Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach

Details Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach Gravitational wave generation from bubble collisions in first-order phase transitions: an analytic approach

2007-11-16

arxiv.org/abs/0711.2593v3

Phys.Rev.D77:124015,2008

Astronomy and Astrophysics

Astrophysics

48 pages, 14 figures. v2 (PRD version): calculation refined; plots redone starting from Fig. 4. Factor 2 in GW energy spectrum

Scientific paper

10.1103/PhysRevD.77.124015

Gravitational wave production from bubble collisions was calculated in the early nineties using numerical simulations. In this paper, we present an alternative analytic estimate, relying on a different treatment of stochasticity. In our approach, we provide a model for the bubble velocity power spectrum, suitable for both detonations and deflagrations. From this, we derive the anisotropic stress and analytically solve the gravitational wave equation. We provide analytical formulae for the peak frequency and the shape of the spectrum which we compare with numerical estimates. In contrast to the previous analysis, we do not work in the envelope approximation. This paper focuses on a particular source of gravitational waves from phase transitions. In a companion article, we will add together the different sources of gravitational wave signals from phase transitions: bubble collisions, turbulence and magnetic fields and discuss the prospects for probing the electroweak phase transition at LISA.

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