Supermassive Black Hole Merger Rates: Uncertainties from Halo Merger Theory

Abstract

The merger of two supermassive black holes is expected to produce a gravitational-wave signal detectable by the satellite LISA. The rate of supermassive-black-hole mergers is intimately connected to the halo merger rate, and the extended Press-Schechter formalism is often employed when calculating the rate at which these events will be observed by LISA. This merger theory is flawed and provides two rates for the merging of the same pair of haloes. We show that the two predictions for the LISA supermassive-black-hole-merger event rate from extended Press-Schechter merger theory are nearly equal because mergers between haloes of similar masses dominate the event rate. An alternative merger rate may be obtained by inverting the Smoluchowski coagulation equation to find the merger rate that preserves the Press-Schechter halo abundance, but these rates are only available for power-law power spectra. We compare the LISA event rates derived from the extended Press-Schechter merger formalism to those derived from the merger rates obtained from the coagulation equation and find that the extended Press-Schechter LISA event rates are thirty percent higher for a power spectrum spectral index that approximates the full Lambda-CDM result of the extended Press-Schechter theory.

arXiv comment9 pages, 9 figures. More concise treatment, accepted for publication in MNRAS

References in corpus (21)

• A Fundamental Relation Between Supermassive Black Holes and Their Host Galaxies
• Large scale bias and the peak background split
• The slope of the black-hole mass versus velocity dispersion correlation
• Baryonic Features in the Matter Transfer Function
• Mass function of dark matter halos
• In the Beginning: The First Sources of Light and the Reionization of the Universe
• Beyond the Bulge: a Fundamental Relation Between Supermassive Black Holes and Dark Matter Halos
• Self-Regulated Growth of Supermassive Black Holes in Galaxies as the Origin of the Optical and X-ray Luminosity Functions of Quasars
• Low-Frequency Gravitational Waves from Massive Black Hole Binaries: Predictions for LISA and Pulsar Timing Arrays
• Low-frequency gravitational radiation from coalescing massive black hole binaries in hierarchical cosmologies
• Semi-analytic predictions for statistical properties of X-ray clusters of galaxies in cold dark matter universes
• Axisymmetric, 3-Integral Models of Galaxies: A Massive Black Hole in NGC3379
• Dynamical friction and the evolution of satellites in virialized halos: the theory of linear response
• The Merger History of Supermassive Black Holes in Galaxies
• The gravitational wave signal from massive black hole binaries and its contribution to the LISA data stream
• Low-frequency gravitational waves from supermassive black holes
• Fate of Supermassive Black Holes and Evolution of the M(BH)-sigma Relation in Merging Galaxies: The Effect of Gaseous Dissipation
• Constraining dark energy from the abundance of weak gravitational lenses
• Self-Consistent Theory of Halo Mergers
• Testing models of supermassive black hole seed formation through gravity waves
• Realistic Event Rates for Detection of Supermassive Black Hole Coalescence by LISA

Cited by in corpus (21)

• AEDGE: Atomic Experiment for Dark Matter and Gravity Exploration in Space
• AION: An Atom Interferometer Observatory and Network
• Dynamics of triple black hole systems in hierarchically merging massive galaxies
• Supermassive Black Hole Growth and Merger Rates from Cosmological N-body Simulations
• Observing dynamic oscillatory behavior of triple points among black hole thermodynamic phase transitions
• Prospects for Future Binary Black Hole GW Studies in Light of PTA Measurements
• Weakly Lensed Gravitational Waves: Probing Cosmic Structures with Wave-Optics Features
• Microlensing of gravitational waves by dark matter structures
• Probing primordial black holes with anisotropies in stochastic gravitational-wave background
• Probes of Gravitational Waves with Atom Interferometers
• Dynamic behaviours of black hole phase transitions near quadruple points
• High-energy neutrino emission subsequent to gravitational wave radiation from supermassive black hole mergers
• Testing the Speed of Gravity with Black Hole Ringdown
• Evidence for a milliparsec-separation Supermassive Binary Black Hole with quasar microlensing
• Probing the growth of supermassive black holes at z>6 with LOFAR
• Evolution of the mass relation between supermassive black holes and dark matter halos across the cosmic time
• Self-Consistent Theory of Halo Mergers - II: CDM Power Spectra
• Spectral Energy Distribution profiles from AGN accretion disc in multi-gap setup
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions
• Cosmological Impacts of Black Hole Mergers: No Relief in Sight for the Hubble Tension
• Smoluchowski Coagulation Equation and the Evolution of Primordial Black Hole Clusters