Abstract
We determine in closed form the electrostatic potential of a point test charge held at rest in a static, spherically symmetric Brans-Dicke field. 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, our solution is valid for the coupled gravitational and massless scalar fields.
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References
Linet, B. (1976).J. Phys. A,9, 1081.
Brans, C. H. (1962).Phys. Rev.,125, 2194.
Brans, C. H., and Dicke, R. H. (1961).Phys. Rev.,124, 925.
Copson, E. T. (1928).Proc. R. Soc. A,118, 184.
Cohen, J. M., and Wald, R. M. (1971).J. Math. Phys.,12, 1845.
Buchdahl, H. A. (1973).Gen. Rel. Grav.,4, 319.
Janis, A. I., Newman, E. T., and Winicour, J. (1968).Phys. Rev. Lett.,20, 878.
Olver, F. W. J. (1974).Asymptotics and Special Functions, Academic Press, New York.
Hanni, R. S., and Ruffini, R. (1973).Phys. Rev. D,8, 3259.
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Linet, B., Teyssandier, P. Point charge in a static, spherically symmetric Brans-Dicke field. Gen Relat Gravit 10, 313–319 (1979). https://doi.org/10.1007/BF00759489
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DOI: https://doi.org/10.1007/BF00759489