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Gravitational wave energy emission and detection rates of Primordial Black Hole hyperbolic encounters.

Juan Garcia-Bellido and Savvas Nesseris

Abstract:

We describe in detail gravitational wave bursts from Primordial Black Hole (PBH) hyperbolic encounters. The bursts are one-time events, with the bulk of the released energy happening during the closest approach, which can be emitted in frequencies that are within the range of LIGO (10-800Hz). Furthermore, we correct the results for the power spectrum of hyperbolic encounters found in the literature and present new exact and approximate expressions for the peak frequency of the emission. Note that these GW bursts from hyperbolic encounters between PBH are complementary to the GW emission from the bounded orbits of BHB mergers detected by LIGO, and help breaking degeneracies in the determination of the PBH mass, spin and spatial distributions.

Some plots from the paper:
Fig5a Fig8 Fig6









Numerical analysis codes:
You can download the (Mathematica and Python) codes used in the paper from here.