Analytic self-force effects on radial infalling particles in the Schwarzschild spacetime: The radiated energy
Phys. Rev. D 113, 104069 – Published 29 May, 2026
DOI: https://doi.org/10.1103/cxhl-vj76
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.
