Phenomenological Reconstruction of $f(T)$ Teleparallel Gravity

Abstract

We present a novel reconstruction method of $f(T)$ teleparallel gravity from phenomenological parameterizations of the deceleration parameter or other alternatives. This can be used as a toolkit to produce viable modified gravity scenarios directly related to cosmological observations. We test two parameterizations of the deceleration parameter considered in recent literatures in addition to one parametrization of the effective (total) equation of state (EoS) of the universe. We use the asymptotic behaviour of the matter density parameter as an extra constraint to identify the viable range of the model parameters. One of the tested models shows how tiny modification can produce viable cosmic scenarios quantitatively similar to $\Lambda$CDM but qualitatively different whereas the dark energy (DE) sector becomes dynamical and fully explained by modified gravity not by a cosmological constant.

arXiv comment16 pages, 6 figures and 3 tables. Published in Physical Review D

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Cited by in corpus (13)

• Teleparallel Gravity: From Theory to Cosmology
• Paramerization of deceleration parameter in $f(Q)$ gravity
• Stability of motion and thermodynamics in charged black holes in $f(T)$ gravity
• Deflection angle and lensing signature of covariant f(T) gravity
• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
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• Quintessence like behavior of symmetric teleparallel dark energy: Linear and nonlinear model