Self-Force on Scalar Particle Falling Radially Into a Schwarzschild Black Hole

Physics

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Scientific paper

We calculate the self force acting on a scalar particle which is falling radially into a Schwarzschild black hole. We treat the particle's field as a linear perturbation over the fixed Schwarzschild background. The force is calculated by first solving numerically for each of the field's multipole modes (in the time domain), then calculating its contribution to the self force, and finally summing over all modes using Ori's mode-sum regularization prescription. The radial force is attractive at large distances, but becomes repulsive as the particle approaches the event horizon.

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