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We study the tensor perturbations in a class of non-local, purely gravitational models which naturally end inflation in a distinctive phase of oscillations with slight and short violations of the weak energy condition. We find the usual…

General Relativity and Quantum Cosmology · Physics 2011-03-18 Maria G. Romania , N. C. Tsamis , R. P. Woodard

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…

Astrophysics · Physics 2007-05-23 Sabino Matarrese , Silvia Mollerach

Perturbation of gravitational fields may be decomposed into scalar,vector and tensor components.In this paper we concern with the evolution of tensor mode perturbations in a spatially closed deSitter background of RW form. It may be thought…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Amir H. Abbassi , J. Khodagholizadeh , Amir M. Abbassi

We investigate the propagation of locally plane, small-amplitude, monochromatic gravitational waves through cold compressible interstellar gas in order to provide a more accurate picture of expected waveforms for direct detection. The…

General Relativity and Quantum Cosmology · Physics 2018-06-11 Dániel Barta , Mátyás Vasúth

We study the polarizations of gravitational waves (GWs) in two classes of extended gravity theories. First, we formulate the polarizations in linear massive gravity (MG) with generic mass terms of non-Fierz-Pauli type by identifying all the…

General Relativity and Quantum Cosmology · Physics 2021-06-15 Tomoya Tachinami , Shinpei Tonosaki , Yuuiti Sendouda

The nature of gravity can be tested by how gravitational waves (GWs) are emitted, detected, and propagate through the universe. Propagation tests are powerful, as small deviations compound over cosmological distances. However, GW…

General Relativity and Quantum Cosmology · Physics 2025-02-03 Nicola Menadeo , Miguel Zumalacárregui

The diffraction patterns of lensed gravitational waves encode information about their propagation speeds. If gravitons have mass, the dispersion relation and speed of gravitational waves will be affected in a frequency-dependent manner,…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Ka-Wai Chung , Tjonnie Guang Feng Li

We analyze the features of the Minkowskian limit of a particular non-analytical f(R) model, whose Taylor expansion in the weak field limit does not hold, as far as gravitational waves (GWs) are concerned. We solve the corresponding Einstein…

General Relativity and Quantum Cosmology · Physics 2014-10-24 Donatella Fiorucci , Orchidea Maria Lecian , Giovanni Montani

The violations of parity and Lorentz symmetries in gravity can change the propagating properties of gravitational waves (GWs) in the cosmological background, which can arise from a large number of parity- and Lorentz-violating theories. In…

General Relativity and Quantum Cosmology · Physics 2024-08-08 Tian-Chen Li , Tao Zhu , Wen Zhao , Anzhong Wang

We hereby propose an alternative and additional angle on the nature of gravitational waves (GWs), postulating the theoretical and experimental possibility that GWs carry a deformation of the time component of spacetime, other than the…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Stefano Bondani , Sergio Luigi Cacciatori

We calculate the gravitational waveform radiated from spinning black holes (BHs) binary in dynamical Chern-Simons (dCS) gravity. The equation of motion (EOM) of the spinining binary BHs is derived based on the modified…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Zhao Li , Jin Qiao , Tan Liu , Tao Zhu , Wen Zhao

In this paper, we study the gravitational wave polarization modes for some particular $f(R)$ models using Newman-Penrose formalism. We find two extra scalar modes of gravitational wave (longitudinal and transversal modes) in addition to two…

General Relativity and Quantum Cosmology · Physics 2017-12-06 M. Sharif , Aisha Siddiqa

In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

A general linear gauge-invariant equation for dispersive gravitational waves (GWs) propagating in matter is derived. This equation describes, on the same footing, both the usual tensor modes and the gravitational modes strongly coupled with…

General Relativity and Quantum Cosmology · Physics 2022-08-12 Deepen Garg , I. Y. Dodin

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

In general relativity, it has been shown that the effective gravitational stress-energy tensor for short-wavelength metric perturbations acts just like that for a radiation fluid, and thus, in particular, cannot provide any effects that…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Keiki Saito , Akihiro Ishibashi

We generalise Phinney's 'practical theorem' to account for modified graviton dispersion relations motivated by certain cosmological scenarios. Focusing on specific examples, we show how such modifications can induce characteristic localised…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Bill Atkins , Ameek Malhotra , Gianmassimo Tasinato

Largely motivated by the development of highly sensitive gravitational-wave detectors, our understanding of merging compact binaries and the gravitational waves they generate has improved dramatically in recent years. Breakthroughs in…

Cosmology and Nongalactic Astrophysics · Physics 2010-01-15 Scott A. Hughes

We consider the scattering of gravitational waves off a Schwarzschild black hole in $f(R)$ gravity. We show that the reflection and transmission coefficients for tensor waves are the same as in General Relativity. While the scalar waves,…

General Relativity and Quantum Cosmology · Physics 2017-09-13 Dan B. Sibandze , Rituparno Goswami , Sunil D. Maharaj , Anne Marie Nzioki , Peter K. S. Dunsby

We investigate propagation of gravitational waves in the most general teleparallel gravity model with second order field equations around the Minkowski background. We argue that in this case the most general Lagrangian at the first order of…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Martin Krššák , Christian Pfeifer , Ulbossyn Ualikhanova