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Basic aspects of the background of gravitational waves and its mathematical characterization are reviewed. The spectral energy density parameter $\Omega(f)$, commonly used as a quantifier of the background, is derived for an ensemble of…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Pablo A. Rosado

We review the spectral properties of stochastic backgrounds of astrophysical origin and discuss how they may differ from the primordial contribution by their statistical properties. We show that stochastic searches with the next generation…

Astrophysics · Physics 2011-08-03 T. Regimbau , V. Mandic

Cosmological gravitational-wave backgrounds are an exciting science target for next-generation ground-based detectors, as they encode invaluable information about the primordial Universe. However, any such background is expected to be…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Haowen Zhong , Luca Reali , Bei Zhou , Emanuele Berti , Vuk Mandic

The stochastic gravitational wave background in the mHz band is a key target for future spaceborne interferometers. Detecting such a signal presents multiple challenges for data processing, especially complicated by the presence of numerous…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-22 Yang Jiang , Qing-Guo Huang

Independently from the formation mechanism of primordial black holes in the early Universe, their generation is accompanied by a ringdown phase during which they relax to a stationary configuration and gravitational waves under the form of…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Valerio De Luca , Antonio J. Iovino , Antonio Riotto

We derive a fast way for measuring primordial non-Gaussianity in a nearly full-sky map of the cosmic microwave background. We find a cubic combination of sky maps combining bispectrum configurations to capture a quadratic term in primordial…

Astrophysics · Physics 2009-11-07 Eiichiro Komatsu , David N. Spergel , Benjamin D. Wandelt

The direct detection of gravitational waves has provided new opportunities for studying the universe, but also new challenges, such as the detection and characterization of stochastic gravitational-wave backgrounds at different…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-17 Ciarán Conneely , Andrew H. Jaffe , Chiara M. F. Mingarelli

Gravitational waves (GWs) have a great potential to probe cosmology. We review early universe sources that can lead to cosmological backgrounds of GWs. We begin by presenting definitions of GWs in flat space-time and in a cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-23 Chiara Caprini , Daniel G. Figueroa

The formation of merging binary black holes can occur through multiple astrophysical channels such as, e.g., isolated binary evolution and dynamical formation or, alternatively, have a primordial origin. Increasingly large…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Simone S. Bavera , Gabriele Franciolini , Giulia Cusin , Antonio Riotto , Michael Zevin , Tassos Fragos

We consider the stochastic background of gravitational waves produced during the radiation-dominated hot big bang as a constraint on the primordial density perturbation on comoving length scales much smaller than those directly probed by…

Cosmology and Nongalactic Astrophysics · Physics 2010-04-06 Hooshyar Assadullahi , David Wands

Primordial gravitational waves are a crucial prediction of inflation theory, and their detection through their imprints on the cosmic microwave background is actively being pursued. However, these attempts have not yet been successful. In…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-06 Yan-Heng Yu , Sai Wang

Primordial density perturbations in the radiation-dominated era of the early Universe are expected to generate stochastic gravitational waves (GWs) due to nonlinear mode coupling. In this \emph{Letter}, we report on a search for such a…

General Relativity and Quantum Cosmology · Physics 2021-03-30 Shasvath J. Kapadia , Kanhaiya Lal Pandey , Teruaki Suyama , Shivaraj Kandhasamy , Parameswaran Ajith

We investigate the stochastic gravitational wave background produced by primordial black hole binaries during their early inspiral stage while accreting high-density radiation surrounding them in the early universe. We first show that the…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-20 Arnab Sarkar , K. Rajesh Nayak , A. S. Majumdar

It is thought that a stochastic background of gravitational waves was produced during the formation of the universe. A great deal could be learned by measuring this Cosmic Gravitational-wave Background (CGB), but detecting the CGB presents…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Neil J. Cornish , Shane L. Larson

Phase transitions during inflation can generate a stochastic gravitational-wave background that probes primordial physics. We study the detectability and parameter reconstruction of such a signal with a space-based gravitational-wave…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Qingyuan Liang , Chen Yang , Haipeng An , Huai-Ke Guo

The merger rate of black hole binaries inferred from the detections in the first Advanced LIGO science run, implies that a stochastic background produced by a cosmological population of mergers will likely mask the primordial…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-19 T. Regimbau , M. Evans , N. Christensen , E. Katsavounidis , B. Sathyaprakash , S. Vitale

In this work we highlight an important perspective for the complete understanding of the stochastic gravitational background structure. The stochastic gravitational wave background is perhaps the most important current and future tool…

General Relativity and Quantum Cosmology · Physics 2024-07-02 S. D. Odintsov , V. K. Oikonomou

There exist two kinds of stochastic gravitational-wave backgrounds associated with the primordial curvature perturbations. One is called induced gravitational wave due to the nonlinear coupling of curvature perturbations to tensor…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-12 Lang Liu , Xing-Yu Yang , Zong-Kuan Guo , Rong-Gen Cai

We review the motivations for the search of stochastic backgrounds of gravitational waves and we compare the experimental sensitivities that can be reached in the near future with the existing bounds and with the theoretical predictions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michele Maggiore

The next generation of ground-based gravitational-wave detectors will look much deeper into the Universe and have unprecedented sensitivities and low-frequency capabilities. Especially alluring is the possibility of detecting an…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Darsan S. Bellie , Sharan Banagiri , Zoheyr Doctor , Vicky Kalogera