Hamiltonian Dynamics of Doubly-Foliable Space-Times
The 2 + 1 + 1 decomposition of space-time is useful in monitoring the temporal evolution of gravitational perturbations/waves in space-times with a spatial direction singled-out by symmetries. Such an approach based on a perpendicular double foliation has been employed in the framework of dark matte...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-01-01
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| Series: | Universe |
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| Online Access: | http://www.mdpi.com/2218-1997/4/1/9 |
| _version_ | 1811183904594329600 |
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| author | Cecília Gergely Zoltán Keresztes László Árpád Gergely |
| author_facet | Cecília Gergely Zoltán Keresztes László Árpád Gergely |
| author_sort | Cecília Gergely |
| collection | DOAJ |
| description | The 2 + 1 + 1 decomposition of space-time is useful in monitoring the temporal evolution of gravitational perturbations/waves in space-times with a spatial direction singled-out by symmetries. Such an approach based on a perpendicular double foliation has been employed in the framework of dark matter and dark energy-motivated scalar-tensor gravitational theories for the discussion of the odd sector perturbations of spherically-symmetric gravity. For the even sector, however, the perpendicularity has to be suppressed in order to allow for suitable gauge freedom, recovering the 10th metric variable. The 2 + 1 + 1 decomposition of the Einstein–Hilbert action leads to the identification of the canonical pairs, the Hamiltonian and momentum constraints. Hamiltonian dynamics is then derived via Poisson brackets. |
| first_indexed | 2024-04-11T13:04:36Z |
| format | Article |
| id | doaj.art-16a4a5a245d4421e89f67c84eb0d6d81 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-11T13:04:36Z |
| publishDate | 2018-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-16a4a5a245d4421e89f67c84eb0d6d812022-12-22T04:22:49ZengMDPI AGUniverse2218-19972018-01-0141910.3390/universe4010009universe4010009Hamiltonian Dynamics of Doubly-Foliable Space-TimesCecília Gergely0Zoltán Keresztes1László Árpád Gergely2Institute of Physics, University of Szeged, 6720 Szeged, HungaryInstitute of Physics, University of Szeged, 6720 Szeged, HungaryInstitute of Physics, University of Szeged, 6720 Szeged, HungaryThe 2 + 1 + 1 decomposition of space-time is useful in monitoring the temporal evolution of gravitational perturbations/waves in space-times with a spatial direction singled-out by symmetries. Such an approach based on a perpendicular double foliation has been employed in the framework of dark matter and dark energy-motivated scalar-tensor gravitational theories for the discussion of the odd sector perturbations of spherically-symmetric gravity. For the even sector, however, the perpendicularity has to be suppressed in order to allow for suitable gauge freedom, recovering the 10th metric variable. The 2 + 1 + 1 decomposition of the Einstein–Hilbert action leads to the identification of the canonical pairs, the Hamiltonian and momentum constraints. Hamiltonian dynamics is then derived via Poisson brackets.http://www.mdpi.com/2218-1997/4/1/9space-time foliationextrinsic curvaturenormal fundamental form and scalarsymmetriesgeometrodynamics |
| spellingShingle | Cecília Gergely Zoltán Keresztes László Árpád Gergely Hamiltonian Dynamics of Doubly-Foliable Space-Times Universe space-time foliation extrinsic curvature normal fundamental form and scalar symmetries geometrodynamics |
| title | Hamiltonian Dynamics of Doubly-Foliable Space-Times |
| title_full | Hamiltonian Dynamics of Doubly-Foliable Space-Times |
| title_fullStr | Hamiltonian Dynamics of Doubly-Foliable Space-Times |
| title_full_unstemmed | Hamiltonian Dynamics of Doubly-Foliable Space-Times |
| title_short | Hamiltonian Dynamics of Doubly-Foliable Space-Times |
| title_sort | hamiltonian dynamics of doubly foliable space times |
| topic | space-time foliation extrinsic curvature normal fundamental form and scalar symmetries geometrodynamics |
| url | http://www.mdpi.com/2218-1997/4/1/9 |
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