On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories
We prove that vector fields described by the generalized Proca class of theories do not admit consistent coupling with a gravitational sector defined by a scalar–tensor theory of the degenerate type. Under the assumption that there exists a frame in which the Proca field interacts with gravity only...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/7/6/190 |
| _version_ | 1827690415887745024 |
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| author | Sebastian Garcia-Saenz |
| author_facet | Sebastian Garcia-Saenz |
| author_sort | Sebastian Garcia-Saenz |
| collection | DOAJ |
| description | We prove that vector fields described by the generalized Proca class of theories do not admit consistent coupling with a gravitational sector defined by a scalar–tensor theory of the degenerate type. Under the assumption that there exists a frame in which the Proca field interacts with gravity only through the metric tensor, our analysis shows that at least one of the constraints associated with the degeneracy of the scalar–tensor sector is inevitably lost whenever the vector theory includes coupling with the Christoffel connection. |
| first_indexed | 2024-03-10T10:38:53Z |
| format | Article |
| id | doaj.art-3bb3167d723941659cb58581a52f78b5 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-10T10:38:53Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-3bb3167d723941659cb58581a52f78b52023-11-21T23:03:42ZengMDPI AGUniverse2218-19972021-06-017619010.3390/universe7060190On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor TheoriesSebastian Garcia-Saenz0Theoretical Physics, Blackett Laboratory, Imperial College London, London SW7 2AZ, UKWe prove that vector fields described by the generalized Proca class of theories do not admit consistent coupling with a gravitational sector defined by a scalar–tensor theory of the degenerate type. Under the assumption that there exists a frame in which the Proca field interacts with gravity only through the metric tensor, our analysis shows that at least one of the constraints associated with the degeneracy of the scalar–tensor sector is inevitably lost whenever the vector theory includes coupling with the Christoffel connection.https://www.mdpi.com/2218-1997/7/6/190dark energyalternative theories of gravityscalar–tensor theoriesgeneralized proca theoriesHamiltonian analysis |
| spellingShingle | Sebastian Garcia-Saenz On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories Universe dark energy alternative theories of gravity scalar–tensor theories generalized proca theories Hamiltonian analysis |
| title | On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories |
| title_full | On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories |
| title_fullStr | On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories |
| title_full_unstemmed | On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories |
| title_short | On the Coupling of Generalized Proca Fields to Degenerate Scalar-Tensor Theories |
| title_sort | on the coupling of generalized proca fields to degenerate scalar tensor theories |
| topic | dark energy alternative theories of gravity scalar–tensor theories generalized proca theories Hamiltonian analysis |
| url | https://www.mdpi.com/2218-1997/7/6/190 |
| work_keys_str_mv | AT sebastiangarciasaenz onthecouplingofgeneralizedprocafieldstodegeneratescalartensortheories |