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Searching for bispectrum of stochastic gravitational waves with pulsar timing arrays

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We study how to probe bispectra of stochastic gravitational waves with pulsar timing arrays. The bispectrum is a key to probe the origin of stochastic gravitational waves. In particular, the… Click to show full abstract

We study how to probe bispectra of stochastic gravitational waves with pulsar timing arrays. The bispectrum is a key to probe the origin of stochastic gravitational waves. In particular, the shape of the bispectrum carries valuable information of inflation models. We show that an appropriate filter function for three point correlations enables us to extract a specific configuration of momentum triangles in bispectra. We also calculate the overlap reduction functions and discuss strategy for detecting the bispectrum with multiple pulsars.

Keywords: gravitational waves; stochastic gravitational; timing arrays; waves pulsar; bispectrum; pulsar timing

Journal Title: Journal of Cosmology and Astroparticle Physics
Year Published: 2019

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