Gravitational waves from the sound of a first order phase transition

Abstract

We report on the first 3-dimensional numerical simulations of first-order phase transitions in the early universe to include the cosmic fluid as well as the scalar field order parameter. We calculate the gravitational wave (GW) spectrum resulting from the nucleation, expansion and collision of bubbles of the low-temperature phase, for phase transition strengths and bubble wall velocities covering many cases of interest. We find that the compression waves in the fluid continue to be a source of GWs long after the bubbles have merged, a new effect not taken properly into account in previous modelling of the GW source. For a wide range of models the main source of the GWs produced by a phase transition is therefore the sound the bubbles make.

5 pages, 4 figures; v2: Old Fig. 1 removed for space, error corrected in fluid velocity power spectra normalisation, discussion of source modelling significantly expanded, references added, conclusions unchanged, published in PRL

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