Electromagnetic radiation damping of charges in external gravitational fields /weak field, slow motion approximation/

Astronomy and Astrophysics – Astronomy

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Astronomical Models, Black Holes (Astronomy), Electromagnetic Radiation, Extrasolar Planets, Field Theory (Physics), Gravitational Waves, Equations Of Motion, Green'S Functions, Orbital Mechanics, Planetary Radiation, Theoretical Physics, Wave Attenuation

Scientific paper

As a model for gravitational radiation damping of a planet, the electromagnetic radiation damping of an extended charged body moving in an external gravitational field is calculated in harmonic coordinates using a weak field, slow-motion approximation. Special attention is paid to the case where this gravitational field is a weak Schwarzschild field. Using Green's function methods for this purpose it is shown that in a slow-motion approximation there is a strange connection between the tail part and the sharp part: radiation reaction terms of the tail part can cancel corresponding terms of the sharp part. Due to this cancelling mechanism the lowest order electromagnetic radiation damping force in an external gravitational field in harmonic coordinates remains the flat space Abraham Lorentz force.

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