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We consider the propagation of gravitational waves in the late time Universe with the presence of structure. Before detection, gravitational waves emitted from distant sources have to traverse through regions of spacetime which are far from…

General Relativity and Quantum Cosmology · Physics 2022-06-27 Shashank S. Pandey , Arnab Sarkar , Amna Ali , A. S. Majumdar

This article deals with the gravitational lensing (GL) of gravitational waves (GW). We compute the increase in the number of detected GW events due to GL. First, we check that geometrical optics is valid for the GW frequency range on which…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Arnaud-Varvella , M. -C. Angonin , Ph. Tourrenc

Symmetric teleparallel gravity (STG) offers an interesting third geometric interpretation of gravitation besides its formulation in terms of a spacetime metric and Levi-Civita connection or its teleparallel formulation. It describes gravity…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Christian Pfeifer , Jackson Levi Said , Ulbossyn Ualikhanova

Gravitational waves bring about the relative motion of free test masses. The detailed knowledge of this motion is important conceptually and practically, because the mirrors of laser interferometric detectors of gravitational waves are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. Baskaran , L. P. Grishchuk

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2016-11-23 S. Nayeh , A. Latifi , S. Arbabi , M. Ghominejad

Wave effects can be important for the gravitational lensing of gravitational waves. In such a case, wave optics must be used in stead of geometric optics. We consider a plane wave entering a lens object and solve numerically the wave…

Astrophysics · Physics 2009-11-11 Teruaki Suyama , Ryuichi Takahashi , Shugo Michikoshi

In dark-energy models where a scalar field is nonminimally coupled to the spacetime geometry, gravitational waves are expected to be supplemented with a scalar mode. Such scalar waves may interact with the standard tensor waves, thereby…

General Relativity and Quantum Cosmology · Physics 2022-05-12 Charles Dalang , Pierre Fleury , Lucas Lombriser

The direct detection of gravitational waves crowns decades of efforts in the modelling of sources and of increasing detectors' sensitivity. With future third-generation Earth-based detectors or space-based observatories, gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Lorenzo Annulli , Laura Bernard , Diego Blas , Vitor Cardoso

Wave propagation is a common occurrence in all of physics. A linear approximation provides a simpler way to describe various fields related to observable phenomena in laboratory physics as well as astronomy and cosmology, allowing us to…

General Relativity and Quantum Cosmology · Physics 2024-07-08 Lucas T. Santana , João C. Lobato , Ribamar R. R. Reis , Maurício O. Calvão

Gravitational waves, although generally associated with extremely microscopic effects, can displace by hundreds of kilometers the pulsar interstellar scintillation patterns that bathe the Earth. The combination of the pulsar and the…

Astrophysics · Physics 2008-02-03 Redouane Fakir

Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile

The response of a detector to gravitational wave is a function of frequency. When the time a photon moving around in the Fabry-Perot cavities is the same order of the period of a gravitational wave, the phase-difference due to the…

General Relativity and Quantum Cosmology · Physics 2016-08-01 Zhe Chang , Chao-Guang Huang , Zhi-Chao Zhao

In an external electric or magnetic field, a gravitational wave (GW) may be converted into electromagnetic radiation. We present a coordinate-invariant framework to describe the GW signal in a detector that is based on this effect, such as…

General Relativity and Quantum Cosmology · Physics 2024-09-05 Wolfram Ratzinger , Sebastian Schenk , Pedro Schwaller

In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Atsushi Nishizawa , Atsushi Taruya , Kazuhiro Hayama , Seiji Kawamura , Masa-aki Sakagami

The extremely high precision of current astronomical observations demands a much better theoretical treatment of relativistic effects in the propagation of electromagnetic signals through variable gravitational fields of isolated…

General Relativity and Quantum Cosmology · Physics 2014-08-19 Sergei Kopeikin , Pavel Korobkov

Using conformal invariance of gravitational waves, we show that for a luminal modified gravity theory, the gravitational-wave propagation and luminosity distance are the same as in general relativity. The relation between the…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Antonio Enea Romano , Mairi Sakellariadou

We discuss the propagation of gravitational waves in a recently discussed class of theories containing N >= 2 metric tensors and a corresponding number of standard model copies. Using the formalism of gauge-invariant linear perturbation…

General Relativity and Quantum Cosmology · Physics 2012-04-24 Manuel Hohmann

Gravitational Waves (GWs) have been detected in the $\sim$100 Hz and nHz bands, but most of the gravitational spectrum remains unobserved. A variety of detector concepts have been proposed to expand the range of observable frequencies. In…

General Relativity and Quantum Cosmology · Physics 2024-05-03 Sebastian Baum , Zachary Bogorad , Peter W. Graham

The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Andrea Virtuoso , Edoardo Milotti

The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics. However, this model is valid only in the limit of infinitely high…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Marius A. Oancea , Jérémie Joudioux , I. Y. Dodin , D. E. Ruiz , Claudio F. Paganini , Lars Andersson
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