LIGO-Virgo-KAGRA Limit on Relativistic Interstellar Objects near Earth

Abstract

Relativistic interstellar objects (RISOs) are not constrained by astronomical sky surveys because they are smeared in sky images and at best appear in one frame. Here, I show that irrespective of their nature, RISOs more massive than ∼10¹⁴ g would have been detected by the LIGO-Virgo-KAGRA collaboration through their tidal gravitational signal at a frequency of f ∼ 50 Hz within a distance comparable to the Earth radius. This constrains the passage of relativistic primordial black holes or other exotic objects at the local mass density of dark matter near Earth over the past decade.