Disformal Transformations in Scalar-Torsion Gravity

Abstract

We study disformal transformations in the context of scalar extensions to teleparallel gravity, in which the gravitational interaction is mediated by the torsion of a flat, metric compatible connection. We find a generic class of scalar-torsion actions which is invariant under disformal transformations, and which possesses different invariant subclasses. For the most simple of these subclasses we explicitly derive all terms that may appear in the action. We propose to study actions from this class as possible teleparallel analogues of healthy beyond Horndeski theories.

LaTeX, 11 pages. Contribution to the proceedings of the conference "Teleparallel Universes" in Salamanca 26-28 November 2018; published version

References in corpus (10)

• Healthy theories beyond Horndeski
• Horndeski theory and beyond: a review
• Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
• Conformal transformation in $f(T)$ theories
• Unifying framework for scalar-tensor theories of gravity
• Can Horndeski Theory be recast using Teleparallel Gravity?
• Third order equations of motion and the Ostrogradsky instability
• Invariant quantities in the scalar-tensor theories of gravitation
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Space-time deformations as extended conformal transformations

Cited by in corpus (15)

• Teleparallel Gravity: From Theory to Cosmology
• Minkowski space in $f(T)$ gravity
• Post-Newtonian limit of Teleparallel Horndeski gravity
• Parameterized post-Newtonian limit of general teleparallel gravity theories
• Testing the violation of the equivalence principle in the electromagnetic sector and its consequences in $f(T)$ gravity
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Post-Newtonian limit of generalized scalar-torsion theories of gravity
• Flat connection for rotating vacuum spacetimes in extended teleparallel gravity theories
• Disformal transformations in modified teleparallel gravity
• Scale-invariant cosmology in de Sitter gauge theory
• Teleparallel bigravity
• Hidden symmetries from distortions of the conformal structure
• Field transformations and invariant quantities in scalar-teleparallel theories of gravity
• The description of gravitational waves in geometric scalar gravity
• A study on the Friedmann like Universe with Torsion using Noether Symmetry