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The calculation of the self force in the modeling of the gravitational-waveemission from extreme-mass-ratio binaries is a challenging task. Here weaddress the question of the possible emergence of a persistent spurioussolution in time-domain schemes, referred to as a {\em Jost junk solution} inthe literature, that may contaminate self force calculations. Previous studiessuggested that Jost solutions are due to the use of zero initial data, which isinconsistent with the singular sources associated with the small object,described as a point mass. However, in this work we show that the specificorigin is an inconsistency in the translation of the singular sources into jumpconditions. More importantly, we identify the correct implementation of thesources at late times as the sufficient condition guaranteeing the absence ofJost junk solutions.

Are Time-Domain Self-Force Calculations Contaminated by Jost Solutions?