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A. Riess et al, Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
2003
Earlier work this paper cites.
J. Plebanski and A. Krasinski, An Introduction to General Relativity and Cosmology
2006
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Rafael Ferraro and Franco Fiorini, Modified teleparallel gravity: Inflation without inflaton
2007
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S. Capozziello, A. Stabile and A. Troisi, Spherical symmetry in f ⁡ ( R ¯ ) f(\bar{R}) -gravity
Original
2008
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S. Nojiri, S.D. Odintsov, Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
Original
2010
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Guido Cognola, Emilio Elizalde, Shin’ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini, Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
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2010
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2015

Generalized Teleparallel Theory

Junior, Ednaldo L. B., Rodrigues, Manuel E.

Understand

We construct a theory in which the gravitational interaction is described only by torsion, but that generalizes the Teleparallel Theory still keeping the invariance of local Lorentz transformations in one particular case.

We show that our theory falls, to a certain limit of a real parameter, in the $f(\bar{R})$ Gravity or, to another limit of the same real parameter, in a modified $f(T)$ Gravity, interpolating between these two theories and still can fall on several other theories.
We explicitly show the equivalence with $f(\bar{R})$ Gravity for cases of Friedmann-Lemaitre-Robertson-Walker flat metric for diagonal tetrads, and a metric with spherical symmetry for diagonal and non-diagonal tetrads.
We do still four applications, one in the reconstruction of the de Sitter universe cosmological model, for obtaining a static spherically symmetric solution type-de Sitter for a perfect fluid, for evolution of the state parameter $\omega_{DE}$ and for the thermodynamics to the apparent horizon.