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Primordial scalar curvature perturbations ($\zeta$), typically probed on large cosmological scales via CMB and LSS observations, can be significantly enhanced on smaller scales by various early Universe mechanisms, for instance, non-minimal…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-30 Mauro Pieroni

We study the scalar induced tensor perturbations at second order during matter domination in seven different gauges. Considering the obtained solution from the Newtonian gauge, we use the gauge transformation law of the scalar induced…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Arshad Ali , Yungui Gong , Yizhou Lu

We discuss a novel mechanism to generate gravitational waves in the early universe. A standard way to produce primordial black holes is to enhance at small-scales the overdensity perturbations generated during inflation. The latter, upon…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-09 V. De Luca , V. Desjacques , G. Franciolini , A. Riotto

We investigate the gauge invariance of the second order gravitational waves induced by the first order scalar perturbations by following the Lie derivative method. It is shown explicitly that the second order gravitational waves are gauge…

General Relativity and Quantum Cosmology · Physics 2020-09-30 Zhe Chang , Sai Wang , Qing-Hua Zhu

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

Many early universe scenarios predict an enhancement of scalar perturbations at scales currently unconstrained by cosmological probes. These perturbations source gravitational waves (GWs) at second order in perturbation theory, leading to a…

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…

We provide a review on the state-of-the-art of gravitational waves induced by primordial fluctuations, so-called induced gravitational waves. We present the intuitive physics behind induced gravitational waves and we revisit and unify the…

General Relativity and Quantum Cosmology · Physics 2021-11-08 Guillem Domènech

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

Working in an arbitrary gauge, we derive the source term for scalar-induced gravitational waves (SIGW) valid during a general reheating epoch. The dominant energy component is allowed to transition smoothly from an inflaton field to a set…

General Relativity and Quantum Cosmology · Physics 2026-05-28 M. Laine , S. Procacci

We study the production of scalar-induced gravitational waves and primordial black holes in a single-field inflation model with a localized bump or dip feature in the potential. Introducing such a localized feature temporarily decelerates…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-13 Xiang Zhang , Zhao-Huan Yu

We investigate the scalar induced gravitational waves (SIGWs) in metric teleparallel gravity with the Nieh-Yan (NY) term, which results in parity violation during the radiation-dominated era. By solving the equations of motion of linear…

General Relativity and Quantum Cosmology · Physics 2024-07-24 Fengge Zhang , Jia-Xi Feng , Xian Gao

We explore the cosmological and astrophysical implications of a realistic hybrid inflation model based on flipped $SU(5)$. The model contains superheavy metastable cosmic strings arising from a waterfall field that encounters a limited…

High Energy Physics - Phenomenology · Physics 2025-01-03 Rinku Maji , Ahmad Moursy , Qaisar Shafi

We study the formation of primordial black hole (PBH) dark matter and the generation of scalar induced secondary gravitational waves (SIGWs) in a non-supersymmetric model of hybrid inflation with chaotic (polynomial-like) potential,…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-27 Waqas Ahmed , M. Junaid , Umer Zubair

It is investigated the gravitational waves phenomena in the geometric scalar theory of gravity (GSG), a class of theories such that gravity is described by a single scalar field. The associated physical metric describing the spacetime is…

General Relativity and Quantum Cosmology · Physics 2019-08-16 Júnior Diniz Toniato

The formation of primordial black holes or other dark matter relics from amplified density fluctuations in the early universe may also generate scalar-induced gravitational waves (GW), carrying vital information about the primordial power…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-25 Aya Ghaleb , Ameek Malhotra , Gianmassimo Tasinato , Ivonne Zavala

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

The question of whether the parity violation occurs in gravitational interaction has recently attracted much attention. In this paper, we investigate the scalar induced gravitational waves (SIGWs) in symmetric teleparallel gravity…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Fengge Zhang

Stochastic background of gravitational waves (GW) generated by the interactions between primordial black holes (PBH) in the early universe and by PBH evaporation is considered. If PBHs dominated in the cosmological energy density prior to…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 A. D. Dolgov

We investigate density fluctuations and scalar-induced gravitational waves (GWs) arising from the production of long-lived solitons and oscillons, which can dominate the early Universe and drive reheating prior to the standard…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-22 Xiao-Bin Sui , Jing Liu , Rong-Gen Cai