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Continuing work initiated in an earlier publication [Torigoe et al. Phys. Rev. Lett. {\bf 102}, 251101 (2009)], gravitational wave forms for a three-body system in Lagrange's orbit are considered especially in an analytic method. First, we…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Hideki Asada

General relativity describes gravitation in terms of the geometry of spacetime. It predicts the existence of gravitational waves (GWs) that stretch and compress spacetime and were detected recently by state-of-the-art interferometer…

Popular Physics · Physics 2022-12-01 Hayato Motohashi , Teruaki Suyama

The equations of General Relativity are recast in the form of a wave equation for the Weyl tensor. This allows to reformulate gravitational wave theory in terms of curvature waves, rather than metric waves. The existence of two transverse…

General Relativity and Quantum Cosmology · Physics 2023-02-21 Jan W. van Holten

In the weak-field limit of General Relativity, gravitational waves obey linear equations and propagate at the speed of light. These properties of General Relativity are supported by the observation of ultra high energy cosmic rays as well…

High Energy Astrophysical Phenomena · Physics 2017-07-26 Paul M. Chesler , Abraham Loeb

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

The gravitational constant variation means the breakdown of the strong equivalence principle. As the cornerstone of general relativity, the validity of general relativity can be examined by studying the gravitational constant variation.…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Bing Sun , Jiachen An , Zhoujian Cao

Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Gopakumar , Bala R. Iyer , Sai Iyer

We show that gravitational waves can act as waveguides for electromagnetic radiation, that is if the latter is initially aligned with the gravitational waves, then the alignment will survive during the propagation. The analysis is performed…

General Relativity and Quantum Cosmology · Physics 2022-10-21 A. A. Kocharyan , M. Samsonyan , V. G. Gurzadyan

In this paper, we study gravitational waves generated by binary systems within an extension of General Relativity which is described by the addition of quadratic in curvature tensor terms to the Einstein-Hilbert action. Treating quadratic…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yunho Kim , Archil Kobakhidze , Zachary S. C. Picker

We summarise the physics of first-order phase transitions in the early universe, and the possible ways in which they might come about. We then focus on gravitational waves, emphasising general qualitative features of stochastic backgrounds…

High Energy Physics - Phenomenology · Physics 2026-02-17 Djuna Croon , David J. Weir

The experimental demonstration that neutrons can reside in gravitational quantum stationary states formed in the gravitational field of the Earth indicates a need to examine in more detail the general theoretical properties of gravitational…

Astrophysics of Galaxies · Physics 2018-02-28 A D Ernest

The future detection of gravitational wave forces us to consider the many ways in which astrophysics, gravitational wave theory and fundamental theory will interact. In this paper, I summarize some recent work done to develop such an…

General Relativity and Quantum Cosmology · Physics 2011-12-19 Nicolas Yunes

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

Astrophysics · Physics 2010-04-21 Salvatore Capozziello , Mariafelicia De Laurentis

Corrections to the relativistic theory of orbits are discussed considering higher order approximations induced by gravitomagnetic effects. Beside the standard periastron effect of General Relativity (GR), a new nutation effect was found due…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Forte , Fabio Garufi , Leopoldo Milano

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

Physics Education · Physics 2007-05-23 Indrajit Chakrabarty

One obtains a Maxwell-like structure of gravitation by applying the weak-field approximation to the well accepted theory of general relativity or by extending Newton's laws to time-dependent systems. This splits gravity in two parts, namely…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. Tajmar , C. J. de Matos

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

General Relativity and Quantum Cosmology · Physics 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

Despite the tremendous success of general relativity so far, modified theories of gravity have received increased attention lately, motivated from both theoretical and observational aspects. Gravitational wave observations opened new…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Sharaban Tahura , Kent Yagi

We study the dynamics of a bounded gravitational collapsing configuration emitting gravitational waves, where the exterior spacetime is described by Robinson-Trautman geometries. The full nonlinear regime is examined by using the Galerkin…

General Relativity and Quantum Cosmology · Physics 2009-11-10 H. P. de Oliveira , I. Damião Soares

In this thesis we study the conservative gravitational dynamics of binary systems using the eikonal approximation; allowing us to use scattering amplitude techniques to calculate dynamical quantities in classical gravity. This has…

High Energy Physics - Theory · Physics 2020-09-24 Arnau Koemans Collado
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