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Potential Functions Admitted by Well-Known Spherically Symmetric Static Spacetimes

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Conformal groups, which also represent the point symmetries of wave and Klein—Gordon equations, give rise to interesting forms of an associated potential function. The exact nature of the relationship between… Click to show full abstract

Conformal groups, which also represent the point symmetries of wave and Klein—Gordon equations, give rise to interesting forms of an associated potential function. The exact nature of the relationship between the conformal groups and the wave and Klein—Gordon equations is given by a geometric condition, that we exploit to determine a variety of potentials functions. Due to the volume of potentials, we display the results in tables.

Keywords: functions admitted; spherically symmetric; well known; admitted well; potential functions; known spherically

Journal Title: Reports on Mathematical Physics
Year Published: 2018

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