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arXiv · 2601.11186

Analytic self-force effects on radial infalling particles in the Schwarzschild spacetime: the radiated energy

Donato Bini·Giorgio Di Russo
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Abstract

We compute, at the first self force accuracy level, the radiated energy from a radially infalling particle released from rest in a Schwarzschild spacetime. We examine both the cases of a scalar particle and that of a massive particle, in the context of gravitational perturbations. Our findings are accompanied by Post-Newtonian checks. In spite of the specific interest for this kind of computations, we outline the building blocks for future higher-order Post-Newtonian computations as well as for extending these results to other interesting situations out of the black hole case.

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Donato Bini, Giorgio Di Russo. 2026-01-16. Analytic self-force effects on radial infalling particles in the Schwarzschild spacetime: the radiated energy. https://arxiv.org/abs/2601.11186

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