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Mimetic f(T) teleparallel gravity and cosmology

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Abstract

We formulate mimetic theory in f(T) teleparallel gravity where T is torsion scalar. It is argued that the conformal degree of freedom in this teleparallel mimetic theory becomes dynamical and mimics the behavior of cold dark matter. We also show that it is possible to employ the Lagrange multipliers method to formulate the mimetic theory in an f(T) theory without any auxiliary metric. The mimetic f(T) theory is examined by the method of dynamical system and it is found that there are five fixed points representing inflation, radiation, matter, mimetic dark matter and dark energy dominated eras in the theory if some conditions are satisfied. We examined the power-law model and its phase trajectories with these conditions.

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Authors and Affiliations

  1. Department of Physics, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Behrouz Mirza & Fatemeh Oboudiat

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  1. Behrouz Mirza
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  2. Fatemeh Oboudiat
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Correspondence to Fatemeh Oboudiat.

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Mirza, B., Oboudiat, F. Mimetic f(T) teleparallel gravity and cosmology. Gen Relativ Gravit 51, 96 (2019). https://doi.org/10.1007/s10714-019-2576-4

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