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

J. Ben Achour, M. Crisostomi, K. Koyama, D. Langlois, K. Noui, G. Tasinato, Gianmassimo Tasinato Orcid Logo

Journal of High Energy Physics, Volume: 2016, Issue: 12

Swansea University Author: Gianmassimo Tasinato Orcid Logo

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Abstract

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...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa33186
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spelling 2020-07-14T17:05:30.4490449 v2 33186 2017-05-04 Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order cb754b073d1e4949c5e3db97744d3301 0000-0002-9835-4864 Gianmassimo Tasinato Gianmassimo Tasinato true false 2017-05-04 SPH 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. Journal Article Journal of High Energy Physics 2016 12 1029-8479 20 12 2016 2016-12-20 10.1007/JHEP12(2016)100 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-14T17:05:30.4490449 2017-05-04T11:54:49.3076021 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics J. Ben Achour 1 M. Crisostomi 2 K. Koyama 3 D. Langlois 4 K. Noui 5 G. Tasinato 6 Gianmassimo Tasinato 0000-0002-9835-4864 7 0033186-15062017100012.pdf GTasinato2.pdf 2017-06-15T10:00:12.0000000 Output 652283 application/pdf Version of Record true 2016-12-20T00:00:00.0000000 This article is distributed under the terms of the Creative Commons Attribution 4.0 International License true eng https://creativecommons.org/licenses/by/4.0
title Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
spellingShingle Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
Gianmassimo Tasinato
title_short Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
title_full Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
title_fullStr Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
title_full_unstemmed Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
title_sort Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
author_id_str_mv cb754b073d1e4949c5e3db97744d3301
author_id_fullname_str_mv cb754b073d1e4949c5e3db97744d3301_***_Gianmassimo Tasinato
author Gianmassimo Tasinato
author2 J. Ben Achour
M. Crisostomi
K. Koyama
D. Langlois
K. Noui
G. Tasinato
Gianmassimo Tasinato
format Journal article
container_title Journal of High Energy Physics
container_volume 2016
container_issue 12
publishDate 2016
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP12(2016)100
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description 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.
published_date 2016-12-20T03:40:50Z
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score 11.0133505