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arXiv:0711.2593 (astro-ph)
[Submitted on 16 Nov 2007 (v1), last revised 13 Jan 2009 (this version, v3)]

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

Authors:Chiara Caprini, Ruth Durrer, Geraldine Servant
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Abstract: 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.
Comments: 48 pages, 14 figures. v2 (PRD version): calculation refined; plots redone starting from Fig. 4. Factor 2 in GW energy spectrum corrected. Main conclusions unchanged. v3: Note added at the end of paper to comment on the new results of 0901.1661
Subjects: Astrophysics (astro-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Report number: CERN-PH-TH/2007-206, SACLAY-T07/142
Cite as: arXiv:0711.2593 [astro-ph]
  (or arXiv:0711.2593v3 [astro-ph] for this version)
  https://doi.org/10.48550/arXiv.0711.2593
Journal reference: Phys.Rev.D77:124015,2008
Related DOI: https://doi.org/10.1103/PhysRevD.77.124015

Submission history

From: Geraldine Servant [view email]
[v1] Fri, 16 Nov 2007 12:16:04 UTC (739 KB)
[v2] Tue, 22 Apr 2008 15:21:08 UTC (659 KB)
[v3] Tue, 13 Jan 2009 19:38:30 UTC (659 KB)
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