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arXiv · 2303.08548

Conformal Symmetries of the Strumia and Tetradis Metric

Pantelis S. Apostolopoulos·Christos Tsipogiannis
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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 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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Pantelis S. Apostolopoulos, Christos Tsipogiannis. 2023-03-15. Conformal Symmetries of the Strumia and Tetradis Metric. https://doi.org/10.3390/ecu2023-14100

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