Geometry and covariance of symmetric teleparallel theories of gravity
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866914690790064128 |
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| author | Blixt, Daniel Golovnev, Alexey Guzman, Maria-Jose Maksyutov, Ramazan |
| author_facet | Blixt, Daniel Golovnev, Alexey Guzman, Maria-Jose Maksyutov, Ramazan |
| contents | We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantisation procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantisation at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly-conserved teleparallel tetrad for the symmetric teleparallel frameworks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_09289 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometry and covariance of symmetric teleparallel theories of gravity Blixt, Daniel Golovnev, Alexey Guzman, Maria-Jose Maksyutov, Ramazan General Relativity and Quantum Cosmology High Energy Physics - Theory We present the geometric foundations and derivations of equations of motion for symmetric teleparallel theories of gravity in the coincident gauge and covariant frameworks. We discuss the theoretical challenges introduced by the auxiliary fields responsible for the covariantisation procedure. We elucidate a tetradic structure interpretation behind this covariant formulation. Regarding the effect of covariantisation at the level of the equations of motion, we explicitly show that the only physical change, in case of setting an arbitrary energy-momentum tensor to the right hand side, resides in the requirement of the fulfillment of the covariant conservation laws. Also, we have explicitly introduced the fundamental covariantly-conserved teleparallel tetrad for the symmetric teleparallel frameworks. |
| title | Geometry and covariance of symmetric teleparallel theories of gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.09289 |