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We compute the gravitational wave (GW) spectrum sourced by sound waves produced during a first-order phase transition in the radiation-dominated epoch. The correlator of the velocity field is evaluated in accordance with the sound shell…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Alberto Roper Pol , Simona Procacci , Chiara Caprini

We present results from large-scale numerical simulations of a first order thermal phase transition in the early universe, in order to explore the shape of the acoustic gravitational wave and the velocity power spectra. We compare the…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-16 Mark Hindmarsh , Stephan J. Huber , Kari Rummukainen , David J. Weir

Gravitational waves (GWs) generated by a first-order phase transition at the electroweak scale are detectable by future space-based detectors like LISA. The lifetime of the resulting shock waves plays an important role in determining the…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Jani Dahl , Mark Hindmarsh , Kari Rummukainen , David Weir

A model for the acoustic production of gravitational waves at a first order phase transition is presented. The source of gravitational radiation is the sound waves generated by the explosive growth of bubbles of the stable phase. The model…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Mark Hindmarsh

We present details of numerical simulations of the gravitational radiation produced by a first order thermal phase transition in the early universe. We confirm that the dominant source of gravitational waves is sound waves generated by the…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-08 Mark Hindmarsh , Stephan J. Huber , Kari Rummukainen , David J. Weir

Observations have recently indicated that the Universe at the present stage is in an accelerating expansion, a process that has great implications. We evaluate the spectrum of relic gravitational waves in the current accelerating Universe…

Astrophysics · Physics 2007-05-23 Yang Zhang , Yefei Yuan , Wen Zhao , Ying-Tian Chen

Standard perturbative calculations of scalar-induced gravitational waves (SIGWs) have neglected nonperturbative effects in the large-amplitude regime. We develop a hybrid numerical framework to signify nonperturbative effects on the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Zhuan Ning , Zi-Yan Yuwen , Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

We calculate gravitational wave power spectra from first order early Universe phase transitions using the Sound Shell Model. The model predicts that the power spectrum depends on the mean bubble separation, the phase transition strength,…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Mark Hindmarsh , Mulham Hijazi

We study the stochastic gravitational wave (GW) background induced by the primordial scalar perturbation with the spectrum having a lognormal peak of width $\Delta$ at $k=k_*$. We derive an analytical formula for the GW spectrum…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Shi Pi , Misao Sasaki

We study the production of relic gravitational waves (GWs) in turbulent hypermagnetic fields (HMFs) in the symmetric phase of the early universe before the electroweak phase transition (EWPT). The noise of HMFs is modeled by the analog of…

High Energy Physics - Phenomenology · Physics 2022-01-13 Maxim Dvornikov

[Abridged] The primary gravitational waves (PGWs) are generated in the early universe from the quantum vacuum during inflation. In slow roll inflation, the power spectrum (PS) of PGWs over large scales, which leave the Hubble radius during…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-14 Alipriyo Hoory , Jerome Martin , Arnab Paul , L. Sriramkumar

A large primordial density perturbation of the Hubble scale will gravitationally collapse, generating an outgoing sound shell, whether or not a primordial black hole (PBH) is formed. In this Letter, we report a hybrid numerical analysis of…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Xiang-Xi Zeng , Zhuan Ning , Zi-Yan Yuwen , Shao-Jiang Wang , Heling Deng , Rong-Gen Cai

We revisit the production of gravitational waves from unstable domain walls analyzing their spectrum by the use of field theoretic lattice simulations with grid size $1024^3$, which is larger than the previous study. We have recognized that…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-21 Takashi Hiramatsu , Masahiro Kawasaki , Ken'ichi Saikawa

We conduct large scale numerical simulations of gravitational wave production at a first order vacuum phase transition. We find a power law for the gravitational wave power spectrum at high wavenumber which falls off as $k^{-1.5}$ rather…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-20 Daniel Cutting , Mark Hindmarsh , David J. Weir

Gravitational waves from a phase transition associated with the generation of the masses of elementary particles are within the reach of future space-based detectors such as LISA. A key determinant of the resulting power spectrum, not…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Jani Dahl , Mark Hindmarsh , Kari Rummukainen , David Weir

We undertake a careful analysis of stochastic gravitational wave production from cosmological phase transitions in an expanding universe, studying both a standard radiation as well as a matter dominated history. We analyze in detail the…

High Energy Physics - Phenomenology · Physics 2021-01-07 Huai-Ke Guo , Kuver Sinha , Daniel Vagie , Graham White

[Abridged] In slow roll inflation, the power spectrum (PS) of primary gravitational waves (PGWs) generated from the quantum vacuum rises as $k^2$ over wave numbers $k$ which never leave the Hubble radius. In fact, over such small scales,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Alipriyo Hoory , Jerome Martin , Arnab Paul , L. Sriramkumar

Networks of cosmic domain walls can form in the early Universe as a consequence of the spontaneous breaking of discrete symmetries. We study the production of a cosmological background of gravitational waves (GWs) from such networks, when…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-18 Alessio Notari , Fabrizio Rompineve , Francisco Torrenti

We calculate the gravitational wave power spectrum from sound waves in a cosmological first order phase transition in the unexplored regime of large bubbles, by which we mean that the mean bubble spacing $R_*$ is a non-negligible fraction…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Lorenzo Giombi , Jani Dahl , Mark Hindmarsh

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…

High Energy Physics - Phenomenology · Physics 2014-01-30 Mark Hindmarsh , Stephan J. Huber , Kari Rummukainen , David J. Weir
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