https://doi.org/10.1140/epjc/s10052-019-7031-x
Regular Article - Theoretical Physics
Deformed Starobinsky model in gravity’s rainbow
1
College of Graduate Studies, Walailak University, Thasala, Nakhon Si Thammarat, 80160, Thailand
2
School of Science, Walailak University, Thasala, Nakhon Si Thammarat, 80160, Thailand
3
Thailand Center of Excellence in Physics, Ministry of Education, Bangkok, 10400, Thailand
* e-mail: channuie@gmail.com
Received:
12
March
2019
Accepted:
9
June
2019
Published online:
15
June
2019
In the context of gravity’s rainbow, we study the deformed Starobinsky model in which the deformations take the form 
, with R and 
being the Ricci scalar and a positive parameter, respectively. We show that the spectral index of curvature perturbation and the tensor-to-scalar ratio can be written in terms of 
and , with N being the number of e-foldings, 
a rainbow parameter. We compare the predictions of our models with Planck data. With the sizeable number of e-foldings and proper choices of parameters, we discover that the predictions of the model are in excellent agreement with the Planck analysis. Interestingly, we obtain the upper limit and the lower limit of a rainbow parameter and a positive constant , respectively.
© The Author(s), 2019
