Compact Binary Merger Rate in Dark-Matter Spikes

Abstract

Nowadays, the existence of supermassive black holes (SMBHs) in the center of galactic halos is almost confirmed. An extremely dense region referred to as dark-matter spike is expected to form around central SMBHs as they grow and evolve adiabatically. In this work, we calculate the merger rate of compact binaries in dark-matter spikes while considering halo models with spherical and ellipsoidal collapses. Our findings exhibit that ellipsoidal-collapse dark matter halo models can potentially yield the enhancement of the merger rate of compact binaries. Finally, our results confirm that the merger rate of primordial black hole binaries is consistent with the results estimated by the LIGO-Virgo detectors, while such results can not be realized for primordial black hole-neutron star binaries.

13 pages; 5 figures; references added, typos were fixed

References in corpus (19)

• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Observation of gravitational waves from two neutron star-black hole coalescences
• Calculating the mass spectrum of primordial black holes
• The old nuclear star cluster in the Milky Way: dynamics, mass, statistical parallax, and black hole mass
• An Observed Fundamental Plane Relation for Supermassive Black Holes
• Baryonic Pinching of Galactic Dark Matter Halos
• Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements
• Large scale kinematics and dynamical modelling of the Milky Way nuclear star cluster
• Curvature profiles as initial conditions for primordial black hole formation
• Solving puzzles of GW150914 by primordial black holes
• Primordial Black Holes as Dark Matter: Converting Constraints from Monochromatic to Extended Mass Distributions
• Luminosity and stellar mass functions of disks and spheroids in the SDSS and the supermassive black hole mass function
• Search for gravitational waves from the coalescence of sub-solar mass binaries in the first half of Advanced LIGO and Virgo's third observing run
• Multimessenger Binary Mergers Containing Neutron Stars: Gravitational Waves, Jets, and $\mathbf{\gamma }$-Ray Bursts
• The Effect of Stars on the Dark Matter Spike Around a Black Hole: A Tale of Two Treatments
• Probing the formation history of the nuclear star cluster at the Galactic Centre with millisecond pulsars
• The evolution of the heaviest super-massive black-holes in jetted AGNs
• Impact of natal kicks on merger rates and spin-orbit misalignments of black hole -- neutron star mergers