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It is shown that a gravitationally bound system with a one-dimensional velocity dispersion sigma can at most dissipate a fraction ~36(sigma/c)^3 of the gravitational wave energy propagating through it, even if their dynamical time is…

High Energy Astrophysical Phenomena · Physics 2020-02-26 Abraham Loeb

Gravitational waves have been directly detected and astronomical observations indicate that our Universe has a positive cosmological constant $\Lambda$. Nevertheless, a theoretical gauge-invariant notion of gravitational waves arriving at…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Francisco Fernández-Álvarez , José M. M. Senovilla

The observations of gravitational-wave signals from astrophysical sources such as binary inspirals will be used to test General Relativity for self consistency and against alternative theories of gravity. I describe a simple formula that…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Michele Vallisneri

In a vacuum spacetime equips with the Bondi's radiating metric which is asymptotically flat at spatial infinity including gravitational radiation ({\bf Condition D}), we establish the relation between the ADM total linear momentum and the…

General Relativity and Quantum Cosmology · Physics 2007-12-24 Wen-ling Huang , Xiao Zhang

We examine the rates at which energy and momentum are radiated into gravitational waves by a large set of realistic cosmic string loops. The string loops are generated by numerically evolving parent loops with different initial conditions…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Paul Casper , Bruce Allen

In this work, the dynamic of isolated systems in general relativity is described when gravitational radiation and electromagnetic fields are present. In this construction, the asymptotic fields received at null infinity together with the…

General Relativity and Quantum Cosmology · Physics 2017-12-01 G. D. Quiroga

We show that the gravitational wave source counts distribution can test how gravitational radiation propagates on cosmological scales. This test does not require obtaining redshifts for the sources. If the signal-to-noise ratio (SNR,…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Erminia Calabrese , Nicholas Battaglia , David N. Spergel

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

General Relativity and Quantum Cosmology · Physics 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

This tutorial leads the reader through the details of calculating the properties of gravitational waves from orbiting binaries, such as two orbiting black holes. Using analogies with electromagnetic radiation, the tutorial presents a…

Physics Education · Physics 2019-08-15 Robert C. Hilborn

The emission of gravitational waves from a system of massive objects interacting on hyperbolic orbits is studied in the quadrupole approximation. Analytic expressions are derived for the gravitational radiation luminosity, the total energy…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , M. De Laurentis , F. De Paolis , G. Ingrosso , A. Nucita

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

The energy-loss formula of the production of gravitons by the binary is derived in the source theory formulation of gravity. Then, the quantum energy-loss formula involving radiative corrections is derived. We postulate an idea that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Miroslav Pardy

These lectures aim at providing an introduction to the properties of gravitational waves and in particular to those gravitational waves that are expected as a consequence of perturbations of black holes and neutron stars. Imprinted in the…

General Relativity and Quantum Cosmology · Physics 2009-04-16 Luciano Rezzolla

For an island-like distribution of matter the gravitational energy-momentum tensor is defined according to Weinberg as a source of metric. If this source is formed by self-interactions of gravitons, so that nonphysical degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. I. Nikishov

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

Since gravitational wave spacetimes are time-varying vacuum solutions of Einstein's field equations, there is no unambiguous means to define their energy content. However, Weber and Wheeler had demonstrated that they do impart energy to…

General Relativity and Quantum Cosmology · Physics 2010-03-12 Ibrar Hussain , F. M. Mahomed , Asghar Qadir

There is an extremely simple relationship between the spectrum of the gravitational wave background produced by a cosmological distribution of discrete gravitational wave sources, the total time-integrated energy spectrum of an individual…

Astrophysics · Physics 2007-05-23 E. S. Phinney

Gravitational-wave astronomy will soon become a new tool for observing the Universe. Detecting and interpreting gravitational waves will require deep theoretical insights into astronomical sources. The past three decades have seen…

General Relativity and Quantum Cosmology · Physics 2015-04-03 Alessandra Buonanno , B. S. Sathyaprakash

1. Introduction 2. Basics and outline of the method 2.1 Regions around an isolated source 2.2 The quadrupole formalism 2.3 Outline of the method 3. Properties of radiative gravitational fields 3.1 The field in the exterior domain (D_e) 3.2…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet