Finding Horndeski theories with Einstein gravity limits
Open accessAbstract
The Horndeski action is the most general scalar-tensor theory with at most second-order derivatives in the equations of motion, thus evading Ostrogradsky instabilities and making it of interest when modifying gravity at large scales. To pass local tests of gravity, these modifications predominantly rely on nonlinear screening mechanisms that recover Einstein's Theory of General Relativity in regions of high density. We derive a set of conditions on the four free functions of the Horndeski action that examine whether a specific model embedded in the action possesses an Einstein gravity limit or not. For this purpose, we develop a new and surprisingly simple scaling method that identifies dominant terms in the equations of motion by considering formal limits of the couplings that enter through the new terms in the modified action. This enables us to find regimes where nonlinear terms dominate and Einstein's field equations are recovered to leading order. Together with an efficient approximation of the scalar field profile, one can then further evaluate whether these limits can be attributed to a genuine screening effect. For illustration, we apply the analysis to both a cubic galileon and a chameleon model as well as to Brans-Dicke theory. Finally, we emphasise that the scaling method also provides a natural approach for performing post-Newtonian expansions in screened regimes.
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Kennedy, J., Lombriser, L., & Taylor, A. N. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.100.044034 · Cited by 7 · see citing works
Self-citationGravitational wave signatures from dark sector interactions
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Chu, Y.-Z., & Park, S. (2019) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.99.044052 · Cited by 5 · see citing works
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Transcriptome Analysis of the Effect of Cutting Age on Adventitious Root Formation of Populus
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An ostentatious model of cosmological scalar–tensor theory
Kan, N., & Shiraishi, K. (2019) · Modern Physics Letters A · doi:10.1142/s021773231950144x · Cited by 1 · see citing works
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Self-citationProbing beyond-Horndeski gravity on ultra-large scales
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- Authors
- McManus, R., Lombriser, L., & Peñarrubia, J.
- Affiliations
- Royal Observatory (GB)
- ORCID
- Peñarrubia, Jorge
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2016-11-04
- Volume
- 2016
- Issue
- 11
- Pages
- 006-006
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2412649928
- Cited by
- 57
- References
- 51
- Citations by year
- 2023: 5 · 2022: 5 · 2021: 8 · 2020: 12 · 2019: 18 · 2018: 5 · 2017: 1 · 2016: 3
- FWCI
- 4.17
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (161058)
- Science and Technology Facilities Council (ST/M001229/1)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- scalar-tensor gravity, nonlinear screening, modified gravity, scaling methods, cubic Galileon, Brans-Dicke theory, post-Newtonian approximation
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