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We present convergent gravitational waveforms extracted from three-dimensional, numerical simulations in the wave zone and with causally disconnected boundaries. These waveforms last for multiple periods and are very accurate, showing a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 David R. Fiske , John G. Baker , James R. van Meter , Dae-Il Choi , Joan M. Centrella

We derive an analytical expression for extracting the gravitational waveforms at null infinity using the Weyl scalar $\psi_4$ measured at a finite radius. Our expression is based on a series solution in orders of 1/r to the equations for…

General Relativity and Quantum Cosmology · Physics 2015-06-11 H. Nakano , J. Healy , C. O. Lousto , Y. Zlochower

Gravitational wave solutions to Einstein's equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Oscar J. C. Dias , Jose' P. S. Lemos

Wave extraction plays a fundamental role in the binary black hole simulations currently performed in numerical relativity. Having a well defined procedure for wave extraction, which matches simplicity with efficiency, is critical especially…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrea Nerozzi

We derive a set of coupled equations for the gravitational and electromagnetic perturbation in the Reissner-Nordstr\"om geometry using the Newman Penrose formalism. We show that the information of the physical gravitational signal is…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Claudia Moreno , Juan Carlos Degollado , Darío Núñez , Carlos Rodriguez-Leal

A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

We provide evidence that gravitational radiation in a 4D radiation-dominated universe, with equation-of-state $w=1/3$, consists of two components: helicity-2 gravitons and massless scalar acoustic waves. On physical grounds, we would expect…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Yi-Zen Chu , Yen-Wei Liu

In this project, we simulate the collision of two and three black holes using NRPy+ (`Python-based code generation for numerical relativity and beyond') module and BSSN (Baumgarte-Shapiro-Shibata-Nakamura) formulation, and extract the…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Faisal Alotaibi

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

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

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad

We revisit the problem of gravitational-wave extraction in numerical relativity with gauge-invariant metric perturbation theory of spherical spacetimes. Our extraction algorithm allows the computation of even-parity (Zerilli-Moncrief) and…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Joan Fontbuté , Sebastiano Bernuzzi , Simone Albanesi , David Radice , Alireza Rashti , William Cook , Boris Daszuta , Alessandro Nagar

We present a detailed methodology for extracting the full set of Newman-Penrose Weyl scalars from numerically generated spacetimes without requiring a tetrad that is completely orthonormal or perfectly aligned to the principal null…

General Relativity and Quantum Cosmology · Physics 2021-01-25 Dante A. B. Iozzo , Michael Boyle , Nils Deppe , Jordan Moxon , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer , Saul A. Teukolsky

We study the variational principle over an Hilbert-Einstein like action for an extended geometry taking into account torsion and non-metricity. By extending the semi-Riemannian geometry, we obtain an effective energy-momentum tensor which…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Jesús Martín Romero , Mauricio Bellini , José Edgar Madriz Aguilar

We present a method for extracting gravitational waves from numerical spacetimes which generalizes and refines one of the standard methods based on the Regge--Wheeler--Zerilli perturbation formalism. [abridged] We then present fully…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrique Pazos , Ernst Nils Dorband , Alessandro Nagar , Carlos Palenzuela , Erik Schnetter , Manuel Tiglio

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

Gravitational-wave astronomy plays a crucial role in early universe cosmology, dark matter detection, and black-hole merger studies. It is shown here that the heterodyne detection of the gravito-optic effect (employing an enhanced…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Eduard Atonga , Ramy Aboushelbaya , Peter Norreys

We examine current numerical relativity computations of gravitational waves, which typically determine the asymptotic waves at infinity by extrapolation from finite (small) radii. Using simulations of a black hole binary with accurate wave…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Denis Pollney , Christian Reisswig , Nils Dorband , Erik Schnetter , Peter Diener
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