Teleparallel bigravity
Abstract We write down the teleparallel equivalent to Hassan–Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation theory and Hamiltonian analysis. It is further shown ho...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-12-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-12247-7 |
| _version_ | 1797233299184156672 |
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| author | Daniel Blixt Manuel Hohmann Tomi Koivisto Luca Marzola |
| author_facet | Daniel Blixt Manuel Hohmann Tomi Koivisto Luca Marzola |
| author_sort | Daniel Blixt |
| collection | DOAJ |
| description | Abstract We write down the teleparallel equivalent to Hassan–Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation theory and Hamiltonian analysis. It is further shown how one can construct novel bigravity theories within the teleparallel framework. Some of those are analyzed through perturbation theory, and it is found that all of the considered novel bigravity theories suffer from pathologies. In particular, it is found that a construction with two copies of new general relativity leads to ghostly degrees of freedom which are not present in the single tetrad teleparallel corresponding theory. We demonstrate how the teleparallel framework allows to easily create theories with derivative interaction. However, it is shown through perturbation theory that the simplest model is not viable. Furthermore, we demonstrate some steps in the Hamiltonian analysis of teleparallel bigravity with two copies of new general relativity and some toy models. The results rule out some of the novel teleparallel bigravity theories, but also demonstrate techniques in perturbation theory and Hamiltonian analysis which could be further used for more profound theories in the future. |
| first_indexed | 2024-03-08T22:34:59Z |
| format | Article |
| id | doaj.art-0d6388619c8545a9b043772ed42fcef0 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T16:13:58Z |
| publishDate | 2023-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-0d6388619c8545a9b043772ed42fcef02024-03-31T11:31:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-12-01831212510.1140/epjc/s10052-023-12247-7Teleparallel bigravityDaniel Blixt0Manuel Hohmann1Tomi Koivisto2Luca Marzola3Scuola Superiore MerdionaleLaboratory of Theoretical Physics, Institute of Physics, University of TartuLaboratory of Theoretical Physics, Institute of Physics, University of TartuNational Institute of Chemical Physics and BiophysicsAbstract We write down the teleparallel equivalent to Hassan–Rosen bigravity, which is written using a torsionful but curvature-free connection. The theories only differ by a boundary term. The equivalence was proven, both by using perturbation theory and Hamiltonian analysis. It is further shown how one can construct novel bigravity theories within the teleparallel framework. Some of those are analyzed through perturbation theory, and it is found that all of the considered novel bigravity theories suffer from pathologies. In particular, it is found that a construction with two copies of new general relativity leads to ghostly degrees of freedom which are not present in the single tetrad teleparallel corresponding theory. We demonstrate how the teleparallel framework allows to easily create theories with derivative interaction. However, it is shown through perturbation theory that the simplest model is not viable. Furthermore, we demonstrate some steps in the Hamiltonian analysis of teleparallel bigravity with two copies of new general relativity and some toy models. The results rule out some of the novel teleparallel bigravity theories, but also demonstrate techniques in perturbation theory and Hamiltonian analysis which could be further used for more profound theories in the future.https://doi.org/10.1140/epjc/s10052-023-12247-7 |
| spellingShingle | Daniel Blixt Manuel Hohmann Tomi Koivisto Luca Marzola Teleparallel bigravity European Physical Journal C: Particles and Fields |
| title | Teleparallel bigravity |
| title_full | Teleparallel bigravity |
| title_fullStr | Teleparallel bigravity |
| title_full_unstemmed | Teleparallel bigravity |
| title_short | Teleparallel bigravity |
| title_sort | teleparallel bigravity |
| url | https://doi.org/10.1140/epjc/s10052-023-12247-7 |
| work_keys_str_mv | AT danielblixt teleparallelbigravity AT manuelhohmann teleparallelbigravity AT tomikoivisto teleparallelbigravity AT lucamarzola teleparallelbigravity |