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This paper discusses the gauge issue touching the gravitational waves induced at the second order by the scalar modes of cosmological perturbations. These waves are known to depend on the gauge used for their calculation. In this paper, we…

广义相对论与量子宇宙学 · 物理学 2023-09-27 Vincent Comeau

We derive the complete spectrum of gravitational waves induced by primordial scalar perturbations ranging over all observable wavelengths. This scalar-induced contribution can be computed directly from the observed scalar perturbations and…

高能物理 - 理论 · 物理学 2008-11-26 Daniel Baumann , Kiyotomo Ichiki , Paul J. Steinhardt , Keitaro Takahashi

In this review we look into the gauge-dependence of scalar-induced gravitational waves (SIGWs) that are second-order tensors produced by first-order scalar-modes. The method includes deriving the background, first- and second-order Einstein…

广义相对论与量子宇宙学 · 物理学 2025-06-27 Anjali Abirami Kugarajh

Scalar induced gravitational waves contribute to the cosmological gravitational wave background. They can be related to the primordial density power spectrum produced towards the end of inflation and therefore are a convenient new tool to…

宇宙学与河外天体物理 · 物理学 2024-10-10 Raphael Picard , Karim A. Malik

At second-order, scalar perturbations can source traceless and transverse perturbations to the metric, called induced gravitational waves (IGW). The apparent gauge-dependence of the IGW obscures the interpretation of the stochastic…

宇宙学与河外天体物理 · 物理学 2021-11-09 James Gurian , Donghui Jeong , Jai-chan Hwang , Hyerim Noh

Second-order tensor modes induced by nonlinear gravity are a key component of the cosmological background of gravitational waves. A detection of this background would allow us to probe the primordial power spectrum at otherwise inaccessible…

广义相对论与量子宇宙学 · 物理学 2022-10-05 Atsuhisa Ota , Hayley J. Macpherson , William R. Coulton

We study gauge (in)dependence of the gravitational waves (GWs) induced from curvature perturbations. For the GWs produced in a radiation-dominated era, we find that the observable (late-time) GWs in the TT gauge and in the Newtonian gauge…

广义相对论与量子宇宙学 · 物理学 2020-01-29 Keisuke Inomata , Takahiro Terada

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…

广义相对论与量子宇宙学 · 物理学 2021-02-17 Arshad Ali , Yungui Gong , Yizhou Lu

We investigate the non-Gaussianity of second-order matter density perturbations induced by primordial gravitational waves (GWs). These tensor-induced scalar modes arise from local fluctuations in the GWs energy density, which is quadratic…

宇宙学与河外天体物理 · 物理学 2026-05-12 Mariam Abdelaziz , Pritha Bari , Sabino Matarrese , Angelo Ricciardone

This thesis focuses on gravitational waves (GWs) that arise beyond linear order in cosmological perturbation theory. In recent years, scalar-induced GWs have attracted significant attention because they may serve as the observational…

宇宙学与河外天体物理 · 物理学 2026-01-13 Raphael Picard

We study the induced primordial gravitational waves (GW) coming from the effect of scalar perturbation on the tensor perturbation at the second order of cosmological perturbation theory. We use the evolution of the standard model degrees of…

高能物理 - 唯象学 · 物理学 2020-02-19 Fazlollah Hajkarim , Jürgen Schaffner-Bielich

The cosmological stochastic gravitational-wave background produced by the mildly non-linear evolution of density fluctuations is analyzed, in the frame of an Einstein-de Sitter model, by means of a fully relativistic perturbation expansion…

天体物理学 · 物理学 2007-05-23 Sabino Matarrese , Silvia Mollerach

Gravitational waves (GWs) induced by scalar curvature fluctuations are an important source of the cosmological GW background and a crucial counterpart of the primordial black hole scenario. However, doubts have been cast on the…

广义相对论与量子宇宙学 · 物理学 2021-04-14 Guillem Domènech , Misao Sasaki

We revisit and clarify the gauge dependence of gravitational waves generated at second order from scalar perturbations. In a universe dominated by a perfect fluid with a constant equation-of-state parameter $w$, we compute the energy…

广义相对论与量子宇宙学 · 物理学 2020-04-29 Keitaro Tomikawa , Tsutomu Kobayashi

We present a new approach to gauge-invariant cosmological perturbations at second order, which is also covariant. We examine two cases in particular for a dust Friedman-Lemaitre-Robertson-Walker model of any curvature: we investigate…

天体物理学 · 物理学 2014-10-13 Chris Clarkson

This paper explores the physics of second-order gravitational waves (GWs) induced by scalar-tensor perturbation interactions in the radiation-dominated Universe. We investigate the distinctive signatures of these GWs and their detectability…

宇宙学与河外天体物理 · 物理学 2024-06-04 Pritha Bari , Nicola Bartolo , Guillem Domènech , Sabino Matarrese

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…

广义相对论与量子宇宙学 · 物理学 2020-09-30 Zhe Chang , Sai Wang , Qing-Hua Zhu

We study the generation and evolution of second-order energy-density perturbations arising from primordial gravitational waves. Such "tensor-induced scalar modes" approximately evolve as standard linear matter perturbations and may leave…

宇宙学与河外天体物理 · 物理学 2022-08-30 Pritha Bari , Angelo Ricciardone , Nicola Bartolo , Daniele Bertacca , Sabino Matarrese

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…

宇宙学与河外天体物理 · 物理学 2024-06-06 Yan-Heng Yu , Sai Wang

There is currently no rigorous definition of gravitational wave strain at second order in cosmological perturbation theory. The usual association of gravitational waves with transverse and traceless fluctuations of the metric on spatial…

广义相对论与量子宇宙学 · 物理学 2026-01-05 Guillem Domènech , Shi Pi , Ao Wang
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