Gravitational wave background from mergers of large primordial black holes

Abstract

The Peters formula, which tells how the coalescence time of a binary system emitting gravitational radiation is determined by the initial size and shape of the elliptic orbit, is often used in estimating the merger rate of primordial black holes and the gravitational wave background from the mergers. Valid as it is in some interesting scenarios, such as the analysis of the LIGO-Virgo events, the Peters formula fails to describe the coalescence time if the orbital period of the binary exceeds the value given by the formula. This could underestimate the event rate of mergers that occur before the cosmic time $t\sim 10^{13}\text{s}$. As a result, the energy density spectrum of the gravitational wave background could develop a peak, which is from mergers occurring at either $t\sim 10^{13}\text{s}$ (for black holes with mass $M\gtrsim 10^8{M}_{\odot }$) or $t\sim 10^{26}(M/M_{\odot }{)}^{-5/3}\text{s}$ (for $10^5{M}_{\odot }\lesssim M\lesssim 10^8{M}_{\odot }$). This can be used to constrain the fraction of dark matter in primordial black holes (denoted by $f$) if potential probes (such as SKA and U-DECIGO) do not discover such a background, with the result $f\lesssim 10^{-6}\text{-}10^{-4}$ for the mass range $10\text{-}10^9{M}_{\odot }$. We then consider the effect of mass accretion onto primordial black holes at redshift $z\sim 10$, and find that the merger rate could drop significantly at low redshifts. The spectrum of the gravitational wave background thus gets suppressed at the high-frequency end. This feature might be captured by future detectors such as ET and CE for initial mass $M=\mathcal{O}(10\text{-}100)M_{\odot }$ with $f\gtrsim 10^{-4}$.

arXiv comment22 pages and 4 figures in REVTeX 4

References in corpus (47)

• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• TianQin: a space-borne gravitational wave detector
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Did LIGO detect dark matter?
• Science Case for the Einstein Telescope
• Constraints on Primordial Black Holes
• Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space
• Primordial Black Hole Scenario for the Gravitational-Wave Event GW150914
• Primordial Black Holes - Perspectives in Gravitational Wave Astronomy -
• Pulsational Pair-Instability Supernovae
• The clustering of massive Primordial Black Holes as Dark Matter: measuring their mass distribution with Advanced LIGO
• Cosmic microwave background limits on accreting primordial black holes
• The merger rate of primordial-black-hole binaries
• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• GW150914: Implications for the stochastic gravitational wave background from binary black holes
• Gravitational Waves from Coalescing Black Hole MACHO Binaries
• The Effect of Pair-Instability Mass Loss on Black Hole Mergers
• Very massive stars, pair-instability supernovae and intermediate-mass black holes with the SEVN code
• Formation and Evolution of Primordial Black Hole Binaries in the Early Universe
• Merging black hole binaries: the effects of progenitor's metallicity, mass-loss rate and Eddington factor
• Gravitational Waves from Primordial Black Hole Mergers
• CMB bounds on disk-accreting massive Primordial Black Holes
• Primordial Black Holes as Generators of Cosmic Structures
• Detecting a gravitational-wave background with next-generation space interferometers
• Cosmic microwave background bounds on primordial black holes including dark matter halo accretion
• Understanding caustic crossings in giant arcs: characteristic scales, event rates, and constraints on compact dark matter
• Lower bound on the primordial black hole merger rate
• Two populations of LIGO-Virgo black holes
• Constraints on the Primordial Black Hole Abundance from the First Advanced LIGO Observation Run Using the Stochastic Gravitational-Wave Background
• Pulsar searches and timing with the SKA
• Primordial Black Holes Confront LIGO/Virgo data: Current situation
• Black Hole Binary Formation in the Expanding Universe --- Three Body Problem Approximation ---
• Testing scenarios of primordial black holes being the seeds of supermassive black holes by ultracompact minihalos and CMB $\mu$-distortions
• Distinguishing Primordial Black Holes from Astrophysical Black Holes by Einstein Telescope and Cosmic Explorer
• New X-ray bound on density of primordial black holes
• Bondi accretion in the early universe
• Science with the TianQin Observatory: Preliminary Results on Stochastic Gravitational-Wave Background
• Constraints on Primordial Black Holes: the Importance of Accretion
• Can we distinguish astrophysical from primordial black holes via the stochastic gravitational wave background?
• Hidden universality in the merger rate distribution in the primordial black hole scenario
• Constraint on the abundance of primordial black holes in dark matter from Planck data
• Small-scale structure of primordial black hole dark matter and its implications for accretion
• NANOGrav signal as mergers of Stupendously Large Primordial Black Holes
• A possible mass distribution of primordial black holes implied by LIGO-Virgo
• Enhanced cosmological perturbations and the merger rate of PBH binaries