Electrostatic self-force in a static weak gravitational field with   cylindrical symmetry
  We determine the electrostatic self-force at rest in an arbitrary static metric with cylindrical symmetry in the linear approximation in the Newtonian constant. In linearised Einstein theory, we express it in terms of the components of the energy-momentum tensor. 
B. Boisseau, C. Charmousis and B. Linet