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The theoretical basis for the energy carried away by gravitational waves that an isolated gravitating system emits was first formulated by Hermann Bondi during the 1960s. Recent findings from looking at distant supernovae revealed that the…

General Relativity and Quantum Cosmology · Physics 2017-06-30 Vee-Liem Saw

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Luc Blanchet

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

The prime candidate of LIGO/VIRGO sources of gravitational waves is the spiral in of black holes and neutron stars in compact binaries. While the early stages of the evolution of compact binaries is computable from post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maurice H. P. M. van Putten

About 300 experiments have tried to determine the value of the Newtonian gravitational constant, G, so far, but large discrepancies in the results have made it impossible to know its value precisely. The weakness of the gravitational…

Atomic Physics · Physics 2014-12-30 G. Rosi , F. Sorrentino , L. Cacciapuoti , M. Prevedelli , G. M. Tino

We use the basic equations that predict the emission of gravitational waves according to the Einstein gravitation theory to calculate the luminosities and the amplitudes of the waves generated by binary stars, pulsations of neutron stars,…

General Relativity and Quantum Cosmology · Physics 2010-03-11 M. Cattani

Modeling the radiation generated by accreting matter is an important step towards realistic simulations of black hole accretion disks, especially at high accretion rates. To this end, we have recently added radiation transport to the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-04 P. Chris Fragile , Anna Gillespie , Timothy Monahan , Marco Rodriguez , Peter Anninos

We study the Gauss-Bonnet (GB) term as the leading higher-curvature correction to pure Einstein gravity. Assuming a tree-level ultraviolet completion free of ghosts or tachyons, we prove that the GB term has a nonnegative coefficient in…

High Energy Physics - Theory · Physics 2017-02-02 Clifford Cheung , Grant N. Remmen

The present work studies the gravitational radiation of a non abelian vortex with a non compact internal moduli describing its excitations. This situation may be realised by semi-local supersymmetric vortices…

High Energy Physics - Theory · Physics 2024-04-25 A. Morano , O. Santillán

The Bondi solution, which describes the radial inflow of a gas onto a non-rotating black hole, provides a powerful test for numerical relativistic codes. However, the Bondi solution is usually derived in Schwarzschild coordinates, which are…

General Relativity and Quantum Cosmology · Physics 2017-01-25 August J. Miller , Thomas W. Baumgarte

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sean A. Hayward

We derive the Hamiltonian for general semi-classical 2D dilaton gravity, beginning with the complete action including the Polyakov action and Gibbons-Hawking-York boundary term. The value of the Hamiltonian yields a generalized Brown-York…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Jonathan Barenboim , Andrei V. Frolov , Gabor Kunstatter

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Vegard Undheim

General relativity predicts that gravitational waves are described by two polarisation states: the plus $+$ state and cross $\times$ state. However, alternate theories of gravity allow up to six polarisations. We employ the…

General Relativity and Quantum Cosmology · Physics 2025-07-04 Shun Yin Cheung , Lachlan Passenger , Paul D. Lasky , Eric Thrane

The nonlinear behavior of higher dimensional black hole spacetimes is of interest in several contexts, ranging from an understanding of cosmic censorship to black hole production in high-energy collisions. However, nonlinear numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Helvi Witek , Hirotada Okawa , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Masaru Shibata , Ulrich Sperhake , Miguel Zilhao

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

We investigate the production of gravitational waves during the inspiral of compact binaries close to their merger in the context of a conformal gravity model. The model incorporates five massive polarization degrees of freedom, besides the…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Patric Hölscher , Dominik J. Schwarz

We derive a formula for the Bondi mass aspect in terms of asymptotic data of the Bondi-Sachs metric in the affine gauge. We prove the positivity of the total energy of a regular null cone in agreement with a recent result of Chru\'{s}ciel…

General Relativity and Quantum Cosmology · Physics 2016-02-12 Jacek Tafel

It is shown that the evolution of an axially and reflection symmetric fluid distribution, satisfying the Tolman condition for thermal equilibrium, is not accompanied by the emission of gravitational radiation. This result, which was…

General Relativity and Quantum Cosmology · Physics 2024-01-12 L. Herrera , A. Di Prisco , J. Ospino