Built on

A. D. Linde, “On the Vacuum Instability and the Higgs Meson Mass,”
1977
Earlier work this paper cites.
A. A. Starobinsky, “Spectrum of relict gravitational radiation and the early state of the universe,”
1979
Earlier work this paper cites.
A. D. Linde, “Decay of the False Vacuum at Finite Temperature,”
1983
Earlier work this paper cites.
E. Witten, “Cosmic Separation of Phases,”
1984
Earlier work this paper cites.
C. J. Hogan, “Gravitational radiation from cosmological phase transitions,”
1986
Earlier work this paper cites.
A. Kosowsky, M. S. Turner, and R. Watkins, “Gravitational radiation from colliding vacuum bubbles,”
1992
Earlier work this paper cites.
M. S. Turner, E. J. Weinberg, and L. M. Widrow, “Bubble nucleation in first order inflation and other cosmological phase transitions,”
1992
Earlier work this paper cites.
A. Kosowsky and M. S. Turner, “Gravitational radiation from colliding vacuum bubbles: envelope approximation to many bubble collisions,”
1993
Earlier work this paper cites.
M. Kamionkowski, A. Kosowsky, and M. S. Turner, “Gravitational radiation from first order phase transitions,”
1994
Earlier work this paper cites.
K. Kajantie, M. Laine, K. Rummukainen, and M. E. Shaposhnikov, “Is there a hot electroweak phase transition at m(H) larger or equal to m(W)?,”
1996
Earlier work this paper cites.
S. Y. Khlebnikov and I. I. Tkachev, “Relic gravitational waves produced after preheating,”
1997
Earlier work this paper cites.
M. Gurtler, E.-M. Ilgenfritz, and A. Schiller, “Where the electroweak phase transition ends,”
1997
Earlier work this paper cites.
F. Csikor, Z. Fodor, and J. Heitger, “Endpoint of the hot electroweak phase transition,”
1999
Earlier work this paper cites.
Cambridge University Press, 2000
A. Vilenkin and E. P. S. Shellard, · 2000
Earlier work this paper cites.
N. Seto, S. Kawamura, and T. Nakamura, “Possibility of direct measurement of the acceleration of the universe using 0.1-Hz band laser interferometer gravitational wave antenna in space,”
2001
Earlier work this paper cites.
R. Apreda, M. Maggiore, A. Nicolis, and A. Riotto, “Supersymmetric phase transitions and gravitational waves at LISA,”
2001
Earlier work this paper cites.
R. Apreda, M. Maggiore, A. Nicolis, and A. Riotto, “Gravitational waves from electroweak phase transitions,”
2002
Earlier work this paper cites.
A. Kosowsky, A. Mack, and T. Kahniashvili, “Gravitational radiation from cosmological turbulence,”
2002
Earlier work this paper cites.
A. Nicolis, “Relic gravitational waves from colliding bubbles and cosmic turbulence,”
2004
Earlier work this paper cites.
T. Hahn, “CUBA: A Library for multidimensional numerical integration,”
2005
Earlier work this paper cites.
G. M. Harry, P. Fritschel, D. A. Shaddock, W. Folkner, and E. S. Phinney, “Laser interferometry for the big bang observer,”
2006
Earlier work this paper cites.
C. Caprini and R. Durrer, “Gravitational waves from stochastic relativistic sources: Primordial turbulence and magnetic fields,”
2006
Earlier work this paper cites.
C. Grojean and G. Servant, “Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond,”
2007
Earlier work this paper cites.
J. R. Espinosa, T. Konstandin, J. M. No, and M. Quiros, “Some Cosmological Implications of Hidden Sectors,”
Original
2008
Earlier work this paper cites.
S. J. Huber and T. Konstandin, “Gravitational Wave Production by Collisions: More Bubbles,”
Original
2008
Earlier work this paper cites.
C. Caprini, R. Durrer, and G. Servant, “Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach,”
Original
2008
Earlier work this paper cites.
A. Ashoorioon and T. Konstandin, “Strong electroweak phase transitions without collider traces,”
Original
2009
Earlier work this paper cites.
C. Caprini, R. Durrer, and G. Servant, “The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition,”
Original
2009
Earlier work this paper cites.
D. Bodeker and G. D. Moore, “Can electroweak bubble walls run away?,”
Original
2009
Earlier work this paper cites.

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2017

Gravitational waves from bubble dynamics: Beyond the Envelope

Jinno, Ryusuke, Takimoto, Masahiro

Understand

We study gravitational-wave production from bubble dynamics (bubble collisions and sound waves) during a cosmic first-order phase transition with an analytic approach.

