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We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

High Energy Physics - Theory · Physics 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes

In general relativity (GR), linearized gravitational waves propagating in empty Minkowski spacetime along a fixed spatial direction have the property that the wave front is the Euclidean plane. Beyond the linear regime, exact plane waves in…

General Relativity and Quantum Cosmology · Physics 2018-03-23 Donato Bini , Carmen Chicone , Bahram Mashhoon

We study conversion processes between gravitons and dark photons and reveal the effects of dark photons on the polarization of gravitational waves. Considering cosmological dark magnetic fields, we investigate the evolution of the intensity…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Kimihiro Nomura , Jiro Soda , Kazushige Ueda , Ziwei Wang

We introduce a new multipole formalism for polarized radiative transfer in general spacetime geometries. The polarization tensor is expanded in terms of coordinate-independent, projected symmetric trace-free (PSTF) tensor-valued multipoles.…

Astrophysics · Physics 2009-10-31 Anthony Challinor

Linearly polarized cylindrical waves in four-dimensional vacuum gravity are mathematically equivalent to rotationally symmetric gravity coupled to a Maxwell (or Klein-Gordon) field in three dimensions. The quantization of this latter system…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Maria E. Angulo , Guillermo A. Mena Marugan

We analyze the gravitational waves propagation in metric $f(R)$ theories of gravity. In particular, adopting a gauge invariant formalism we clearly determine the exact propagating degrees of freedom. Then, investigating their effects on…

General Relativity and Quantum Cosmology · Physics 2019-10-11 Fabio Moretti , Flavio Bombacigno , Giovanni Montani

Teleparallel theory of gravity and its modifications have been studied extensively in literature. However, gravitational waves has not been studied enough in the framework of teleparallelism. In the present study, we discuss gravitational…

General Relativity and Quantum Cosmology · Physics 2018-07-04 Habib Abedi , Salvatore Capozziello

We show that the self-interactions present in the effective field theory formulation of general relativity can couple gravitational wave modes and generate nonclassical states. The output of gravitational nonlinear processes can also be…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Thiago Guerreiro

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

Rastall theory, originally introduced in 1972, suggests a violation of the usual conservation law. We consider two generalizations of Rastall theory: Brans-Dicke-Rastall theory and the newly established scalar-tensor-Rastall theory, the…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

In the general theory of relativity, gravitational waves have two possible polarizations, which are transverse and traceless with helicity $\pm 2$. Some alternatives theories contain additional helicity $0$ and helicity $\pm 1$ polarization…

General Relativity and Quantum Cosmology · Physics 2019-03-25 Bruce Allen

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

Scalar polarization modes of gravitational waves, which are often introduced in the context of the viable extension of gravity, have been actively searched. However, couplings of the scalar modes to the matter are strongly constrained by…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Hiroki Takeda , Yusuke Manita , Hidetoshi Omiya , Takahiro Tanaka

The conversion of gravitational to electromagnetic waves in the presence of background magnetic fields is known as the inverse Gertsenshtein effect, analogous to the Primakoff effect for axions. Rephrasing this conversion as a classical…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Valerie Domcke , Camilo Garcia-Cely , Sung Mook Lee

The consequences of spin-rotation-gravity coupling are worked out for linear gravitational waves. The coupling of helicity of the wave with the rotation of a gravitational-wave antenna is investigated and the resulting modifications in the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jairzinho Ramos , Bahram Mashhoon

In this paper, we study the polarization of a gravitational wave (GW) emitted by an astrophysical source at a cosmic distance propagating through the Friedmann-Lema\^itre-Robertson-Walk universe. By considering the null geodesic deviations,…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Jia-Xi Feng , Fu-Wen Shu , Anzhong Wang

The question of the correspondence between the number of degrees of freedom and the number of polarization states in hybrid metric-Palatini f(R)-gravity is considered. It is shown that the scalar transverse breathing and longitudinal modes…

General Relativity and Quantum Cosmology · Physics 2022-11-08 P. I. Dyadina

Non-gauge generated exact solutions of simple supergravity field equations that describe pp-waves in Rosen coordinates are presented in the language of complex quaternion valued exterior differential forms.

General Relativity and Quantum Cosmology · Physics 2022-10-20 Tekin Dereli , Yorgo Senikoglu