On the validity of the strong equivalence principle for charged particles in a Schwarzschild space-time

Physics

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Charged Particles, Equivalence, Relativistic Theory, Schwarzschild Metric, Space-Time Functions, Electrostatics, Field Theory (Physics), Riemann Manifold

Scientific paper

Over the last 25 years the equivalence principle, in its strong form, has been rejected when electromagnetic phenomena are taken into account, on the basis that a charge in a gravitational field experiences a self-interaction force, vanishing in an inertial field. As a consequence, the equivalence principle reduces to an essentially formal principle, with loss of physical content. Since the previous conclusion is not supported by a pertinent analysis of the order of the physical effects of the self-force, such an analysis is tried in this paper for a charge at rest or beginning a free fall in a Schwarzschild space-time. Disagreeing with the literature, the authors conclude that, in the validity domain of classical electrodynamics, no observable violation of the strong equivalence principle occurs because of the electrostatic self-force.

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