Gravitational waves from bubble collisions: An analytic derivation

By Ryusuke Jinno, Masahiro Takimoto. 2016

171 citations recorded by the source corpus.

We consider gravitational wave production by bubble collisions during a cosmological first-order phase transition. In the literature, such spectra have been estimated by simulating the bubble dynamics, under so-called thin-wall and envelope approximations in a flat background metric. However, we show that, within these assumptions, the gravitational wave spectrum can be estimated in an analytic way. Our estimation is based on the observation that the two-point correlator of the energy-momentum tensor $\langle T(x)T(y)\rangle$ can be expressed analytically under these assumptions. Though the final expressions for the spectrum contain a few integrations that cannot be calculated explicitly, we can easily estimate it numerically. As a result, it is found that the most of the contributions to the spectrum come from single-bubble contribution to the correlator, and in addition the fall-off of the spectrum at high frequencies is found to be proportional to $f^{-1}$. We also provide fitting formulae for the spectrum.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/83056c869db3a25d05faf23e99c688975aa218f9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Ryusuke Jinno
2. Masahiro Takimoto
3. M. Hindmarsh
4. Mulham Hijazi
5. Marek Lewicki
6. T. Konstandin
7. John Ellis

In Atomic and Molecular Physics, and Optics

1. Ryusuke Jinno
2. Masahiro Takimoto
3. Mulham Hijazi
4. M. Hindmarsh

Citations in the corpus

• Gravitational waves from bubble dynamics: beyond the envelope (2017, methodology): “[36] it has been pointed out that, under the thin-wall approximation, various contributions to the correlator 〈T (x)T (y)〉 reduce to finite number of classes.”
• Gravitational waves from first order cosmological phase transitions in the Sound Shell Model (2019, background): “Other models of gravitational wave generation from sound waves in the fluid following a first order phase transition have also been put forward, focusing on the dynamics of the expanding compression waves shells in real space [16, 17].”