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Primordial black holes (PBHs) are supposed to form from the collapse of over-densed regions generated by large scalar curvature perturbations in the radiation dominated era. Despite decades of various independent observations, the nature of…

Astrophysics of Galaxies · Physics 2021-08-31 Chen Yuan , Qing-Guo Huang

In this paper, we systematically study gravitational waves (GWs) produced by remote compact astrophysical sources. To describe such GWs properly, we introduce three scales, $\lambda, \; L_c$ and $L$, denoting, respectively, the typical…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Jared Fier , Xiongjun Fang , Bowen Li , Shinji Mukohyama , Anzhong Wang , Tao Zhu

Scalar-induced gravitational waves (SIGWs) provide a powerful probe of inflationary dynamics on scales far smaller than those accessible to the cosmic microwave background and large-scale structure. In scenarios with a transient…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-07 Angelo Caravano , Gabriele Franciolini , Sébastien Renaux-Petel

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

Primordial black holes are a unique probe of the early Universe and offer a potential link between inflationary dynamics and dark matter. In a recent work \cite{Inui:2024fgk}, we analyse PBH formation and the associated stochastic…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-28 Cristian Joana

The scalar perturbation induced gravitational waves are a probe of the primordial density perturbation spectrum on small scales. In this paper, we show that they can also probe the thermal history of the universe. We assume the universe…

General Relativity and Quantum Cosmology · Physics 2020-08-12 Guillem Domènech , Shi Pi , Misao Sasaki

The formation of primordial black hole (PBH) dark matter and the generation of scalar induced secondary gravitational waves (SIGWs) have been studied in the generic no-scale supergravity inflationary models. By adding an exponential term to…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Lina Wu , Yungui Gong , Tianjun Li

We give an analytical approximation for the energy spectrum of the scalar-induced gravitational waves (SIGWs) generated by a broken power-law power spectrum, and find that both the asymptotic power-law tails and the intermediate peak…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Chong-Zhi Li , Chen Yuan , Qing-guo Huang

We investigate the gravitational waves phenomena in the geometric scalar theory of gravity (GSG) that belongs to a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the…

General Relativity and Quantum Cosmology · Physics 2019-05-16 J. D. Toniato , M. Novello

We consider black hole formation due to the gravitational collapse produced by large density fluctuations during an epoch of reheating with a stiff equation of state and calculate the induced gravitational wave spectrum. By considering the…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-01 Chiara Altavista , Julián Rey

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

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

After the inflationary phase, the universe enters the preheating phase, during which the inflaton field rolls down its potential and oscillates. When the potential significantly deviates from a parabolic shape at its minimum, these…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-21 Daniel del-Corral , Paolo Gondolo , K. Sravan Kumar , João Marto

In this paper, we investigate the gravitational collapse to form the black hole in the acceleratingly expanding universe in the frame of Einstein--Gauss-Bonnet theory having two scalar fields and we study the propagation of the…

General Relativity and Quantum Cosmology · Physics 2024-10-01 Shin'ichi Nojiri , G. G. L. Nashed

We study the second order scalar and density perturbations generated by the Gaussian curvature perturbations and primordial gravitational waves in the radiation-dominated era. After presenting all the possible second-order source terms, we…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-30 Zhe Chang , Yu-Ting Kuang , Xukun Zhang , Jing-Zhi Zhou

We study the effect of primordial scalar curvature perturbations on the propagation of gravitational waves over cosmic distances. We point out that such curvature perturbations deform the isotropic spectrum of any stochastic background of…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-01 Valerie Domcke , Ryusuke Jinno , Henrique Rubira

We provide a pedagogical approach to gravitational waves in cosmology with focus on gravitational wave signals related to primordial black holes. These lectures notes contain more details than one is able to present in the two two-hour…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Guillem Domènech

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

We analyze the spectrum of gravitational waves generated by the induced spectrum of tensor fluctuation during warm natural inflation. In our previous work it has been demonstrated that an epoch of warm natural inflation can lead to…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-19 Miguel Correa , Mayukh R. Gangopadhyay , Nur Jaman , Grant J. Mathews

We investigate a new mechanism to create large curvature perturbations on small scales due to parameter resonance in a single-field inflationary model with a small periodic structure upon the potential. After reentering the horizon, the…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-17 Rong-Gen Cai , Zong-Kuan Guo , Jing Liu , Lang Liu , Xing-Yu Yang
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