Prospective constraints on dark energy from nanohertz individual gravitational wave sources

Abstract

Nanohertz gravitational waves (GWs) from supermassive binary black holes (SMBBHs), detectable via pulsar timing arrays (PTAs), offer a novel avenue to constrain dark energy. Based on cosmological simulations and semi-analytic galaxy formation models, this study explores the detectability of individual nanohertz SMBBH sources using next-generation PTAs and their potential for constraining dark energy under an optimistic scenario considering only the presence of white noise. By constructing light-cone SMBBH populations across hardening timescales ($\ddot{I}{„}_H=0.1/5/10$Gyr) and computing signal-to-noise ratios (SNR), we find advanced PTAs can resolve $10^2$--$10^3$ sources with SNR $>8$ (primarily at $z<1$ with chirp masses of $10^8$--$10^{10}{M}_{\odot }$). If electromagnetic counterparts can be identified, optimal configurations ($\ddot{I}{ƒ}_t=50$ns, $N_p=1000$, $T_{\text{obs}}=30$yr with$\ddot{I}{„}_H\le 5$Gyr) could constrain the dark energy equation-of-state (EoS) parameter $w$ to $\hat{I}”w\sim 0.023$--$0.048$, where the constraints only exhibit weak dependence on $\ddot{I}{„}_H$ within $0.1$--$5$Gyr. If only $10\%$ of GW sources have detectable electromagnetic counterparts, constraints weaken to $\hat{I}”w=0.075$ ($\ddot{I}{„}_H=0.1$Gyr) and $\hat{I}”w=0.162$ ($\ddot{I}{„}_H=5$Gyr) under the most optimal parameter configuration. What's more, conservative PTAs ($N_p=500$, $\ddot{I}{ƒ}_t=100$--$200$ns) with additional $30$-year data accumulation could double resolvable source counts and improve $\hat{I}”w$ precision by $\sim 40\%$.

15 pages, 8 figures, 5 tables; Accepted for publication by EPJC