A new type of second-order cosmological Lagrangians

P. Tretyakov1

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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