Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order - INSPIRE

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Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order

Jibril Ben Achour
(
- Fudan U.
)
,
Marco Crisostomi
(
- Portsmouth U., ICG
)
,
Kazuya Koyama
(
- Portsmouth U., ICG
)
,
David Langlois
(
- APC, Paris
)
,
Karim Noui
(
- APC, Paris and
- Tours U., CNRS
)

Aug 29, 2016

29 pages

Published in:

JHEP 12 (2016) 100

Published: Dec 20, 2016

e-Print:

1608.08135 [hep-th]

DOI:

10.1007/JHEP12(2016)100

View in:

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Abstract: (arXiv)

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 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.

Note:

29 pages, published version

Classical Theories of Gravity
Cosmology of Theories beyond the SM
field equations: higher-order
field theory: scalar
scalar tensor
stability
conformal

References(33)

Figures(0)

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