Constant-roll Inflation in $f(T)$ Teleparallel Gravity
Abstract
We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel gravity. The resulting cosmological equations constitute a reconstruction technique which enables us to find either the gravity which corresponds to a given cosmological evolution, or the Hubble rate of the cosmological evolution generated by a fixed gravity. We also analyze in some detail the phase space of the constant-roll teleparallel gravity and we discuss the physical significance of the resulting fixed points and trajectories. Also we calculate the observational indices of a theory with given gravity, and we discuss all the implications of the constant-roll condition on these. As we demonstrate, the resulting theory can be compatible with the current observational data, for a wide range of values of the free parameters of the theory.
Keywords
Cite
@article{arxiv.1710.00682,
title = {Constant-roll Inflation in $f(T)$ Teleparallel Gravity},
author = {A. Awad and W. El Hanafy and G. G. L. Nashed and S. D. Odintsov and V. K. Oikonomou},
journal= {arXiv preprint arXiv:1710.00682},
year = {2018}
}
Comments
29 pages, published in JCAP