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We introduce a new template for the detection of gravitational waves from compact binary systems which is based on Chebyshev polynomials of the first kind. As well as having excellent convergence properties, these polynomials are also very…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Edward K. Porter

In order to improve the phasing of the comparable-mass waveform as we approach the last stable orbit for a system, various re-summation methods have been used to improve the standard post-Newtonian waveforms. In this work we present a new…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Edward K. Porter

Extreme Mass Ratio Inspirals (EMRIs) are one of the main gravitational wave (GW) sources for a future space detector, such as eLISA/NGO, and third generation ground-based detectors, like the Einstein Telescope. These systems present an…

General Relativity and Quantum Cosmology · Physics 2012-06-13 Jérôme Carré , Edward K. Porter

Space-based gravitational-wave detectors such as LISA are expected to detect inspirals of stellar-mass compact objects into massive black holes. Modeling such inspirals requires fully relativistic computations to achieve sufficient accuracy…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Viktor Skoupý , Vojtěch Witzany

Searches for gravitational waves (GWs) from binary black holes using interferometric GW detectors require the construction of template banks for performing matched filtering while analyzing the data. Placement of templates over the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Chinmay Kalaghatgi , Parameswaran Ajith , K. G. Arun

We review some recent works on the post-Newtonian theory of slowly-moving (post-Newtonian) sources, and its application to the problems of dynamics and gravitational radiation from compact binary systems. Our current knowledge is 3PN on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

Detection of gravitational waves from compact binaries involving at least one intermediate mass black hole, and component mass ratios in the range $0.1$-$10^{-4}$, are among the primary sources for future space detectors with target strain…

General Relativity and Quantum Cosmology · Physics 2026-02-25 M Laxman , Ryuichi Fujita , Chandra Kant Mishra

We present an exploratory investigation into using Simulation-based Inference techniques, specifically Flow-Matching Posterior Estimation, to construct a posterior density estimator trained using real gravitational-wave detector noise. Our…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Vivien Raymond , Sama Al-Shammari , Alexandre Göttel

We explore the precision with which the Einstein Telescope (ET) will be able to measure the parameters of intermediate-mass-ratio inspirals (IMRIs). We calculate the parameter estimation errors using the Fisher Matrix formalism and present…

General Relativity and Quantum Cosmology · Physics 2015-03-17 E. A. Huerta , Jonathan R. Gair

(Abridged): The standard adiabatic approximation to phasing of gravitational waves from inspiralling compact binaries uses the post-Newtonian expansions of the binding energy and gravitational wave flux both truncated at the same relative…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. Ajith , Bala R. Iyer , C. A. K. Robinson , B. S. Sathyaprakash

We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate-mass-ratio black-hole-binary inspirals and mergers. We perform a series of full numerical simulations of nonspinning…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

Parameter estimation for gravitational-wave signals is computationally demanding due to the high dimensionality of the parameter space and the cost of repeated waveform generation in traditional Bayesian inference. These analyses require on…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Sama Al-Shammari , Alexandre Göttel , Masaki Iwaya , Vivien Raymond

We derive gravitational waveforms needed to compute the 14th post-Newtonian (14PN) order energy flux for a particle in circular orbit around a Schwarzschild black hole, i.e. $v^{28}$ beyond the leading Newtonian approximation where $v$ is…

General Relativity and Quantum Cosmology · Physics 2012-08-28 Ryuichi Fujita

We use the Fisher information matrix method to calculate the parameter estimation accuracy of inspiraling supermassive black holes binaries for TianQin, a space-borne laser interferometric detector aimed at detecting gravitational waves in…

Instrumentation and Methods for Astrophysics · Physics 2019-06-12 Wen-Fan Feng , Hai-Tian Wang , Xin-Chun Hu , Yi-Ming Hu , Yan Wang

We present an improved version of the approximate scheme for generating inspirals of test-bodies into a Kerr black hole recently developed by Glampedakis, Hughes and Kennefick. Their original "hybrid" scheme was based on combining exact…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jonathan R Gair , Kostas Glampedakis

We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-03-27 Ryuichi Fujita

Using the post-Newtonian (PN) expansion technique of the gravitational wave perturbation around a Schwarzschild black hole, we calculate analytically the energy flux of gravitational waves induced by a particle in circular orbits up to the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 T. Tanaka , H. Tagoshi , M. Sasaki

Spherical harmonic modes of gravitational waveforms for inspiraling compact binaries in eccentric orbits from post-Newtonian (PN) theory accurate to third post-Newtonian order, and those extracted from numerical relativity (NR) simulations…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Abhishek Chattaraj , Tamal RoyChowdhury , Divyajyoti , Chandra Kant Mishra , Anshu Gupta

We revisit the scenario of small-mass-ratio (q) black-hole binaries; performing new, more accurate, simulations of mass ratios 10:1 and 100:1 for initially nonspinning black holes. We propose fitting functions for the trajectories of the…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Hiroyuki Nakano , Yosef Zlochower , Carlos O. Lousto , Manuela Campanelli

The forthcoming space-based gravitational-wave observatory Laser Interferometer Space Antenna (LISA) should enable the detection of Extreme Mass Ratio Inspirals (EMRIs), in which a stellar-mass compact object gradually inspirals into a…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Michal Stratený , Georgios Lukes-Gerakopoulos , Ondřej Zelenka
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