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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 known exact solutions of Einstein's vacuum field equations modeling the gravitational fields of pure gravitational radiation involve wave fronts which are either planar or roughly spherical. We describe a scheme designed to check…

General Relativity and Quantum Cosmology · Physics 2021-07-02 Peter A. Hogan , Dirk Puetzfeld

Gravitational wave echoes may imply physics beyond general relativity; however, several approaches to searching for echoes require fitting the data to toy templates which are not physically motivated. Here, I create a procedure which…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Randy S. Conklin

The paper presents a statistical model which reproduces the results of Monte Carlo simulations to estimate the parameters of the gravitational wave signal from a coalesing binary system. The model however is quite general and would be…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Balasubramanian , S. V. Dhurandhar

The aim of these notes is to give an accessible and self-contained introduction to the theory of gravitational waves as the theory of a relativistic symmetric tensor field in a Minkowski background spacetime. This is the approach of a…

General Relativity and Quantum Cosmology · Physics 2017-05-17 Marco de Cesare , R. Oliveri , J. W. van Holten

For the strong gravitational wave model, an explicit transformation is obtained from a privileged coordinate system with a wave variable to a synchronous reference frame with separation of time and space variables. In a synchronous…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Konstantin E. Osetrin , Vladimir Y. Epp , Sergey V. Chervon

This work introduces a geometrical method for analyzing transient gravitational waves recorded at interferometric observatories. This approach is intended to aid in assessing the performance and sensitivity of next-generation detector…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Osvaldo M. Moreschi

These notes provide a student-friendly introduction to the theory of gravitational waves in full, non-linear general relativity (GR). We aim for a balance between physical intuition and mathematical rigor and cover topics such as the…

General Relativity and Quantum Cosmology · Physics 2022-01-28 Fabio D'Ambrosio , Shaun D. B. Fell , Lavinia Heisenberg , David Maibach , Stefan Zentarra , Jann Zosso

The nascent field of gravitational-wave astronomy offers many opportunities for effective and inspirational astronomy outreach. Gravitational waves, the "ripples in space-time" predicted by Einstein's theory of General Relativity, are…

These notes address the planar gravitational wave solutions of general relativity in empty space-time, and analyze the motion of test particles in the gravitational wave field. Next we consider related solutions of the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. van Holten

We provide a review on the state-of-the-art of gravitational waves induced by primordial fluctuations, so-called induced gravitational waves. We present the intuitive physics behind induced gravitational waves and we revisit and unify the…

General Relativity and Quantum Cosmology · Physics 2021-11-08 Guillem Domènech

The standard linear approach to the gravitational waves theory is critically reviewed. Contrary to the prevalent understanding, it is pointed out that this theory contains many conceptual and technical obscure issues that require further…

General Relativity and Quantum Cosmology · Physics 2015-05-28 J. G. Pereira

We consider a gravitational wave of arbitrary frequency incident on a normal or a super-conductor. The gravitationally induced fields inside the conductor are derived. The outward propagating EM waves are calculated for a low frequency wave…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Lewis Licht

We derive the exact gravitational wave solutions in a general class of quadratic Poincar\'e gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion and the curvature, including…

General Relativity and Quantum Cosmology · Physics 2017-04-18 Yuri N. Obukhov

Particles in a yet unexplored dark sector with sufficiently large mass and small gauge coupling may form purely gravitational atoms (quantum gravitational bound states) with a rich phenomenology. In particular, we investigate the…

High Energy Physics - Phenomenology · Physics 2019-06-26 Niklas G. Nielsen , Andrea Palessandro , Martin S. Sloth

This review paper is devoted to the theory of orbits. We start with the discussion of the Newtonian problem of motion then we consider the relativistic problem of motion, in particular the PN approximation and the further gravitomagnetic…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Mariafelicia De Laurentis

The content of Einstein's theory of gravitation is encoded in the properties of the solutions to his field equations. There has been obtained a wealth of information about these solutions in the ninety years the theory has been around. It…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Helmut Friedrich

The gravitational redshift forms the central part of the majority of the classical tests for the general theory of relativity. It could be successfully checked even in laboratory experiments on the earth's surface. The standard derivation…

General Relativity and Quantum Cosmology · Physics 2015-05-28 L. Acedo , M. M. Tung

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

We provide a pedagogical approach to gravitational waves in cosmology with focus on gravitational wave signals related to primordial black holes. These lectures notes contain more details than one is able to present in the two two-hour…

General Relativity and Quantum Cosmology · Physics 2023-07-17 Guillem Domènech