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I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to 2D axisymmetric codes that accurately…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Jeffrey Winicour

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

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 develop a general data-driven and template-free method for the extraction of event waveforms in the presence of background noise. Recent gravitational-wave observations provide one of the significant scientific areas requiring data…

Instrumentation and Methods for Astrophysics · Physics 2021-10-18 A. Akhshi , H. Alimohammadi , S. Baghram , S. Rahvar , M. R. Rahimi Tabar , H. Arfaei

We present results from a new technique which allows extraction of gravitational radiation information from a generic three-dimensional numerical relativity code and provides stable outer boundary conditions. In our approach we match the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luciano Rezzolla , Andrew M. Abrahams , Richard A. Matzner , Mark E. Rupright , Stuart L. Shapiro

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

The ability to directly detect gravitational waves has enabled us to empirically probe the nature of ultra-compact relativistic objects. Several alternatives to the black holes of classical general relativity have been proposed which do not…

We present a new approach for the Cauchy-characteristic extraction of gravitational radiation strain, news function, and the flux of the energy-momentum, supermomentum and angular momentum associated with the Bondi-Metzner-Sachs asymptotic…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Casey J. Handmer , Béla Szilágyi , Jeffrey Winicour

Gravitational-wave (GW) astrophysics is a field in full blossom. Since the landmark detection of GWs from a binary black hole on September 14th 2015, several compact-object binaries have been reported by the LIGO-Virgo collaboration. Such…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Andrea Antonelli

Gravitational-wave analyses depend heavily on waveforms that model the evolution of compact binary coalescences as seen by observing detectors. In many cases these waveforms are given by waveform approximants, models that approximate the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Quirijn Meijer , Sarah Caudill

The extraction of the gravitational wave signal, within the context of a characteristic numerical evolution is revisited. A formula for the gravitational wave strain is developed and tested, and is made publicly available as part of the…

General Relativity and Quantum Cosmology · Physics 2013-12-18 Nigel T Bishop , Christian Reisswig

Bayesian parameter estimation is fast becoming the language of gravitational-wave astronomy. It is the method by which gravitational-wave data is used to infer the sources' astrophysical properties. We introduce a user-friendly Bayesian…

With the advent of gravitational-wave astronomy and the discovery of more compact binary coalescences, data quality improvement techniques are desired to handle the complex and overwhelming noise in gravitational wave (GW) observational…

General Relativity and Quantum Cosmology · Physics 2024-02-21 He Wang , Yue Zhou , Zhoujian Cao , Zong-Kuan Guo , Zhixiang Ren

I describe a new algorithm for solving nonlinear wave equations. In this approach, evolution takes place on characteristic hypersurfaces. The algorithm is directly applicable to electromagnetic, Yang-Mills and gravitational fields and other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jeffrey Winicour

Cauchy-Characteristic Matching (CCM), the combination of a central 3+1 Cauchy code with an exterior characteristic code connected across a time-like interface, is a promising technique for the generation and extraction of gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gioel Calabrese

The discovery of the astrophysical events GW150926 and GW151226 has experimentally confirmed the existence of gravitational waves (GW) and has demonstrated the existence of binary stellar-mass black hole systems. This finding marks the…

Instrumentation and Methods for Astrophysics · Physics 2017-03-09 Javier M. Antelis , Claudia Moreno

Observation and characterisation of gravitational waves from binary black holes requires accurate knowledge of the expected waveforms. The late inspiral and merger phase of the waveform is obtained through direct numerical integration of…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Ian Hinder , Serguei Ossokine , Harald P. Pfeiffer , Alessandra Buonanno

We discuss the extraction of information from detected binary black hole (BBH) coalescence gravitational waves, focusing on the merger phase that occurs after the gradual inspiral and before the ringdown. Our results are: (1) If numerical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Eanna E. Flanagan , Scott A. Hughes

The relevance of orbital eccentricity in the detection of gravitational radiation from (steady state) binary stars is emphasized. Computationnally effective fast and accurate)tools for constructing gravitational wave templates from binary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Pierro , I. M. Pinto , A. D. Spallicci , E. Laserra , F. Recano

We perform simulations of general relativistic rotating stellar core collapse and compute the gravitational waves (GWs) emitted in the core bounce phase of three representative models via multiple techniques. The simplest technique, the…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Christian Reisswig , Christian D. Ott , Ulrich Sperhake , Erik Schnetter