Conformal Symmetries of the Strumia–Tetradis’ Metric
In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature singularity. For the above metric, we present t...
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| Format: | Article |
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MDPI AG
2023-03-01
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| Series: | Physical Sciences Forum |
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| Online Access: | https://www.mdpi.com/2673-9984/7/1/46 |
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| author | Pantelis S. Apostolopoulos Christos Tsipogiannis |
| author_facet | Pantelis S. Apostolopoulos Christos Tsipogiannis |
| author_sort | Pantelis S. Apostolopoulos |
| collection | DOAJ |
| description | In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature singularity. For the above metric, we present the complete conformal Lie algebra consisting of a six-dimensional subalgebra of isometries (Killing Vector Fields or KVFs) and nine proper conformal vector fields (CVFs). An interesting aspect of our findings is that there exists a gradient (proper) conformal symmetry (i.e., its bivector <i>F<sub>ab</sub></i> vanishes) which verifies the importance of gradient symmetries in constructing viable cosmological models. In addition, the 9-dimensional conformal algebra implies the existence of constants of motion along null geodesics that allow us to determine the complete solution of null geodesic equations. |
| first_indexed | 2024-03-11T02:00:02Z |
| format | Article |
| id | doaj.art-79c070caf70a44c39ce642c0fa6da542 |
| institution | Directory Open Access Journal |
| issn | 2673-9984 |
| language | English |
| last_indexed | 2024-03-11T02:00:02Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physical Sciences Forum |
| spelling | doaj.art-79c070caf70a44c39ce642c0fa6da5422023-11-18T12:20:47ZengMDPI AGPhysical Sciences Forum2673-99842023-03-01714610.3390/ECU2023-14100Conformal Symmetries of the Strumia–Tetradis’ MetricPantelis S. Apostolopoulos0Christos Tsipogiannis1Department of Environment, Mathematical Physics and Computational Statistics Research Laboratory, Ionian University, 29100 Zakynthos, GreeceDepartment of Environment, Mathematical Physics and Computational Statistics Research Laboratory, Ionian University, 29100 Zakynthos, GreeceIn a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature singularity. For the above metric, we present the complete conformal Lie algebra consisting of a six-dimensional subalgebra of isometries (Killing Vector Fields or KVFs) and nine proper conformal vector fields (CVFs). An interesting aspect of our findings is that there exists a gradient (proper) conformal symmetry (i.e., its bivector <i>F<sub>ab</sub></i> vanishes) which verifies the importance of gradient symmetries in constructing viable cosmological models. In addition, the 9-dimensional conformal algebra implies the existence of constants of motion along null geodesics that allow us to determine the complete solution of null geodesic equations.https://www.mdpi.com/2673-9984/7/1/46geometric symmetriesconformal vector fieldsscalar fieldsrelativistic cosmology |
| spellingShingle | Pantelis S. Apostolopoulos Christos Tsipogiannis Conformal Symmetries of the Strumia–Tetradis’ Metric Physical Sciences Forum geometric symmetries conformal vector fields scalar fields relativistic cosmology |
| title | Conformal Symmetries of the Strumia–Tetradis’ Metric |
| title_full | Conformal Symmetries of the Strumia–Tetradis’ Metric |
| title_fullStr | Conformal Symmetries of the Strumia–Tetradis’ Metric |
| title_full_unstemmed | Conformal Symmetries of the Strumia–Tetradis’ Metric |
| title_short | Conformal Symmetries of the Strumia–Tetradis’ Metric |
| title_sort | conformal symmetries of the strumia tetradis metric |
| topic | geometric symmetries conformal vector fields scalar fields relativistic cosmology |
| url | https://www.mdpi.com/2673-9984/7/1/46 |
| work_keys_str_mv | AT pantelissapostolopoulos conformalsymmetriesofthestrumiatetradismetric AT christostsipogiannis conformalsymmetriesofthestrumiatetradismetric |