Constant-roll Inflation in f(T)f(T) Teleparallel Gravity

Sep 28, 2017
22 pages
Published in:
  • JCAP 07 (2018) 026
  • Published: Jul 13, 2018
e-Print:

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Abstract: (IOP)
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.
Note:
  • 29 pages, published in JCAP
  • gravitation: teleparallel
  • gravitation: f(T)
  • cosmological model
  • field theory: scalar
  • inflation
  • Hubble constant
  • phase space
  • fixed point
  • trajectory