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Inspiraling binaries of compact objects are primary targets for current and future gravitational-wave observatories. Waveforms computed in General Relativity are used to search for these sources, and will probably be used to extract source…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Michele Vallisneri , Nicolas Yunes

[abridged] The detection of gravitational waves from extreme-mass-ratio (EMRI) binaries, comprising a stellar-mass compact object orbiting around a massive black hole, is one of the main targets for low-frequency gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2012-08-09 Priscilla Canizares , Jonathan R. Gair , Carlos F. Sopuerta

The detections of gravitational-wave (GW) signals from compact binary coalescence by ground-based detectors have opened up the era of GW astronomy. These observations provide opportunities to test Einstein's general theory of relativity at…

General Relativity and Quantum Cosmology · Physics 2022-01-17 N. V. Krishnendu , Frank Ohme

The response of a gravitational-wave (GW) interferometer is spatially modulated and is described by two antenna patterns, one for each polarization state of the waves. The antenna patterns are derived from the shape and size of the…

General Relativity and Quantum Cosmology · Physics 2025-03-21 Andrea Virtuoso , Edoardo Milotti

With the improvement in sensitivity of gravitational wave (GW) detectors and the increasing diversity of GW sources, there is a strong need for accurate GW waveform models for data analysis. While the current model accuracy assessments…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Qian Hu , John Veitch

The detection of a pulsar (PSR) in a tight, relativistic orbit around a supermassive or intermediate mass black hole - such as those in the Galactic centre or in the centre of Globular clusters - would allow for precision tests of general…

High Energy Astrophysical Phenomena · Physics 2020-01-09 Tom Kimpson , Kinwah Wu , Silvia Zane

The aim of this paper is to study the extra phase shift that general relativity (GR) predicts for a radial light ray propagating in the vicinity of a static spherical symmetric body. It appears that the gravitational phase shift test yields…

General Relativity and Quantum Cosmology · Physics 2008-02-22 Jean Paul Mbelek

Detections of gravitational waves emitted by binary black holes allow for tests of General Relativity in the strong-field regime. In particular, deviations from General Relativity can be observed by comparing incoming signals to waveform…

General Relativity and Quantum Cosmology · Physics 2018-08-07 Peter T. H. Pang , Juan Calderón Bustillo , Yifan Wang , Tjonnie G. F. Li

Gravitational wave observations of compact binary coalescences provide precision probes of strong-field gravity. There is thus now a standard set of null tests of general relativity (GR) applied to LIGO-Virgo detections and many more such…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Nathan K. Johnson-McDaniel , Abhirup Ghosh , Sudarshan Ghonge , Muhammed Saleem , N. V. Krishnendu , James A. Clark

We review the tests of general relativity that will become possible with space-based gravitational-wave detectors operating in the ~0.01mHz - 1Hz low-frequency band. The fundamental aspects of gravitation that can be tested include the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Jonathan R. Gair , Michele Vallisneri , Shane L. Larson , John G. Baker

We investigate extreme mass-ratio inspirals (EMRIs) around a rotating Hayward black hole to assess the detectability of signatures arising from quantum gravity.The quantum parameter $\alpha_0$, which encodes deviations from general…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Dan Zhang , Chao Zhang , Qiyuan Pan , Guoyang Fu , Jian-Pin Wu

Among the expected sources of gravitational waves for the Laser Interferometer Space Antenna (LISA) is the capture of solar-mass compact stars by massive black holes residing in galactic centers. We construct a simple model for such a…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson

The direct detection of gravitational waves (GWs) by LIGO has strikingly confirmed general relativity (GR), but testing GR via GWs requires estimating parameterized post-Einsteinian (ppE) deviation parameters in waveform models. Traditional…

Instrumentation and Methods for Astrophysics · Physics 2026-02-03 Yong-Xin Zhang , Tian-Yang Sun , Chun-Yu Xiong , Song-Tao Liu , Yu-Xin Wang , Shang-Jie Jin , Jing-Fei Zhang , Xin Zhang

The detection and characterization of gravitational wave signals from compact binary coalescence events relies on accurate waveform templates in the frequency domain. The stationary phase approximation (SPA) can be used to compute…

General Relativity and Quantum Cosmology · Physics 2014-12-11 Antoine Klein , Neil Cornish , Nicolás Yunes

The upcoming direct detection of gravitational waves will open a window to probing the strong-field regime of general relativity (GR). As a consequence, waveforms that include the presence of deviations from GR have been developed (e.g. in…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Salvatore Vitale , Walter Del Pozzo

This review explores modified theories of gravity, particularly $f(R)$ gravity, as extensions to General Relativity (GR) that offer alternatives to dark energy for explaining cosmic acceleration. These models generalize the Einstein-Hilbert…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Rafid H. Dejrah

Tests of general relativity (GR) with gravitational waves (GWs) introduce additional deviation parameters in the waveform model. The enlarged parameter space makes inference computationally costly, which has so far limited systematic,…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Dhruv Kumar , Ish Gupta , Bangalore Sathyaprakash

Model gravitational waveforms must be accurate enough to be useful for detection of signals and measurement of their parameters, so appropriate accuracy standards are needed. Yet these standards should not be unnecessarily restrictive,…

General Relativity and Quantum Cosmology · Physics 2011-05-04 Lee Lindblom , John G. Baker , Benjamin J. Owen

It is well known that Einstein's General Relativity (GR) achieved a great success and overcame lots of experimental tests. On the other hand, GR also showed some shortcomings and flaws which today advise theorists to ask if it is the…

General Relativity and Quantum Cosmology · Physics 2010-04-09 Christian Corda

Gravitational waves (GWs) are a new avenue of observing our Universe. So far, we have seen them in the ~10-100 Hz range, and there are hints that we might soon detect them in the nanohertz regime. Multiple efforts are underway to access GWs…

Astrophysics of Galaxies · Physics 2023-06-28 Kris Pardo , Tzu-Ching Chang , Olivier Doré , Yijun Wang