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Communication Dans Un Congrès Année : 2020

A metric-affine version of the Horndeski theory

Résumé

We study the metric-affine versions of scalar-tensor theories whose connection enters the action only algebraically. We show that the connection can be integrated out, resulting in an equivalent metric theory. Specifically, we consider the metric-affine generalisations of the subset of the Horndeski theory whose action is linear in second derivatives of the scalar field. We determine the connection and find that it can describe a scalar-tensor Weyl geometry without a Riemannian frame. Still, as this connection enters the action algebraically, the theory admits the dynamically equivalent (pseudo)-Riemannian formulation in the form of an effective metric theory with an extra K-essence term. This may have interesting phenomenological applications.

Dates et versions

hal-02416895 , version 1 (17-12-2019)

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Thomas Helpin, Mikhail S. Volkov. A metric-affine version of the Horndeski theory. 10th Alexander Friedmann International Seminar on Gravitation and Cosmology and 4th Satellite Symposium on the Casimir Effect, Jun 2019, St.Petersburg, Russia. pp.2040010, ⟨10.1142/S0217751X20400102⟩. ⟨hal-02416895⟩
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