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In addition to the usual linear gravitational waves in transverse-traceless coordinates, higher-order gravitational field equations, as well as their corresponding solutions, are explicitly obtained. It is found that higher-order waves do…

General Relativity and Quantum Cosmology · Physics 2015-04-30 H. Arcos , M. Krssak , J. G. Pereira

The direct detection of gravitational wave by Laser Interferometer Gravitational-Wave Observatory indicates the coming of the era of gravitational-wave astronomy and gravitational-wave cosmology. It is expected that more and more…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Rong-Gen Cai , Zhoujian Cao , Zong-Kuan Guo , Shao-Jiang Wang , Tao Yang

We derive an asymptotic solution of the Einstein field equations which describes the propagation of a thin, large amplitude gravitational wave into a curved space-time. The resulting equations have the same form as the colliding plane wave…

Analysis of PDEs · Mathematics 2009-10-31 G. Ali , J. K. Hunter

We present a comprehensive theoretical framework for gravitational wave (GW) propagation and their \textbf{nonlinear backreaction} in $f(R, G)$ modified gravity. By developing a scalar-tensor formulation with two auxiliary fields, we…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Farzad Milani

First-order primordial curvature perturbations are known to induce gravitational waves at the second-order, which can in turn probe the small-scale curvature perturbations near the end of the inflation. In this work, we extend the previous…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-21 Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

Gravitational waves (GWs) are fluctuations in the fabric of spacetime predicted by Einstein's theory of general relativity. Using a collection of millisecond pulsars as high-precision clocks, the nanohertz band of this radiation is likely…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-13 P. Demorest , J. Lazio , A. Lommen

Cosmological stochastic gravitational waves (GWs) induced by a spectator field are usually expected to have an amplitude very small compared with those generated by the curvature perturbation, or equivalently by a field dominating the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Mohammad Ali Gorji , Misao Sasaki

If primordial scalar or tensor perturbations are enhanced on short scales, it may lead to the production of observable gravitational wave signals. These waves may be sourced by scalar-scalar, scalar-tensor or tensor-tensor interactions.…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-24 Raphaël Picard , Matthew W. Davies

Gravitational waves (GWs) from distant sources such as inspiralling and merging stellar-mass compact binaries, intermediate-mass and supermassive-binary-black-hole can be gravitationally lensed by intervening objects, ranging from stars and…

High Energy Astrophysical Phenomena · Physics 2026-05-19 Zhiwei Chen , Youjun Lu

We study periodic, two-dimensional, gravity-capillary traveling wave solutions to a viscous shallow water system posed on an inclined plane. While thinking of the Reynolds and Bond numbers as fixed and finite, we vary the speed of the…

Analysis of PDEs · Mathematics 2024-11-22 Noah Stevenson

We study the gravitational wave (GW) signal sourced by primordial turbulence that is assumed to be present at cosmological phase transitions like the electroweak and quantum chromodynamics phase transitions. We consider various models of…

General Relativity and Quantum Cosmology · Physics 2021-06-28 Axel Brandenburg , Grigol Gogoberidze , Tina Kahniashvili , Sayan Mandal , Alberto Roper Pol , Nakul Shenoy

Assuming that inflation is succeeded by a phase of matter domination, which corresponds to a low temperature of reheating $T_r<10^9\rm{GeV}$, we evaluate the spectra of gravitational waves induced in the post-inflationary universe. We work…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Laila Alabidi , Kazunori Kohri , Misao Sasaki , Yuuiti Sendouda

We revisit the effects of an early matter-dominated era on gravitational waves induced by scalar perturbations. We carefully take into account the evolution of the gravitational potential, the source of these induced gravitational waves,…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-01 Keisuke Inomata , Kazunori Kohri , Tomohiro Nakama , Takahiro Terada

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

Soon, the combination of electromagnetic and gravitational signals will open the door to a new era of gravitational-wave (GW) cosmology. It will allow us to test the propagation of tensor perturbations across cosmic time and study the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Guadalupe Cañas-Herrera , Omar Contigiani , Valeri Vardanyan

Gravitational-wave astronomy will soon become a new tool for observing the Universe. Detecting and interpreting gravitational waves will require deep theoretical insights into astronomical sources. The past three decades have seen…

General Relativity and Quantum Cosmology · Physics 2015-04-03 Alessandra Buonanno , B. S. Sathyaprakash

We further analyze phenomenological implications of double axion monodromy inflation proposed in Ref. Phys. Rev. D 104, L081302 (2021), in gravitational wave physics. We show that in addition to chiral gravitational waves (GW) originating…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Medeu Abishev , Aigerim Abylayeva , Andrea Addazi , Yermek Aldabergenov , Daulet Berkimbayev

In this paper we construct negatively curved Einstein spaces describing gravitational waves having a solvegeometry wave-front (i.e., the wave-fronts are solvable Lie groups equipped with a left-invariant metric). Using the Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sigbjorn Hervik

Twisted gravitational waves (TGWs) are nonplanar unidirectional Ricci-flat solutions of general relativity. Thus far only TGWs of Petrov type \emph{II} are implicitly known that depend on a solution of a partial differential equation and…

General Relativity and Quantum Cosmology · Physics 2018-09-25 Kjell Rosquist , Donato Bini , Bahram Mashhoon