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We derive consistent equations for gravitational wave oscillations in bigravity. In this framework a second dynamical tensor field is introduced in addition to General Relativity and coupled such that one massless and one massive linear…

General Relativity and Quantum Cosmology · Physics 2017-09-25 Kevin Max , Moritz Platscher , Juri Smirnov

This chapter introduces the fundamental principles of gravitational wave detectors in a simple and comprehensive manner. Because these instruments aim for extremely high sensitivity, it is essential to understand their various noise…

Optics · Physics 2026-01-29 Marina Trad-Nery , Margherita Turconi , Walid Chaibi

The recent detection of gravitational waves has generated interest in alternatives to the black hole interpretation of sources. One set of such alternatives involves a prediction of gravitational wave "echoes". We consider two aspects of…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Richard Price , Gaurav Khanna

A certain class of exact solutions of Einstein Maxwell spacetime in general relativity is discussed which demonstrates at the level of theory that, when certain parametric resonance condition is met, the interaction of electromagnetic field…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Ruodi Yan , Yun Kau Lau

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

The first generation of gravitational wave interferometric detectors has taken data at, or close to, their design sensitivity. This data has been searched for a broad range of gravitational wave signatures. An overview of gravitational wave…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Stephen Fairhurst , Gianluca M Guidi , Patrice Hello , John T Whelan , Graham Woan

A primordial spectrum of gravitational waves serves as a backlight to the relativistic degrees of freedom of the cosmological fluid. Any change in the particle physics content, due to a change of phase or freeze-out of a species, will leave…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-14 Robert R. Caldwell , Tristan L. Smith , Devin G. E. Walker

After extensively reviewing general relativistic gravitomagnetism, both historically and phenomenologically, we review in detail the so-called magnetic components of gravitational waves (GWs), which have to be taken into account in the…

General Relativity and Quantum Cosmology · Physics 2011-08-25 Lorenzo Iorio , Christian Corda

We analyze the gravitational waves within the Spinor Theory of Gravity and compare it with the General Relativity proposal. In the case of STG a gravitational wave may occur if the effective gravitational metric induced by the spinorial…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Mario Novello , Angelo E. S. Hartmann

We consider the gravitational radiation in conformal gravity theory. We perturb the metric from flat Mikowski space and obtain the wave equation after introducing the appropriate transformation for perturbation. We derive the effective…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Rong-Jia Yang

The new millennium will see the upcoming of several ground-based interferometric gravitational wave antennas. Within the next decade a space-based antenna may also begin to observe the distant Universe. These gravitational wave detectors…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. S. Sathyaprakash

Beginning with the stress-energy tensor of an elastic string this paper derives a relativistic string and its form in a parallel transported Fermi frame including its reduction in the Newtonian limit to a Cosserat string. In a Fermi frame…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Peter Bollada

The Einstein field equations in linear post-Newtonian approximation can be written in analogy with electromagnetism, in the so-called gravito-electromagnetic formalism. We use this analogy to study the gravitational field of a massive ring:…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Matteo Luca Ruggiero

Fermi normal coordinates provide a standardized way to describe the effects of gravitation from the point of view of an inertial observer. These coordinates have always been introduced via perturbation expansions and were usually limited to…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Malik Rakhmanov

We discuss the linear gravitoelectromagnetic approach used to solve Einstein equations in the weak-field and slow-motion approximation, which is a powerful tool to explain, by analogy with electromagnetism, several gravitational effects in…

General Relativity and Quantum Cosmology · Physics 2021-11-23 Matteo Luca Ruggiero

This chapter introduces gravitational wave cosmology, focusing on the use of gravitational waves as standard sirens to probe the expansion history of the Universe. It presents and explains the methodologies behind bright and dark siren…

General Relativity and Quantum Cosmology · Physics 2025-07-16 Grégoire Pierra , Simone Mastrogiovanni

This document presents a ray-optics analysis of the response of a two-element radio interferometer to the presence of a plane gravitational wave. A general expression for the differential phase observed between the two receiving stations as…

Astrophysics · Physics 2016-08-30 Kipp Cannon

We reexamine and further develop different gravito-electromagnetic (GEM) analogies found in the literature, and clarify the connection between them. Special emphasis is placed in two exact physical analogies: the analogy based on inertial…

General Relativity and Quantum Cosmology · Physics 2014-10-28 L. Filipe O. Costa , José Natário

The hypothesis of an alternative way of obtaining gravitational waves is the physical motivation of this article. Using the linear field approximation and a symmetry transformation of the affine connection, new field equations and new gauge…

General Physics · Physics 2022-09-14 Sergio Giardino

We develop a gravitational analogue of spin magnetic resonance, called spin gravitational resonance, whereby a gravitational wave interacts with a magnetic field to produce a spin transition. In particular, an external magnetic field…

General Relativity and Quantum Cosmology · Physics 2016-05-27 James Q. Quach