Abstract
We study a possible connection between two second-order theories of gravity, Galileon gravity and teleparallel gravity. By using the conformal transformation method, we construct from the third-order Galileon action some auxiliary action, which can be covariantly generalized only in theories with torsion. On this way we also obtain a new second-order phenomenological Lagrangian, which may be useful for cosmological applications and for construction of a new second-order theory of gravity.
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Tretyakov, P. A new type of second-order cosmological Lagrangians. Gravit. Cosmol. 19, 288–291 (2013). https://doi.org/10.1134/S0202289313040117
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DOI: https://doi.org/10.1134/S0202289313040117