Self force on a static scalar charge in Schwarzschild spacetime

The finite part of the self force on a static scalar charge in a Schwarzschild spacetime vanishes [1]. It is recalculated here using a mode-by-mode expansion of the Green’s function. The Quinn-Wald axioms [2,3] have been used to regularize the self force. The motivation for this calculation is to develop techniques and formalism for use in calculations of the self forces (dissipative and conservative) acting on charges and masses moving in black hole spacetimes. \begin{thebibliography}{99} \bibitem{wiseman} A.G. Wiseman, Phys. Rev. D61 (2000) 084014 \bibitem{quinn}T.C. Quinn, Phys. Rev. D62 (2000) 064029 \bibitem{quinn-wald}T.C. Quinn, R.M. Wald Phys. Rev. D56 (1997) 3381 \end{thebibliography}