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This paper aims to systematically and comprehensively initiate a foundation for using concepts from computational differential geometry as instruments for power flow computing and research. At this point we focus our discussion on the…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Franz-Erich Wolter , Benjamin Berger , Alexander Vais

This letter is a generalization of previous results on gravitational waves (GWs) from f(R) theories of gravity. In some previous papers, particular f(R) theories have been linearized for the first time in the literature. Now, the process is…

Astrophysics · Physics 2010-11-23 Salvatore Capozziello , Christian Corda , Maria Felicia De Laurentis

Soon, the combination of electromagnetic and gravitational signals will open the door to a new era of gravitational-wave (GW) cosmology. It will allow us to test the propagation of tensor perturbations across cosmic time and study the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-08 Guadalupe Cañas-Herrera , Omar Contigiani , Valeri Vardanyan

Even if Einstein's General Relativity achieved a great success and overcame lots of experimental tests, it also showed some shortcomings and flaws which today advise theorists to ask if it is the definitive theory of gravity. In this essay…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Christian Corda

The basic constituent of many space-borne gravitational missions, in particular for interferometric gravitational waves detectors, is the so-called link made out of a satellite sending an electromagnetic beam to a second satellite. We…

General Relativity and Quantum Cosmology · Physics 2013-11-05 Giuseppe Congedo , Rita Dolesi , Mauro Hueller , Stefano Vitale , William J. Weber

We use data on the local 3-dimensional galaxy distribution for studying the statistics of the detection rates of gravitational waves (GW) coming from supernova explosions. We consider both tensor and scalar gravitational waves which are…

Astrophysics · Physics 2009-11-06 Yu. V. Baryshev , G. Paturel

The gravito-inertial waves propagating over a shellular baroclinic flow inside a rotating spherical shell are analysed using the Boussinesq approximation. The wave properties are examined by computing paths of characteristics in the…

Solar and Stellar Astrophysics · Physics 2016-08-24 Giovanni M. Mirouh , Clément Baruteau , Michel Rieutord , Jérôme Ballot

The equations for gravitational plane waves produced by a typical binary system as a solution of linear approximation of Einstein equations is derived. The dynamics of the corresponding gravitational field is analyzed in a 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2016-11-23 S. Nayeh , A. Latifi , S. Arbabi , M. Ghominejad

Many early universe scenarios predict an enhancement of scalar perturbations at scales currently unconstrained by cosmological probes. These perturbations source gravitational waves (GWs) at second order in perturbation theory, leading to a…

The direct detection of gravitational waves (GWs) is an invaluable new tool to probe gravity and the nature of cosmic acceleration. A large class of scalar-tensor theories predict that GWs propagate with velocity different than the speed of…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Dario Bettoni , Jose María Ezquiaga , Kurt Hinterbichler , Miguel Zumalacárregui

The dispersion in the speed of gravitational waves is a novel way to test the general theory of relativity and understand whether the origin of cosmic acceleration is due to any alternative theory of gravity. Several alternative theories of…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Adith Praveen , Panchajanya Dey , Suvodip Mukherjee

In this paper, we review the history and current state-of-the-art in the modelling of long nonlinear dispersive waves. For the sake of conciseness of this review, we omit the unidirectional models and focus especially on some classical and…

Fluid Dynamics · Physics 2020-02-20 Gayaz Khakimzyanov , Denys Dutykh , Zinaida Fedotova , Dimitrios Mitsotakis

Scalar-induced gravitational waves (SIGWs) open a unique window into early-universe physics. While their generation from adiabatic perturbations has been extensively studied, the contribution from isocurvature perturbations remains largely…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-24 Xiang-Xi Zeng

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

A laser interferometric detector of gravitational waves is studied and a complete solution (to first order in the metric perturbation) of the coupled Einstein-Maxwell equations with appropriate boundary conditions for the light beams is…

Astrophysics · Physics 2010-04-06 F. I. Cooperstock , V. Faraoni

The first generation of ground-based interferometric gravitational wave detectors, LIGO, GEO and Virgo, have operated and taken data at their design sensitivities over the last few years. The data has been examined for the presence of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Marie Anne Bizouard , Maria Alessandra Papa

We give a detailed treatment of electromagnetic signals generated by gravitational waves (GWs) in resonant cavity experiments. Our investigation corrects and builds upon previous studies by carefully accounting for the gauge dependence of…

High Energy Physics - Phenomenology · Physics 2023-04-25 Asher Berlin , Diego Blas , Raffaele Tito D'Agnolo , Sebastian A. R. Ellis , Roni Harnik , Yonatan Kahn , Jan Schütte-Engel

In a recent paper we have deduced the basic equations that predict the emission of gravitational waves (GW) according to the Einstein gravitation theory. In a subsequent paper these equations have been used to calculate the luminosities and…

General Relativity and Quantum Cosmology · Physics 2010-04-15 M. Cattani

At a horizontally homogeneous isothermal atmosphere approximation, we derive an ordinary six-order differential equation describing linear disturbances with consideration for heat conductivity and viscosity of medium. The wave problem may…

Atmospheric and Oceanic Physics · Physics 2013-07-30 G. V. Rudenko

In this paper we explore generalizations of metric structures of the gravitational wave type to geometries containing an independent connection. The aim is simply to establish a new category of connections compatible, according to some…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Alejandro Jiménez-Cano