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A tensor-type cosmological perturbation, defined as a transverse and traceless spatial fluctuation, is often interpreted as the gravitational waves. While decoupled from the scalar-type perturbations in linear order, the tensor…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-28 Jai-chan Hwang , Donghui Jeong , Hyerim Noh

Modified gravity theories predict in general a non standard equation for the propagation of gravitational waves. Here we discuss the impact of modified friction and speed of tensor modes on cosmic microwave polarization B modes. We show…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Valeria Pettorino , Luca Amendola

Waves propagating through a gravitational potential exhibit wave-optics effects when their wavelength is not significantly smaller than the lensing scales. We study the propagation of a scalar wave, governed by the Klein-Gordon equation in…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Emma Bruyère , Cyril Pitrou

The direct observation of gravitational waves (GWs) in the near future, and the corresponding determination of the number of independent polarizations, is a powerful tool to test general relativity and alternative theories of gravity. In…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Marcio E. S. Alves , Oswaldo D. Miranda , Jose C. N. de Araujo

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 observation of gravitational waves with a global network of interferometric detectors such as advanced LIGO, advanced Virgo, and KAGRA will make it possible to probe into the nature of space-time structure. Besides Einstein's general…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Kazuhiro Hayama , Atsushi Nishizawa

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Nikodem J. Poplawski

The direct detection of gravitational waves (GWs) is an invaluable new tool to probe gravity and the nature of cosmic acceleration. A large class of scalar-tensor theories predict that GWs propagate with velocity different than the speed of…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Dario Bettoni , Jose María Ezquiaga , Kurt Hinterbichler , Miguel Zumalacárregui

We study the evolution equations for gravitational waves, which are derived using the full metric to raise and lower indices. This method ensures full consistency between the Ricci tensor and all gauge restrictions and requirements, and…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Rosie Hayward , Fabio Biancalana

We propose a generic, phenomenological approach to modifying the dispersion of gravitational waves, independent of corrections to the generation mechanism. This model-independent approach encapsulates all previously proposed…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Rhondale Tso , Maximiliano Isi , Yanbei Chen , Leo Stein

Using the Newman-Penrose formalism, we obtain the explicit expressions for the polarization modes of weak, plane gravitational waves with a massive graviton. Our analysis is restricted for a specific bimetric theory whose term of mass, for…

General Relativity and Quantum Cosmology · Physics 2009-11-10 W. L. S. de Paula , O. D. Miranda , R. M. Marinho

We consider space-times with two isometries which represent gravitational waves with distinct wavefronts which propagate into exact Friedmann-Robertson-Walker (FRW) universes. The geometry of possible wavefronts is analysed in detail in all…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jiri Bicak , Jerry B. Griffiths

Primordial gravitational waves constitute a promising probe of the very early Universe and the laws of gravity. We study in this work changes to tensor-mode perturbations (TMPs) that can arise in various proposed modified gravity (MG)…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Weikang Lin , Mustapha Ishak

We study the degrees of freedom of the metric in a general class of higher derivative gravity models, which are interesting in the context of quantum gravity as they are (super)renormalizable. First, we linearize the theory for a flat…

General Relativity and Quantum Cosmology · Physics 2019-04-05 Patric Hölscher

Gravitational waves (GW), as light, are gravitationally lensed by intervening matter, deflecting their trajectories, delaying their arrival and occasionally producing multiple images. In theories beyond general relativity (GR), new…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jose María Ezquiaga , Miguel Zumalacárregui

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

The description of the gravitation energy is a long standing problem. Although some success has been achieved, there is no satisfactory solution to this problem yet. Probably the most promising approach to this problem is given by…

General Relativity and Quantum Cosmology · Physics 2025-07-01 R. D. Costa , J. B. Formiga

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

This paper is the third in a series of theorems which state how cosmological observations can provide evidence for an early phase of acceleration in the universe. Previous theorems demonstrated that the observed power spectrum for scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-19 Ghazal Geshnizjani , William H. Kinney

In this study, the authors employ the analogy between continuum mechanics and general relativity to investigate, from the perspective of elasticity and crystal plasticity, the deformations of space measured by LIGO/VIRGO interferometers…

General Relativity and Quantum Cosmology · Physics 2025-08-14 David Izabel , Yves Remond , Matteo Luca Ruggiero