Extended Scalar-Tensor Theories of Gravity

Abstract

We study new consistent scalar-tensor theories of gravity recently introduced by Langlois and Noui with potentially interesting cosmological applications. We derive the conditions for the existence of a primary constraint that prevents the propagation of an additional dangerous mode associated with higher order equations of motion. We then classify the most general, consistent scalar-tensor theories that are at most quadratic in the second derivatives of the scalar field. In addition, we investigate the possible connection between these theories and (beyond) Horndeski through conformal and disformal transformations. Finally, we point out that these theories can be associated with new operators in the effective field theory of dark energy, which might open up new possibilities to test dark energy models in future surveys.

15 pages, published version

References in corpus (8)

• Healthy theories beyond Horndeski
• Exploring gravitational theories beyond Horndeski
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• A unifying description of dark energy
• Unifying framework for scalar-tensor theories of gravity
• Horndeski: beyond, or not beyond?
• Hamiltonian analysis of spatially covariant gravity
• Hamiltonian structure of scalar-tensor theories beyond Horndeski

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