The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
Open accessAbstract
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.
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Cites
Second-order scalar-tensor field equations in a four-dimensional space
Horndeski, G. W. (1974) · International Journal of Theoretical Physics · doi:10.1007/bf01807638 · Cited by 2,734
From k -essence to generalized Galileons
Deffayet, C., Gao, X., Steer, D. A., & Zahariade, G. (2011) · Physical Review D · doi:10.1103/physrevd.84.064039 · Cited by 1,105
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New Class of Consistent Scalar-Tensor Theories
Gleyzes, J., Langlois, D., Piazza, F., & Vernizzi, F. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.211101 · Cited by 740
Self-citationDegenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
Langlois, D., & Noui, K. (2016) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2016/02/034 · Cited by 653
Self-citationOstrogradsky's theorem on Hamiltonian instability
Woodard, R. (2015) · Scholarpedia · doi:10.4249/scholarpedia.32243 · Cited by 552
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Exploring gravitational theories beyond Horndeski
Gleyzes, J., Langlois, D., Piazza, F., & Vernizzi, F. (2015) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2015/02/018 · Cited by 466
Self-citationEssential building blocks of dark energy
Gleyzes, J., Langlois, D., Piazza, F., & Vernizzi, F. (2013) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2013/08/025 · Cited by 401
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“The classification is shown in figure 12 taken from [164].”
BackgroundMethodInfluential
Metadata
- Authors
- Ben Achour, J., Langlois, D., & Noui, K.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2016-06-02
- Volume
- 93
- Issue
- 12
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2287634194
- Cited by
- 331
- References
- 29
- FWCI
- 20.35
- Type
- journal article
- Language
- en
- Open access
- green
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