Hal will be stopped for maintenance from friday on june 10 at 4pm until monday june 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations

Abstract : We consider all degenerate scalar-tensor theories that depend quadratically on second-order derivatives of a scalar field, which we have identified in a previous work. These theories, whose degeneracy, in general, ensures the absence of Ostrogradsky’s instability, include the quartic Horndeski Lagrangian and its quartic extension beyond Horndeski, as well as other Lagrangians. We study how all these theories transform under general disformal transformations and find that they can be separated into three main classes that are stable under these transformations. This leads to a complete classification modulo disformal transformations. Finally, we show that these higher order theories include mimetic gravity and some particular khronometric theories. They also contain theories that do not correspond, to our knowledge, to already studied theories, even up to disformal transformations.
Complete list of metadata

Contributor : Inspire Hep Connect in order to contact the contributor
Submitted on : Monday, July 3, 2017 - 5:39:55 PM
Last modification on : Thursday, April 7, 2022 - 1:58:23 PM

Links full text




Jibril Ben Achour, David Langlois, Karim Noui. Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations. Physical Review D, American Physical Society, 2016, 93 (12), pp.124005. ⟨10.1103/PhysRevD.93.124005⟩. ⟨hal-01554099⟩



Record views