Anisotropies in the stochastic gravitational-wave background: Formalism and the cosmic string case

Abstract

We develop a powerful analytical formalism for calculating the energy density of the stochastic gravitational wave background, including a full description of its anisotropies. This is completely general, and can be applied to any astrophysical or cosmological source. As an example, we apply these tools to the case of a network of Nambu-Goto cosmic strings. We find that the angular spectrum of the anisotropies is relatively insensitive to the choice of model for the string network, but very sensitive to the value of the string tension $G\mu$.

25 pages, 8 figures; PRD published version

References in corpus (10)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Constraints on cosmic strings using data from the first Advanced LIGO observing run
• Cosmic string loop distribution on all length scales and at any redshift
• Stochastic gravitational waves from cosmic string loops in scaling
• Anisotropies in the astrophysical gravitational-wave background: Predictions for the detection of compact binaries by LIGO and Virgo
• The optimal search for an astrophysical gravitational-wave background
• The signal of the stochastic gravitational wave background and the angular correlation of its energy density
• Gravitational wave signatures from kink proliferation on cosmic (super-) strings

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