#### Title

Constant-roll inflation in f(T) teleparallel gravity

#### Document Type

Article

#### Publication Date

7-13-2018

#### Abstract

© 2018 IOP Publishing Ltd and Sissa Medialab. We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel f(T) gravity. The resulting cosmological equations constitute a reconstruction technique which enables us to find either the f(T) gravity which corresponds to a given cosmological evolution, or the Hubble rate of the cosmological evolution generated by a fixed f(T) 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 f(T) 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.

#### Recommended Citation

Awad, A.; El Hanafy, W.; Nashed, G. G.L.; Odintsov, S. D.; and Oikonomou, V. K., "Constant-roll inflation in f(T) teleparallel gravity" (2018). *Centre for Theoretical Physics*. 33.

https://buescholar.bue.edu.eg/centre_theoretical_physics/33