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- W2236396095 abstract "We derive an exact $f(T)$ gravity from the lowest possible energy of the Friedmann-Robertson-Walker (FRW) universe, where $T$ is the teleparallel torsion scalar. We show that vanishing of the energy-momentum tensor $mathcal{T}^{mu nu}$ of matter does not imply vanishing of the teleparallel torsion scalar, in contrast to general relativity, where the Ricci scalar vanishes. The theory provides an exponential scale factor independent of the choice of the sectional curvature. In addition, the $f(T)$ acts just like cosmological constant in the flat space model. Nevertheless, it is dynamical in non-flat models. In particular, the open universe provides a decaying pattern of the $f(T)$ contributing directly to solve the fine-tuning problem of the cosmological constant. The equation of state (EoS) of the torsion vacuum fluid has been studied in positive and negative Hubble regimes. We study the case when the torsion potential is made of a scalar field, the treatment enables to induce a teleparallel scalar field sensitive to the symmetry of the spacetime in addition to reconstruction of an effective potential from the $f(T)$ theory. The vacuum theory provides six different versions of inflationary models. The real solutions are mainly quadratic, the complex solutions, remarkably, provide Higgs-like potential." @default.
- W2236396095 created "2016-06-24" @default.
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- W2236396095 date "2014-10-09" @default.
- W2236396095 modified "2023-09-27" @default.
- W2236396095 title "Reconstruction of $f(T)$ gravity from vacuum" @default.
- W2236396095 hasPublicationYear "2014" @default.
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