Clustering correlations and limits on cosmological gravitational waves

Statistics – Computation

Scientific paper

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Cosmology, Galactic Clusters, Gravitational Waves, Red Shift, Relativistic Theory, Astronomical Models, Computational Astrophysics, Correlation, Energy Distribution, Time Dependence

Scientific paper

A cosmological background of gravitational waves induces angular deviations in the propagation of light traversing it. All observed astrophysical sources might therefore have varying apparent positions, with the time dependence set by the wave period. The author examines wavelenghts greater than a kiloparsec so the positions are frozen but in general correlated. Comparison with observed galaxy-galaxy n-point correlation functions provide a spectrum-independent limit on the energy density of gravitational waves with wavelenghts between a few tens of kiloparsecs and a few hundred megaparsecs of ΩGW< 10-3.

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