Abstract

The collection of individually resolvable gravitational wave (GW) events makes up a tiny fraction of all GW signals that reach our detectors, while most lie below the confusion limit and are undetected. Similarly to voices in a crowded room, the collection of unresolved signals gives rise to a background that is well-described via stochastic variables and, hence, referred to as the stochastic GW background (SGWB). In this review, we provide an overview of stochastic GW signals and characterise them based on features of interest such as generation processes and observational properties. We then review the current detection strategies for stochastic backgrounds, offering a ready-to-use manual for stochastic GW searches in real data. In the process, we distinguish between interferometric measurements of GWs, either by ground-based or space-based laser interferometers, and timing-residuals analyses with pulsar timing arrays (PTAs). These detection methods have been applied to real data both by large GW collaborations and smaller research groups, and the most recent and instructive results are reported here. We close this review with an outlook on future observations with third generation detectors, space-based interferometers, and potential noninterferometric detection methods proposed in the literature.

Highlights

  • Gravitational waves (GWs) are perturbations of the spacetime metric caused by extremely energetic events throughout the Universe

  • It is convenient to divide these into smaller time segments and fast-Fourier transform (FFT) each segment, which is treated as an independent measurement

  • As there is no clear evidence of a gravitational-wave backgrounds (GWBs), as LVK places upper limits on the three fixed power law models: α = 0, typically associated with a scale-invariant, cosmological model [76]; α = 2/3, which describes a population of inspiralling compact binaries [64]; and α = 3, which corresponds to a flat strain power [151]

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Summary

Introduction

Gravitational waves (GWs) are perturbations of the spacetime metric caused by extremely energetic events throughout the Universe. Direct detections of GWs have been coherent measurements of resolved waveforms in detector datastreams which may be traced back to single, point-like sources. These make up a tiny fraction of the gravitational-wave sky: The vast collection of unresolved signals corresponding to multiple point sources or extended sources adds up incoherently, giving rise to gravitational-wave backgrounds (GWBs). We discuss the potential of the upcoming third generation (3G) detector network, which will include the Einstein Telscope (ET) [14,15] and Cosmic Explorer (CE) [16–18] All these monitor frequencies around 102 Hz, spanning roughly two orders of magnitude in total, ∼10–103 Hz, depending on specific characteristics.

Theory of Stochastic Backgrounds
Gravitational-Wave Strain and Stokes Parameters
The Energy Density of Gravitational Waves
Sources of Stochastic Backgrounds
Astrophysical Backgrounds
Primordial Backgrounds
Anisotropies in Stochastic Backgrounds
Observational Properties of Stochastic Backgrounds
Detection Approaches and Methodologies
Interdetector and Spatial Correlations
Isotropic Background Search Methods
Ground-Based Detectors
Pulsar Timing Arrays
Anisotropic Background Detection Methods
The Approach towards Non-Gaussian Backgrounds
Current Detection Efforts of SGWBs
Searches with Ground-Based Laser Interferometers
Search Results for an Isotropic Background by LVK
Search Results for an Anisotropic Background by LVK
Stochastic Searches with Pulsar Timing Arrays
Search Results for an Isotropic Nanohertz Background
Challenges in GWB Searches with PTAs
Search Results for an Anisotropic Nanohertz Background
Search Results for a Nanohertz Background Not Related to Supermassive Black Hole Binaries
Other Stochastic Background Searches
Stochastic Searches with Third Generation Interferometers
Stochastic Searches with the Laser Interferometer Space Antenna
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