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  1. link.springer.com

    We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field, and that are degenerate, hence avoiding Ostrogradsky instabilities. Thanks to the existence of constraints, they propagate no more than three degrees of freedom, despite having higher order equations of motion. We also determine the viable combinations of previously identified quadratic degenerate ...
    Author:Jibril Ben Achour, Marco Crisostomi, Kazuya Koyama, David Langlois, Karim Noui, Karim Noui, Gianmass...Published:2016
  2. link.springer.com

    despite having higher order equations of motion. We also determine the viable combina-tions of previously identified quadratic degenerate Lagrangians and the newly established cubic ones. Finally, we study whether the new theories are connected to known scalar-tensor theories such as Horndeski and beyond Horndeski, through conformal or disformal
    Author:Jibril Ben Achour, Marco Crisostomi, Kazuya Koyama, David Langlois, Karim Noui, Karim Noui, Gianmass...Published:2016
  3. This contribution reviews scalar-tensor theories whose Lagrangian contains second-order derivatives of a scalar field but nevertheless propagate only one scalar mode (in addition to the usual two tensor modes), and are thus not plagued with the Ostrodradsky instability. These theories, which encompass the so-called Horndeski and Beyond Horndeski theories, have recently been fully classified up ...
    Author:David LangloisPublished:2017
  4. researchgate.net

    Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order J. Ben Achour, 1 M. Crisostomi, 2 K. Koy ama, 2 D. Langlois, 3 K. Noui, 4, 3 and G. T asinato 5
  5. researchportal.port.ac.uk

    We also determine the viable combinations of previously identified quadratic degenerate Lagrangians and the newly established cubic ones. Finally, we study whether the new theories are connected to known scalar-tensor theories such as Horndeski and beyond Horndeski, through conformal or disformal transformations.
    Author:Jibril Ben Achour, Marco Crisostomi, Kazuya Koyama, David Langlois, Karim Noui, Karim Noui, Gianmass...Published:2016
  6. researchgate.net

    A higher order scalar tensor theory generically contains four degrees of freedom, includin g the Ostrogradski ghost. As w e proposed in [7], a systematic way to identify scalar-tensor theories
  7. en.wikipedia.org

    Degenerate Higher-Order Scalar-Tensor theories (or DHOST theories) are theories of modified gravity.They have a Lagrangian containing second-order derivatives of a scalar field but do not generate ghosts (kinetic excitations with negative kinetic energy), because they only contain one propagating scalar mode (as well as the two usual tensor modes). [1] [2]
  8. We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field, and that are degenerate, hence avoiding Ostrogradsky instabilities. Thanks to the existence of constraints, they propagate no more than three degrees of freedom, despite having higher order equations of motion. We also determine the viable combinations of previously identified quadratic degenerate ...
  9. 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 Ostrogradski instability, include the quartic Horndenski Lagrangian as well as its quartic extension beyond Horndeski, but also other families of Lagrangians. We ...
  10. researchgate.net

    Request PDF | Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order | We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field ...

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