DOAJ Open Access 2023

Conformal Symmetries of the Strumia–Tetradis’ Metric

Pantelis S. Apostolopoulos Christos Tsipogiannis

Abstrak

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.

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Penulis (2)

Pantelis S. Apostolopoulos

Christos Tsipogiannis

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Apostolopoulos, P.S., Tsipogiannis, C. (2023). Conformal Symmetries of the Strumia–Tetradis’ Metric. https://doi.org/10.3390/ECU2023-14100

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/ECU2023-14100
Akses: Open Access ✓