Detectable seismic consequences of the interaction of a primordial black hole with Earth

TL;DR

This paper proposes a seismic detection method for primordial black holes passing near Earth, predicting unique seismic signatures and estimating detection rates, despite the low probability of actual collisions.

Contribution

The study introduces a novel seismic detection mechanism for PBHs, identifying distinctive wave signatures and estimating detection rates for non-colliding encounters.

Findings

Seismic waves from PBH transits produce unique, detectable signatures.

The energy from a small PBH is comparable to a magnitude 4 earthquake.

Collision rates are extremely low, but detection of close encounters is more probable.

Abstract

Galaxies observed today are likely to have evolved from density perturbations in the early universe. Perturbations that exceeded some critical threshold are conjectured to have undergone gravitational collapse to form primordial black holes (PBHs) at a range of masses. Such PBHs serve as candidates for cold dark matter and their detection would shed light on conditions in the early universe. Here we propose a mechanism to search for transits of PBHs through/nearby Earth by studying the associated seismic waves. Using a spectral-element method, we simulate and visualize this seismic wave field in Earth's interior. We predict the emergence of two unique signatures, namely, a wave that would arrive almost simultaneously everywhere on Earth's free surface and the excitation of unusual spheroidal modes with a characteristic frequency-spacing in free oscillation spectra. These qualitative characteristics are unaffected by the speed or proximity of the PBH trajectory. The seismic energy deposited by a proximal ${M^{PBH} = 10^{15}}$ g PBH is comparable to a magnitude $M_w=4$ earthquake. The non-seismic collateral damage due to the actual impact of such small PBHs with Earth would be negligible. Unfortunately, the expected collision rate is very low even if PBHs constituted all of dark matter, at ${\sim 10^{-7} {yr}^{-1}}$, and since the rate scales as ${1/M^{PBH}}$, fortunately encounters with larger, Earth-threatening PBHs are exceedingly unlikely. However, the rate at which non-colliding close encounters of PBHs could be detected by seismic activity alone is roughly two orders of magnitude larger --- that is once every hundred thousand years --- than the direct collision rate.