Gravitational wave bursts from Primordial Black Hole hyperbolic encounters

Abstract

We propose that Gravitational Wave (GW) bursts with millisecond durations can be explained by the GW emission from the hyperbolic encounters of Primordial Black Holes in dense clusters. These bursts are single events, with the bulk of the released energy happening during the closest approach, and emitted in frequencies within the AdvLIGO sensitivity range. We provide expressions for the shape of the GW emission in terms of the peak frequency and amplitude, and estimate the rates of these events for a variety of mass and velocity configurations. We study the regions of parameter space that will allow detection by both AdvLIGO and, in the future, LISA. We find for realistic configurations, with total mass $M\sim 60M_{\odot }$, relative velocities $v\sim 0.01c$, and impact parameters $b\sim 10^{-3}$ AU, for AdvLIGO an expected event rate is $\mathcal{O}(10)$ events/yr/Gpc${}^3$ with millisecond durations. For LISA, the typical duration is in the range of minutes to hours and the event-rate is $\mathcal{O}(10^3)$ events/yr/Gpc${}^3$ for both $10^3{M}_{\odot }$ IMBH and $10^6{M}_{\odot }$ SMBH encounters. We also study the distribution functions of eccentricities, peak frequencies and characteristic timescales that can be expected for a population of scattering PBH with a log-normal distribution in masses, different relative velocities and a flat prior on the impact parameter.

5 pages, 6 figures, changes match published version

References in corpus (8)

• Primordial Black Holes as Dark Matter
• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• All-sky search for short gravitational-wave bursts in the first Advanced LIGO run
• Classification methods for noise transients in advanced gravitational-wave detectors II: performance tests on Advanced LIGO data
• Gravitational wave energy spectrum of hyperbolic encounters
• Gravitational waves from hyperbolic encounters
• Detecting the Stochastic Gravitational Wave Background from Primordial Black Hole Formation

Cited by in corpus (4)

• Black hole induced spins from hyperbolic encounters in dense clusters
• Detecting the Stochastic Gravitational Wave Background from Primordial Black Hole Formation
• A note on the gravitational wave energy spectrum of parabolic and hyperbolic encounters
• Primordial blackholes from Gauss-Bonnet-corrected single field inflation