The signal of the stochastic gravitational wave background and the angular correlation of its energy density

Abstract

The gravitational wave radiation emitted by all, resolved and unresolved, astrophysical sources in the observable universe generates a stochastic background. This background has a directional dependence inherited from the inhomogeneities of the matter distribution. This article proposes a new and independent derivation of the angular dependence of its energy density by focusing on the total gravitational wave signal produced by an ensemble of incoherent sources. This approach clarifies the origin of the angular correlation and the relation between the gravitational wave signal that can be measured by interferometers and the energy density of the stochastic background.

12 pages

References in corpus (8)

• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Directional limits on persistent gravitational waves from Advanced LIGO's first observing run
• Mapping gravitational-wave backgrounds using methods from CMB analysis: Application to pulsar timing arrays
• First predictions of the angular power spectrum of the astrophysical gravitational wave background
• Gravitational wave radiometry: Mapping a stochastic gravitational wave background
• The effect of matter structure on the gravitational waveform
• Light propagation in a homogeneous and anisotropic universe
• A synthetic model of the gravitational wave background from evolving binary compact objects

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