Point charge in a static, spherically symmetric Brans-Dicke field

Astronomy and Astrophysics – Astronomy

Scientific paper

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Electric Potential, Field Theory (Physics), Gravitation Theory, Black Holes (Astronomy), Electric Fields, Schwarzschild Metric, Space-Time Functions, Spheres

Scientific paper

The electrostatic potential of a point test charge held at rest in a static spherically symmetric Brans-Dicke field is determined in closed form. This result is a generalization of the previously obtained expression for the potential of a test charge at rest near a Schwarzschild black hole. Moreover, the solution is valid for the coupled gravitational and massless scalar fields.

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