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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

The number of known millisecond pulsars has dramatically increased in the last few years. Regular observations of these pulsars may allow gravitational waves with frequencies ~10^-9 Hz to be detected. A ``pulsar timing array'' is therefore…

Astrophysics · Physics 2009-11-10 George Hobbs

General relativity predicts the existence of only two tensorial gravitational wave polarizations, while a generic metric theories of gravity can possess up to four additional polarizations, including two vector and two scalar ones. These…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Shaoqi Hou , Xi-Long Fan , Tao Zhu , Zong-Hong Zhu

A single spherical antenna is capable of measuring the direction and polarization of a gravitational wave. It is possible to solve the inverse problem using only linear algebra even in the presence of noise. The simplicity of this solution…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. M. Merkowitz , J. A. Lobo , M. A. Serrano

Increased interest in pushing the frontier of gravitational wave searches to higher frequencies (kHz and beyond) has resulted in a variety of different proposed experimental concepts. A significant fraction of them are based on the coupling…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Valerie Domcke , Joachim Kopp

The aim of this paper is to show the gauge-invariance on the response of interferometers to gravitational waves (GWs). In this process, after a review of results on the Tranverse-Traceless (TT) gauge, where, in general, the theoretical…

General Relativity and Quantum Cosmology · Physics 2011-03-25 Christian Corda

After giving a brief introduction and presenting a complete classification of gravitational waves (GWs) according to their frequencies, we review and summarize the detection methods, the sensitivities, and the sources. We notice that…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Kazuaki Kuroda , Wei-Tou Ni , Wei-Ping Pan

Proposed space-based gravitational wave antennas involve satellites arrayed either in an equilateral triangle around the earth in the ecliptic plane (the ecliptic-plane option) or in an equilateral triangle orbiting the sun in such a way…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thomas A. Moore , Ronald W. Hellings

The teleparallel equivalent of higher order Lagrangians like $L_{\Box R}=-R+a_{0}R^{2}+a_{1}R\Box R$ can be obtained by means of the boundary term $B=2\nabla_{\mu}T^{\mu}$. In this perspective, we derive the field equations in presence of…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

Detecting gravitational wave bursts (characterised by short durations and poorly modelled waveforms) requires to have coincidences between several interferometric detectors in order to reject non-stationary noise events. As the wave…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Nicolas Arnaud , Matteo Barsuglia , Marie-Anne Bizouard , Philippe Canitrot , Fabien Cavalier , Michel Davier , Patrice Hello , Thierry Pradier

We determine the possible gravitational wave polarizations in two general classes of teleparallel gravity theories, using the metric and symmetric teleparallel geometries. For this purpose we apply the Newman-Penrose formalism, and find…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Manuel Hohmann

In this paper we first present a complete classification of gravitational waves according to their frequencies: (i) Ultra high frequency band (above 1 THz); (ii) Very high frequency band (100 kHz - 1 THz); (iii) High frequency band (10 Hz -…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-27 Wei-Tou Ni

Recently, some papers in the literature have shown that, from a bimetric theory of gravity, it is possible to produce massive gravitational waves which generate a longitudinal component in a particular polarization of the wave. After a…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Christian Corda

General Relativity is a hugely successful description of gravitation. However, both theory and observations suggest that General Relativity might have significant classical and quantum corrections in the Strong Gravity regime. Testing the…

General Relativity and Quantum Cosmology · Physics 2019-09-27 S. Shankaranarayanan

Inflation predicts specific relations between the amplitudes and spectral indices of the primordial spectrum of density (scalar metric) perturbations and gravitational waves (tensor metric perturbations). Detection of a stochastic…

Astrophysics · Physics 2016-08-25 Marc Kamionkowski , Arthur Kosowsky

Based on the relationship between proper distance and coordinate distance, the geometrical phenomenon caused by the passing gravitational waves can not be observed locally. The electromagnetic wave equations in the background gravitational…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Wenyu Wang , Yang Xu

A network of large-scale laser interferometers is currently employed for searches of gravitational waves from various astrophysical sources. The frequency dependence of the dynamic response of these detectors introduces corrections to their…

General Relativity and Quantum Cosmology · Physics 2014-07-22 Malik Rakhmanov

The models currently used in the detection of gravitational waves (GWs) either do not consider a relative motion between the center-of-mass of the source and the observer, or usually only consider its effect on the frequencies of GWs.…

High Energy Astrophysical Phenomena · Physics 2020-04-28 Alejandro Torres-Orjuela , Xian Chen , Zhoujian Cao , Pau Amaro-Seoane , Peng Peng

The orbital motion of the Laser Interferometer Space Antenna (LISA) introduces modulations into the observed gravitational wave signal. These modulations can be used to determine the location and orientation of a gravitational wave source.…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Neil J. Cornish , Louis J. Rubbo

We derive in this an expression for the rotation of plane of polarization, of an electromagnetic wave, induced by the field of a gravitational wave propagating along the same direction $\approx \f{G\mu d^2\Omega^4}{3\o}$, $\o$ and $\Omega$…

Astrophysics · Physics 2010-12-17 A. R. Prasanna , S. Mohanty