Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes
For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov I-type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under consideration can effectively describe the early stages of t...
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| Format: | Article |
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MDPI AG
2022-12-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/12/664 |
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| author | Konstantin Osetrin Ilya Kirnos Altair Filippov |
| author_facet | Konstantin Osetrin Ilya Kirnos Altair Filippov |
| author_sort | Konstantin Osetrin |
| collection | DOAJ |
| description | For the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov I-type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under consideration can effectively describe the early stages of the universe. Type I Shapovalov spaces are the most general forms of gravitational-wave Shapovalov spacetimes, whose metrics in privileged coordinate systems depend on three variables, including the wave variable. For Einstein vacuum spacetimes, these wave models degenerate into simpler types. The exact models of gravitational waves in the quadratic theory of gravity can be used to test the realism of such theories of gravity. |
| first_indexed | 2024-03-09T15:46:52Z |
| format | Article |
| id | doaj.art-9aa025dc792d45a9a3f05e49effb8ce0 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T15:46:52Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-9aa025dc792d45a9a3f05e49effb8ce02023-11-24T18:29:48ZengMDPI AGUniverse2218-19972022-12-0181266410.3390/universe8120664Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave SpacetimesKonstantin Osetrin0Ilya Kirnos1Altair Filippov2Center for Mathematical and Computer Physics, Tomsk State Pedagogical University, 634061 Tomsk, RussiaCenter for Mathematical and Computer Physics, Tomsk State Pedagogical University, 634061 Tomsk, RussiaCenter for Mathematical and Computer Physics, Tomsk State Pedagogical University, 634061 Tomsk, RussiaFor the quadratic theory of gravity with a scalar field, exact solutions are found for gravitational-wave models in Shapovalov I-type spacetimes, which do not arise in models of the general theory of relativity. The theory of gravity under consideration can effectively describe the early stages of the universe. Type I Shapovalov spaces are the most general forms of gravitational-wave Shapovalov spacetimes, whose metrics in privileged coordinate systems depend on three variables, including the wave variable. For Einstein vacuum spacetimes, these wave models degenerate into simpler types. The exact models of gravitational waves in the quadratic theory of gravity can be used to test the realism of such theories of gravity.https://www.mdpi.com/2218-1997/8/12/664quadratic theory of gravitygravitational wavesHamilton–Jacobi equationeikonal equationkilling fieldsShapovalov spacetimes |
| spellingShingle | Konstantin Osetrin Ilya Kirnos Altair Filippov Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes Universe quadratic theory of gravity gravitational waves Hamilton–Jacobi equation eikonal equation killing fields Shapovalov spacetimes |
| title | Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes |
| title_full | Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes |
| title_fullStr | Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes |
| title_full_unstemmed | Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes |
| title_short | Quadratic Theory of Gravity with a Scalar Field and Type I Shapovalov Wave Spacetimes |
| title_sort | quadratic theory of gravity with a scalar field and type i shapovalov wave spacetimes |
| topic | quadratic theory of gravity gravitational waves Hamilton–Jacobi equation eikonal equation killing fields Shapovalov spacetimes |
| url | https://www.mdpi.com/2218-1997/8/12/664 |
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