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We derive a Bayesian criterion for assessing whether signals observed in two separate data sets originate from a common source. The Bayes factor for a common vs. unrelated origin of signals includes an overlap integral of the posterior…

High Energy Astrophysical Phenomena · Physics 2018-06-13 Gregory Ashton , Eric Burns , Tito Dal Canton , Thomas Dent , Heinz-Bernd Eggenstein , Alex B. Nielsen , Reinhard Prix , Michal Was , Sylvia J. Zhu

This review provides a conceptual and technical survey of methods for parameter estimation of gravitational wave signals in ground-based interferometers such as LIGO and Virgo. We introduce the framework of Bayesian inference and provide an…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Javier Roulet , Tejaswi Venumadhav

Gravitational-wave observations of binary black holes allow new tests of general relativity to be performed on strong, dynamical gravitational fields. These tests require accurate waveform models of the gravitational-wave signal, otherwise…

General Relativity and Quantum Cosmology · Physics 2021-06-29 Christopher J. Moore , Eliot Finch , Riccardo Buscicchio , Davide Gerosa

Gravitational waves allow us to test general relativity in the highly dynamical regime. While current observations have been consistent with waves emitted by quasi-circular binaries, eccentric binaries may also produce detectable signals in…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Blake Moore , Nicolás Yunes

Bayesian inference of gravitational wave signals is subject to systematic error due to modelling uncertainty in waveform signal models, coined approximants. A growing collection of approximants are available which use different approaches…

General Relativity and Quantum Cosmology · Physics 2020-03-25 Gregory Ashton , Sebastian Khan

Most tests of general relativity with gravitational-wave observations rely on inferring the degree to which a signal deviates from general relativity in conjunction with the astrophysical parameters of its source, such as the component…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Ethan Payne , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

We show how the model of pseudo-complex general relativity can be tested using gravitational wave signals from coalescing compact objects. The model, which agrees with Einstein gravity in the weak-field limit, diverges dramatically in the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Alex B. Nielsen , Ofek Birnholtz

General Relativity predicts only two tensor polarization modes for gravitational waves while at most six possible polarization modes are allowed in general metric theory of gravity. The number of polarization modes is determined by the…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Chao Zhang , Yungui Gong , Dicong Liang , Chunyu Zhang

Gravitational-wave sources offer us unique testbeds for probing strong-field, dynamical and nonlinear aspects of gravity. In this chapter, we give a brief overview of the current status and future prospects of testing General Relativity…

General Relativity and Quantum Cosmology · Physics 2021-11-15 Zack Carson , Kent Yagi

Gravitational wave observations of compact binary mergers are already providing stringent tests of general relativity and constraints on modified gravity. Ground-based interferometric detectors will soon reach design sensitivity and they…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Scott E. Perkins , Nicolás Yunes , Emanuele Berti

The direct detection of gravitational waves (GW) from merging binary black holes and neutron stars mark the beginning of a new era in gravitational physics, and it brings forth new opportunities to test theories of gravity. To this end, it…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Atsushi Nishizawa

Gravitational wave observations of quasicircular compact binary mergers in principle provide an arbitrarily complex likelihood over eight independent intrinsic parameters: the masses and spins of the two merging objects. In this work, we…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Vera Delfavero , Richard O'Shaughnessy , Daniel Wysocki , Anjali Yelikar

The violent collisions of black holes provide for excellent test-beds of Einstein's general relativity in the strong/dynamical gravity regime. We here demonstrate the resolving power one can gain upon the use of multi-band observations of…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Zack Carson , Kent Yagi

Gravitational-wave data from advanced-era interferometric detectors consists of background Gaussian noise, frequent transient artefacts, and rare astrophysical signals. Multiple search algorithms exist to detect the signals from compact…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Gregory Ashton , Ann-Kristin Malz , Nicolo Colombo

Gravitational wave (GW) observations provide sensitive tests of parity and Lorentz symmetries of gravity. Any violation of these fundamental symmetries induces possible deviations in the GW propagations. Through a systematic parametrization…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Tao Zhu , Wen Zhao , Jian-Ming Yan , Yuan-Zhu Wang , Cheng Gong , Anzhong Wang

The growing catalog of gravitational wave (GW) detections by the LIGO-Virgo-KAGRA Collaboration enables increasingly stringent tests of general relativity, particularly regarding possible parity and Lorentz violations. While most current…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Wei-Hua Guo , Yuan-Zhu Wang , Tao Zhu

The coalescences of stellar-mass black-hole binaries through their inspiral, merger, and ringdown are among the most promising sources for ground-based gravitational-wave (GW) detectors. If a GW signal is observed with sufficient…

In a General Relativistic framework, Gravitational Waves (GW) and Electromagnetic (EM) waves are expected to respond in the same way to the effects of matter perturbations between the emitter and the observer. A different behaviour might be…

Cosmology and Nongalactic Astrophysics · Physics 2023-02-14 Giulio Scelfo , Maria Berti , Alessandra Silvestri , Matteo Viel

Gravitational Wave (GW) data bring an exceptional avenue to test the underlying models of coalescing compact objects. In the regime of strong gravity and high curvature, they allow the exploration of minute deviations from the best-fit…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Guillaume Dideron , Suvodip Mukherjee , Luis Lehner

Gravitational wave (GW) observations probe both a diffuse, stochastic gravitational wave background (SGWB) as well as individual cataclysmic events such as the merger of two compact objects. The detection and description of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Eleanor Gleave , Andrew Jaffe