed of sound of scalar perturbations of the Sáez-Ballester theory, turns out to be one. This result indicates an important hint that the speed of sound,

c_s

, could play an important role in making the corresponding non-canonical anisotropic inflation cosmologically viable in the light of the Planck 2018 data. To be more specific, we will point out that any modifications of the Sáez-Ballester theory having

c_s \sim 0.1

will have a great potential to be highly consistent with the Planck 2018 data.

Note:

30 pages, 5 figures. Comments are welcome

References(0)

Figures(5)

Loading ...