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Parameter estimation of gravitational wave signals is computationally intensive and typically requires millions of likelihood evaluations to construct posterior probability distributions. This computational cost increases significantly in…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Neha Sharma , Aditya Vijaykumar , Prayush Kumar

Presented in this paper is a Markov chain Monte Carlo (MCMC) routine for conducting coherent parameter estimation for interferometric gravitational wave observations of an inspiral of binary compact objects using data from multiple…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Röver , Renate Meyer , Nelson Christensen

Full, non-linear general relativity predicts a memory effect for gravitational waves. For compact binary coalescence, the total gravitational memory serves as an inferred observable, conceptually on the same footing as the mass and the spin…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Neev Khera , Badri Krishnan , Abhay Ashtekar , Tommaso De Lorenzo

Gravitational-wave astronomy of compact binaries relies on theoretical models of the gravitational-wave signal that is emitted as binaries coalesce. These models do not only need to be accurate, they also have to be fast to evaluate in…

Instrumentation and Methods for Astrophysics · Physics 2020-03-04 Yoshinta Setyawati , Michael Pürrer , Frank Ohme

The paper deals with the estimation of parameters of gravitational waves from coalescing binaries. It explains the discrepancy between the Monte carlo simulations and the covariance matrix. We include the post-Newtonian as well as the…

General Relativity and Quantum Cosmology · Physics 2019-08-17 R. Balasubramanian , S. V. Dhurandhar

The merger phase of compact binary coalescences is the strongest gravity regime that can be observed. To test the validity of general relativity (GR) in strong gravitational fields, we propose a gravitational waveform parameterized for…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Daiki Watarai , Atsushi Nishizawa , Kipp Cannon

Coalescing compact binaries have been pointed out as the most promising source of gravitational waves for kilometer-size interferometers such as LIGO. Gravitational wave signals are extracted from the noise in the detectors by matched…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karl Martel

Parameter estimation of gravitational wave data is often computationally expensive, requiring simplifying assumptions such as circularisation of binary orbits. Although, if included, the sub-dominant effects like orbital eccentricity may…

General Relativity and Quantum Cosmology · Physics 2025-08-11 Rimo Das , V. Gayathri , Divyajyoti , Sijil Jose , Imre Bartos , Sergey Klimenko , Chandra Kant Mishra

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

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 mergers of neutron star-neutron star and neutron star-black hole binaries are the most promising gravitational wave events with electromagnetic counterparts. The rapid detection, localization and simultaneous multi-messenger follow-up…

General Relativity and Quantum Cosmology · Physics 2023-12-07 Chayan Chatterjee , Manoj Kovalam , Linqing Wen , Damon Beveridge , Foivos Diakogiannis , Kevin Vinsen

One of the greatest theoretical challenges in the build-up to the era of second-generation gravitational-wave detectors is the modeling of generic binary waveforms. We introduce an approximation that has the potential to significantly…

General Relativity and Quantum Cosmology · Physics 2013-03-12 Patricia Schmidt , Mark Hannam , Sascha Husa

The gravitational waves emitted by binary neutron star inspirals contain information on nuclear matter above saturation density. However, extracting this information and conducting parameter estimation remains a computationally challenging…

Instrumentation and Methods for Astrophysics · Physics 2025-11-11 Thibeau Wouters , Peter T. H. Pang , Tim Dietrich , Chris Van Den Broeck

We obtain analytical gravitational waveforms in the frequency-domain for precessing, quasi-circular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

The current and upcoming generations of gravitational wave experiments represent an exciting step forward in terms of detector sensitivity and performance. For example, key upgrades at the LIGO, Virgo and KAGRA facilities will see the next…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Uddipta Bhardwaj , James Alvey , Benjamin Kurt Miller , Samaya Nissanke , Christoph Weniger

Fully coherent searches (over realistic ranges of parameter space and year-long observation times) for unknown sources of continuous gravitational waves are computationally prohibitive. Less expensive hierarchical searches divide the data…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Holger J. Pletsch , Bruce Allen

Space-borne gravitational wave detectors will expand the scope of gravitational wave astronomy to the milli-Hertz band in the near future. The development of data analysis software infrastructure at the current stage is crucial. In this…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Rui Niu , Chang Feng , Wen Zhao

Gravitational-wave observations of quasicircular compact binary mergers imply complicated posterior measurements of their parameters. Though Gaussian approximations to the pertinent likelihoods have decades of history in the field, the…

Instrumentation and Methods for Astrophysics · Physics 2022-12-08 Vera Delfavero , Richard O'Shaughnessy , Daniel Wysocki , Anjali Yelikar

We propose a novel method to test the consistency of the multipole moments of compact binary systems with the predictions of General Relativity (GR). The multipole moments of a compact binary system, known in terms of symmetric and…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

Gravitational-wave echoes in the post-merger signal of a binary coalescence are predicted in various scenarios, including near-horizon quantum structures, exotic states of matter in ultracompact stars, and certain deviations from general…

General Relativity and Quantum Cosmology · Physics 2019-10-10 Elisa Maggio , Adriano Testa , Swetha Bhagwat , Paolo Pani
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