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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

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

The paper concerns the use of satellites of the Galileo constellation for relativistic positioning and for measurements of the gravito-magnetic effects induced by the angular momentum both of the Earth and of the dark halo of the Milky Way.…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Angelo Tartaglia

Gravitational waves are perturbations in the spacetime that propagate at the speed of light. The study of such phenomenon is interesting because many cosmological processes and astrophysical objects, such as binary systems, are potential…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-27 E. F. D. Evangelista , J. C. N. de Araujo

Gravitational lens models, some of which might act as if a concave lens, have been recently investigated by using a static and spherically symmetric modified spacetime metric that depends on the inverse distance to the $n$-th power…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Koki Nakajima , Koji Izumi , Hideki Asada

We study the effects of cold dark matter on the propagation of gravitational waves of astrophysical and primordial origin. We show that the dominant effect of cold dark matter on gravitational waves from astrophysical sources is a small…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-13 Raphael Flauger , Steven Weinberg

Gravitational waves are being shown to derive directly from Newtonian dynamics for a continuous mass distribution, e g compressible fluids or equivalent. It is shown that the equations governing a continuous mass distribution, i e the…

General Physics · Physics 2024-05-20 Peter Vadasz

We consider a compact source of gravitational waves of frequency $\omega$, in or near a massive spherically symmetric distribution of matter or a black hole. Recent calculations have led to apparently contradictory results for the influence…

Astrophysics · Physics 2010-11-30 Richard H. Price , Jorge Pullin , Prasun Kundu

In this paper we demonstrate that subsequent application of Lorentz transformations to the cylindrical coordinates on a rotating disk leaves the Euclidean metric invariant. Therefore, the geometry on rotating disk is the Euclidean geometry,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. I. Bashkov , M. A. Malakhaltsev

We discuss the quantum mechanical description of a gravitational wave interacting with a cavity electromagnetic field. Quantum fluctuations of the gravitational vacuum induce squeezing in the optical field. Moreover, this squeezing…

Quantum Physics · Physics 2020-06-19 Thiago Guerreiro

Gravitational waves (GWs) offer a new observational window into the universe, providing insights into compact objects and cosmic structures. Gravitational lensing, commonly studied in electromagnetic waves, also affects GWs, introducing…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-25 Xing-Yu Yang , Tan Chen , Rong-Gen Cai

Gravitational waves, as predicted by Einstein's general relativity theory, appear as ripples in the fabric of spacetime traveling at the speed of light. We prove that the propagation of small amplitude gravitational waves in a curved…

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

Gravitational radiation that propagates through an inhomogeneous mass distribution is subject to random gravitational lensing, or scattering, causing variations in the wave amplitude and temporal smearing of the signal. A statistical theory…

Astrophysics · Physics 2009-11-10 J-P Macquart

Gravitational waves travel through the distributions of matter and dark energy during propagation. For this reason, gravitational waves emitted from binary compact objects serve as a useful tool especially to probe the nature of dark…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Kei-ichiro Kubota , Shun Arai , Shinji Mukohyama

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

The strong evidence for low-frequency gravitational waves from pulsar timing arrays (PTAs), published in 2023, has widened the scope for teaching about gravitational wave astronomy. This article provides a simple, unified overview of the…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Markus Pössel

In this paper, we study the polarization of a gravitational wave (GW) emitted by an astrophysical source at a cosmic distance propagating through the Friedmann-Lema\^itre-Robertson-Walk universe. By considering the null geodesic deviations,…

General Relativity and Quantum Cosmology · Physics 2021-10-25 Jia-Xi Feng , Fu-Wen Shu , Anzhong Wang

According to the classical Einstein-Maxwell theory of gravity and electromagnetism, a light-wave traveling in empty space-time is accompanied by a gravitational field of the pp-type. Therefore point masses are scattered by a light wave,…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. W. van Holten

In general relativity (GR), linearized gravitational waves propagating in empty Minkowski spacetime along a fixed spatial direction have the property that the wave front is the Euclidean plane. Beyond the linear regime, exact plane waves in…

General Relativity and Quantum Cosmology · Physics 2018-03-23 Donato Bini , Carmen Chicone , Bahram Mashhoon