We first propose modeling the system with the thin-wall approximation but without the envelope approximation often adopted in the literature, in order to take bubble propagation after collisions into account.
The bubble walls in our setup are considered as modeling the scalar field configuration and/or the bulk motion of the fluid.
We next write down analytic expressions for the gravitational-wave spectrum, and evaluate them with numerical methods.

Built on

A. D. Linde, “On the Vacuum Instability and the Higgs Meson Mass,”
1977
Earlier work this paper cites.
A. A. Starobinsky, “Spectrum of relict gravitational radiation and the early state of the universe,”
1979
Earlier work this paper cites.
A. D. Linde, “Decay of the False Vacuum at Finite Temperature,”
1983
Earlier work this paper cites.
E. Witten, “Cosmic Separation of Phases,”
1984
Earlier work this paper cites.
C. J. Hogan, “Gravitational radiation from cosmological phase transitions,”
1986
Earlier work this paper cites.
A. Kosowsky, M. S. Turner, and R. Watkins, “Gravitational radiation from colliding vacuum bubbles,”
1992
Earlier work this paper cites.
M. S. Turner, E. J. Weinberg, and L. M. Widrow, “Bubble nucleation in first order inflation and other cosmological phase transitions,”
1992
Earlier work this paper cites.
A. Kosowsky and M. S. Turner, “Gravitational radiation from colliding vacuum bubbles: envelope approximation to many bubble collisions,”
1993
Earlier work this paper cites.
M. Kamionkowski, A. Kosowsky, and M. S. Turner, “Gravitational radiation from first order phase transitions,”
1994
Earlier work this paper cites.
K. Kajantie, M. Laine, K. Rummukainen, and M. E. Shaposhnikov, “Is there a hot electroweak phase transition at m(H) larger or equal to m(W)?,”
1996
Earlier work this paper cites.
S. Y. Khlebnikov and I. I. Tkachev, “Relic gravitational waves produced after preheating,”
1997
Earlier work this paper cites.
M. Gurtler, E.-M. Ilgenfritz, and A. Schiller, “Where the electroweak phase transition ends,”
1997
Earlier work this paper cites.
F. Csikor, Z. Fodor, and J. Heitger, “Endpoint of the hot electroweak phase transition,”
1999
Earlier work this paper cites.
Cambridge University Press, 2000
A. Vilenkin and E. P. S. Shellard, · 2000
Earlier work this paper cites.
N. Seto, S. Kawamura, and T. Nakamura, “Possibility of direct measurement of the acceleration of the universe using 0.1-Hz band laser interferometer gravitational wave antenna in space,”
2001
Earlier work this paper cites.
R. Apreda, M. Maggiore, A. Nicolis, and A. Riotto, “Supersymmetric phase transitions and gravitational waves at LISA,”
2001
Earlier work this paper cites.
R. Apreda, M. Maggiore, A. Nicolis, and A. Riotto, “Gravitational waves from electroweak phase transitions,”
2002
Earlier work this paper cites.
A. Kosowsky, A. Mack, and T. Kahniashvili, “Gravitational radiation from cosmological turbulence,”
2002
Earlier work this paper cites.
A. Nicolis, “Relic gravitational waves from colliding bubbles and cosmic turbulence,”
2004
Earlier work this paper cites.
T. Hahn, “CUBA: A Library for multidimensional numerical integration,”
2005
Earlier work this paper cites.
G. M. Harry, P. Fritschel, D. A. Shaddock, W. Folkner, and E. S. Phinney, “Laser interferometry for the big bang observer,”
2006
Earlier work this paper cites.
C. Caprini and R. Durrer, “Gravitational waves from stochastic relativistic sources: Primordial turbulence and magnetic fields,”
2006
Earlier work this paper cites.
C. Grojean and G. Servant, “Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond,”
2007
Earlier work this paper cites.
J. R. Espinosa, T. Konstandin, J. M. No, and M. Quiros, “Some Cosmological Implications of Hidden Sectors,”
Original
2008
Earlier work this paper cites.
S. J. Huber and T. Konstandin, “Gravitational Wave Production by Collisions: More Bubbles,”
Original
2008
Earlier work this paper cites.
C. Caprini, R. Durrer, and G. Servant, “Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach,”
Original
2008
Earlier work this paper cites.
A. Ashoorioon and T. Konstandin, “Strong electroweak phase transitions without collider traces,”
Original
2009
Earlier work this paper cites.
C. Caprini, R. Durrer, and G. Servant, “The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition,”
Original
2009
Earlier work this paper cites.
D. Bodeker and G. D. Moore, “Can electroweak bubble walls run away?,”
Original
2009
Earlier work this paper cites.