Weak Gravity Limit in Newer General Relativity
We analyse linearised field equations around the Minkowski metric, with its standard flat parallel transport structure, in models of newer GR, which refers to quadratic actions in terms of a nonmetricity tensor. We show that half of the freedom in choosing the model parameters is immediately fixed b...
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MDPI AG
2025-05-01
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| Online Access: | https://www.mdpi.com/2218-1997/11/5/149 |
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| author | Alexey Golovnev Sofia Klimova Alla N. Semenova Vyacheslav P. Vandeev |
| author_facet | Alexey Golovnev Sofia Klimova Alla N. Semenova Vyacheslav P. Vandeev |
| author_sort | Alexey Golovnev |
| collection | DOAJ |
| description | We analyse linearised field equations around the Minkowski metric, with its standard flat parallel transport structure, in models of newer GR, which refers to quadratic actions in terms of a nonmetricity tensor. We show that half of the freedom in choosing the model parameters is immediately fixed by asking for reasonable properties of tensors and vectors, defined with respect to spatial rotations, and we accurately describe the much more complicated sector of scalars. In particular, we show that, from the teleparallel viewpoint, the STEGR model with an additional term of a gradient squared of the metric determinant exhibits one and a half new dynamical modes, and not just one new dynamical mode as it was previously claimed. |
| format | Article |
| id | doaj-art-e6929e51a26e4698b0cfb9fc42fda1fb |
| institution | DOAJ |
| issn | 2218-1997 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-e6929e51a26e4698b0cfb9fc42fda1fb2025-08-20T03:12:09ZengMDPI AGUniverse2218-19972025-05-0111514910.3390/universe11050149Weak Gravity Limit in Newer General RelativityAlexey Golovnev0Sofia Klimova1Alla N. Semenova2Vyacheslav P. Vandeev3Centre for Theoretical Physics, The British University in Egypt, El Sherouk City 11837, Cairo, EgyptInstitute for Physics and Mathematics, Peter the Great St. Petersburg Polytechnic University, Saint-Petersburg 195251, RussiaPetersburg Nuclear Physics Institute of National Research Centre “Kurchatov Institute”, Gatchina 188300, RussiaPetersburg Nuclear Physics Institute of National Research Centre “Kurchatov Institute”, Gatchina 188300, RussiaWe analyse linearised field equations around the Minkowski metric, with its standard flat parallel transport structure, in models of newer GR, which refers to quadratic actions in terms of a nonmetricity tensor. We show that half of the freedom in choosing the model parameters is immediately fixed by asking for reasonable properties of tensors and vectors, defined with respect to spatial rotations, and we accurately describe the much more complicated sector of scalars. In particular, we show that, from the teleparallel viewpoint, the STEGR model with an additional term of a gradient squared of the metric determinant exhibits one and a half new dynamical modes, and not just one new dynamical mode as it was previously claimed.https://www.mdpi.com/2218-1997/11/5/149theory of gravityteleparallel geometrysymmetric teleparallel gravitynewer GRweak gravitydegrees of freedom |
| spellingShingle | Alexey Golovnev Sofia Klimova Alla N. Semenova Vyacheslav P. Vandeev Weak Gravity Limit in Newer General Relativity Universe theory of gravity teleparallel geometry symmetric teleparallel gravity newer GR weak gravity degrees of freedom |
| title | Weak Gravity Limit in Newer General Relativity |
| title_full | Weak Gravity Limit in Newer General Relativity |
| title_fullStr | Weak Gravity Limit in Newer General Relativity |
| title_full_unstemmed | Weak Gravity Limit in Newer General Relativity |
| title_short | Weak Gravity Limit in Newer General Relativity |
| title_sort | weak gravity limit in newer general relativity |
| topic | theory of gravity teleparallel geometry symmetric teleparallel gravity newer GR weak gravity degrees of freedom |
| url | https://www.mdpi.com/2218-1997/11/5/149 |
| work_keys_str_mv | AT alexeygolovnev weakgravitylimitinnewergeneralrelativity AT sofiaklimova weakgravitylimitinnewergeneralrelativity AT allansemenova weakgravitylimitinnewergeneralrelativity AT vyacheslavpvandeev weakgravitylimitinnewergeneralrelativity |