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- W3203493953 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 $tsim 10^{13} text{s}$. As a result, the energy density spectrum of the gravitational wave background could develop a peak, which is from mergers occurring at either $tsim 10^{13} text{s}$ (for black holes with mass $Mgtrsim 10^8 M_odot$) or $tsim 10^{26}(M/M_odot)^{-5/3} text{s}$ (for $10^5 M_odot lesssim Mlesssim 10^8 M_odot$). This can be used to constrain the fraction of dark matter in primordial black holes (denoted by $f$) if potential probes (such as SKA, LISA and BBO) do not discover such a background, with the result $flesssim 10^{-5}text{-}10^{-4}$ for the mass range $10text{-} 10^9M_odot$. We then consider the effect of mass accretion at redshift $zsim 10$, and find that the merger rate would increase during the accretion period, and could drop significantly at low redshifts. The spectrum of the gravitational wave background thus gets slightly enhanced at low frequencies, and suppressed at the high-frequency end. This feature might be captured by future detectors such as ET and CE for initial mass $M= mathcal{O}(10text{-}100) M_odot$ with $fgtrsim 10^{-4}$" @default.
- W3203493953 created "2021-10-11" @default.
- W3203493953 creator A5063660414 @default.
- W3203493953 date "2021-10-06" @default.
- W3203493953 modified "2023-09-27" @default.
- W3203493953 title "Gravitational wave background from mergers of large primordial black holes." @default.
- W3203493953 hasPublicationYear "2021" @default.
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