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タイトル: | Minimally Modified Gravity: a Hamiltonian Construction |
著者: | Noui, Karim Mukohyama, Shinji |
著者名の別形: | 向山, 信治 |
キーワード: | Astronomy and Astrophysics |
発行日: | Jul-2019 |
出版者: | IOP Publishing |
誌名: | Journal of Cosmology and Astroparticle Physics |
巻: | 2019 |
論文番号: | 049 |
抄録: | Minimally modified gravity theories are modifications of general relativity with two local gravitational degrees of freedom in four dimensions. Their construction relies on the breaking of 4D diffeomorphism invariance keeping however the symmetry under 3D diffeomorphisms. Here, we construct these theories from a Hamiltonian point of view. We start with the phase space of general relativity in the ADM formalism. Then, we find the conditions that the Hamiltonian must satisfy for the theory to propagate (up to) two gravitational degrees of freedom with the assumptions that the lapse and the shift are not dynamical, and the theory remains invariant under 3D diffeomorphisms. This construction enables us to recover the well-known "cuscuton" class of scalar-tensor theories in the unitary gauge. We also exhibit a new class of interesting theories, that we dubb f(H) theories, where the usual Hamiltonian constraint H of general relativity is replaced by f(H) where f is an arbitrary function. |
著作権等: | This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Cosmology and Astroparticle Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/1475-7516/2019/07/049 The full-text file will be made open to the public on 31 July 2020 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/244292 |
DOI(出版社版): | 10.1088/1475-7516/2019/07/049 |
出現コレクション: | 学術雑誌掲載論文等 |
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