Article ; Online: Conformal Symmetries of the Strumia–Tetradis’ Metric
Physical Sciences Forum, Vol 7, Iss 46, p
2023 Volume 46
Abstract: 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 ... ...
| Abstract | 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 F ab 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. |
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| Keywords | geometric symmetries ; conformal vector fields ; scalar fields ; relativistic cosmology ; Mechanical drawing. Engineering graphics ; T351-385 ; Physical and theoretical chemistry ; QD450-801 |
| Subject code | 539 |
| Language | English |
| Publishing date | 2023-03-01T00:00:00Z |
| Publisher | MDPI AG |
| Document type | Article ; Online |
| Database | BASE - Bielefeld Academic Search Engine (life sciences selection) |
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