Bahamonde, S; Wright, M; (2015) Teleparallel quintessence with a nonminimal coupling to a boundary term. Physical Review D , 92 (8) , Article 084034. 10.1103/PhysRevD.92.084034.

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Abstract

We propose a new model in the teleparallel framework where we consider a scalar field nonminimally coupled to both the torsion T and a boundary term given by the divergence of the torsion vector B ¼ 2 e ∂μðeTμÞ. This is inspired by the relation R ¼ −T þ B between the Ricci scalar of general relativity and the torsion of teleparallel gravity. This theory in suitable limits incorporates both the nonminimal coupling of a scalar field to torsion, and the nonminimal coupling of a scalar field to the Ricci scalar. We analyze the cosmology of such models, and we perform a dynamical systems analysis on the case when we have only a pure coupling to the boundary term. It is found that the system generically evolves to a late time accelerating attractor solution without requiring any fine-tuning of the parameters. A dynamical crossing of the phantom barrier is also shown to be possible.

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