Supermassive Black Hole Binary Environments: Effects on the Scaling Laws and Time to Detection for the Stochastic Background

Abstract

One of the primary gravitational wave (GW) sources for pulsar timing arrays (PTAs) is the stochastic background formed by supermassive black holes binaries (SMBHBs). In this paper, we investigate how the environments of SMBHBs will effect the sensitivity of PTAs by deriving scaling laws for the signal-to-noise ratio (SNR) of the optimal cross-correlation statistic. The presence of gas and stars around SMBHBs will accelerate the merger at large distances, depleting the GW stochastic background at low frequencies. We show that environmental interactions may delay detection by a few years or more, depending on the PTA configuration and the frequency at which the dynamical evolution transitions from being dominated by environmental effects to GW-dominated.

15 pages, 7 figures. Submitted to Phys. Rev. D

References in corpus (6)

• Supermassive black hole binaries in gaseous and stellar circumnuclear discs: orbital dynamics and gas accretion
• Time-domain Implementation of the Optimal Cross-Correlation Statistic for Stochastic Gravitational-Wave Background Searches in Pulsar Timing Data
• Prospects for gravitational-wave detection and supermassive black hole astrophysics with pulsar timing arrays
• Binary super-massive black hole environments diminish the gravitational-wave signal in the pulsar timing band
• Constraining the Solution to the Last Parsec Problem with Pulsar Timing
• Linking the fate of massive black hole binaries to the active galactic nuclei luminosity function