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Gravitational waves (GWs) originating from cosmological sources offer direct insights into the physics of the primordial Universe, the fundamental nature of gravity, and the cosmic expansion of the Universe. In this review paper, we present…

Pulsar timing arrays gathered evidence of the presence of a gravitational wave background around nHz frequencies. If the gravitational wave background was induced by large and Gaussian primordial fluctuations, they would then produce too…

General Relativity and Quantum Cosmology · Physics 2023-07-18 Shyam Balaji , Guillem Domènech , Gabriele Franciolini

For primordial black holes (PBHs) to form a considerable fraction of cold dark matter, the required amplitude of primordial scalar perturbations is quite large ($P_{\zeta}(k) \sim 10^{-2}$) if PBH is formed in radiation epoch. In alternate…

Cosmology and Nongalactic Astrophysics · Physics 2020-08-26 Sukannya Bhattacharya , Subhendra Mohanty , Priyank Parashari

The stochastic gravitational wave (GW) background is secondarily and inevitably induced by the primordial curvature perturbations beyond the first order of the cosmological perturbation theory. We analytically calculate the integration…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Takahiro Terada

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

The power spectrum of the scalar-tensor inflation with a quadratic form Ricci scalar coupling function $\Omega(\phi)=1- 2\phi/\phi_c+(1+\delta^2)(\phi/\phi_c)^2$ can be enhanced enough to produce primordial black holes and generate…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Zhu Yi

Gravitational waves are a unique probe of the early Universe, as the Universe is transparent to gravitational radiation right back to the end of inflation. In this article, we summarise detection prospects and the wide scope of primordial…

High Energy Physics - Phenomenology · Physics 2024-09-09 Rishav Roshan , Graham White

Massive black hole binaries (MBHBs) are unavoidable outcomes of the hierarchical structure formation process, and according to the theory of general relativity are expected to be the loudest gravitational wave (GW) sources in the Universe.…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 A. Sesana

We investigate an inflationary model with a non-minimal derivative coupling, where the coupling function contains both constant and periodic components. On large scales, the model is in excellent agreement with the latest…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-10 Li-Shuai Wang , Qiong-Tao Xie , Li-Yang Chen

Gravitational waves (GWs) from merging black holes allow for unprecedented probes of strong-field gravity. Testing gravity in this regime requires accurate predictions of gravitational waveform templates in viable extensions of General…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

The inspiral and merger of two orbiting black holes is among the most promising sources for the first (hopefully imminent) direct detection of gravitational waves (GWs), and measurements of these signals could provide a wealth of…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Mark Hannam

We study the prospects of detection at terrestrial and space interferometers, as well as at pulsar timing array experiments, of a stochastic gravitational wave background which can be produced in models of axion inflation. This potential…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-23 Juan Garcia-Bellido , Marco Peloso , Caner Unal

Recently, strong evidence for a gravitational wave background has been reported by collaborations of pulsar timing arrays (PTA). In the framework of scalar-induced gravitational waves (SIGWs), we concurrently investigate the second and…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-28 Sai Wang , Zhi-Chao Zhao , Qing-Hua Zhu

A perturbation on the background inflaton potential can lead inflation into the ultraslow-roll stage and can thus remarkably enhance the power spectrum ${\cal P}_{\cal R}(k)$ of the primordial curvature perturbation on small scales. Such an…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-15 Ji-Xiang Zhao , Xiao-Hui Liu , Nan Li

We investigate the prospects of detecting a stochastic gravitational wave (GW) background from the primordial black hole (PBH) reheating epoch. If PBHs form during a non-standard cosmological phase prior to the radiation-dominated era, they…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-03 Debarun Paul , Md Riajul Haque , Supratik Pal

The gravitational potential of a gas of initially randomly distributed primordial black holes (PBH) can induce a stochastic gravitational-wave (GW) background through second-order gravitational effects. This GW background can be abundantly…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-12 Theodoros Papanikolaou , Charalampos Tzerefos , Spyros Basilakos , Emmanuel N. Saridakis

We propose a scenario of primordial gravitational atoms (PGAs), which may exist in the current and past universe due to spinning primordial black holes (PBHs) and very light bosonic fields. In a monochromatic mass scenario with a sizable…

High Energy Physics - Phenomenology · Physics 2025-05-30 Zhaofeng Kang , Tianjun Li , Weitao Ye

A population of super-massive black hole binaries is expected to generate a stochastic gravitational wave background (SGWB) in the pulsar timing array (PTA) frequency range of $10^{-9}$--$10^{-7}$ Hz. Detection of this signal is a current…

Astrophysics of Galaxies · Physics 2022-02-23 Bailey Sykes , Hannah Middleton , Andrew Melatos , Tiziana Di Matteo , Colin DeGraf , Aklant Bhowmick

Massive black hole binary systems, with masses in the range ~10^4-10^10 \msun, are among the primary sources of gravitational waves in the frequency window ~10^-9 Hz - 0.1 Hz. Pulsar Timing Arrays (PTAs) and the Laser Interferometer Space…

Astrophysics · Physics 2009-11-13 Alberto Sesana , Alberto Vecchio , Carlo Nicola Colacino

Supermassive black hole binary mergers generate a stochastic gravitational wave background detectable by pulsar timing arrays. While the amplitude of this background is subject to significant uncertainties, the frequency dependence is a…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Jeff A. Dror , Benjamin V. Lehmann , Hiren H. Patel , Stefano Profumo