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Gravitational Waves from Primordial Black Hole Dark Matter Spikes
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abstract
The origin of the binary black hole mergers observed by LIGO--Virgo--KAGRA remains an open question. We calculate the merger rate from primordial black holes (PBHs) within the density spike around supermassive black holes (SMBHs) at the centers of galaxies. We show that the merger rate within the spike is comparable to that within the wider dark matter halo. We also calculate the extreme mass ratio inspiral (EMRI) signal from PBHs hosted within the density spike spiralling into their host SMBHs due to gravitational wave emission. We predict that LISA may detect $\sim10^4$ of these EMRIs with a signal-to-noise ratio threshold of 20 within a 4 yr observation run, if all dark matter is made up of $\sim30{\rm\,M}_\odot$ PBHs. Uncertainties in our rates come from the uncertain mass fraction of PBHs within the dark matter spike, relative to the host central SMBHs, which defines the parameter space LISA can constrain.
Forward citations
Cited by 3 Pith papers
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The swallowed spike: the formation of light primordial black hole structures around heavy seeds
No torque mechanism studied supplies enough angular momentum for the innermost light-PBH shells around a heavy seed, so the spike core is swallowed and far less dense than a WIMP spike.
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Little Red Dots from Small-Scale Primordial Black Hole Clustering
Densely clustered 30-solar-mass primordial black holes can sequentially merge into ~10^6 solar-mass seeds by redshift 6, possibly explaining JWST little red dots, with high spin from tidal torques and a two-peak gravi...
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Probing Dark Matter Spike with Gravitational Waves from Early EMRIs in the Milky Way Center
Dark matter's drag on black holes spiraling into the Milky Way's central black hole would weaken low-frequency and strengthen high-frequency gravitational waves, a signal LISA or Taiji could potentially detect.
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