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The standard post-Newtonian approximation to gravitational waveforms, called T-approximants, from non-spinning black hole binaries are known not to be sufficiently accurate close to the last stable orbit of the system. A new approximation,…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Edward K. Porter , B. S. Sathyaprakash

In this work we examine the Cauchy convergence of both post-Newtonian (T-approximant) and re-summed post-Newtonian (P-approximant) templates for the case of a test-mass orbiting a Kerr black hole along a circular equatorial orbit. The…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Edward K. Porter

The order of the post-Newtonian expansion needed, to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiralling compact binaries, is explored. A class of approximate wave forms,…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

We revisit the accuracy of the post-Newtonian (PN) approximation and its region of validity for quasi-circular orbits of a point particle in the Kerr spacetime, by using an analytically known highest post-Newtonian order gravitational…

广义相对论与量子宇宙学 · 物理学 2016-05-27 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano

We present various post-Newtonian (PN) models for the phase evolution of compact objects moving along quasi-spherical orbits in Kerr spacetime derived by using the 12PN analytic formulas of the energy, angular momentum and their averaged…

广义相对论与量子宇宙学 · 物理学 2025-03-28 Norichika Sago , Ryuichi Fujita , Hiroyuki Nakano

We compare the performances of the templates defined by three different types of approaches: traditional post-Newtonian templates (Taylor-approximants), ``resummed'' post-Newtonian templates assuming the adiabatic approximation and stopping…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

Reliable predictions of general relativity theory are extracted using approximation methods. Among these, the powerful post-Newtonian approximation provides us with our best insights into the problems of motion and gravitational radiation…

广义相对论与量子宇宙学 · 物理学 2010-03-12 Luc Blanchet

The coalescences of binary black hole (BBH) systems, here taken to be non-spinning, are among the most promising sources for gravitational wave (GW) ground-based detectors, such as LIGO and Virgo. To detect the GW signals emitted by BBHs,…

广义相对论与量子宇宙学 · 物理学 2011-02-25 T. Damour , A. Nagar , M. Trias

We investigate the problem of detecting gravitational waves from binaries of nonspinning black holes with masses m = 5--20 Msun, moving on quasicircular orbits, which are arguably the most promising sources for first-generation ground-based…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Alessandra Buonanno , Yanbei Chen , Michele Vallisneri

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

广义相对论与量子宇宙学 · 物理学 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

Numerical simulations of 15 orbits of an equal-mass binary black hole system are presented. Gravitational waveforms from these simulations, covering more than 30 cycles and ending about 1.5 cycles before merger, are compared with those from…

We study parameter estimation of supermassive black hole binary systems in the final stage of inspiral using the full post-Newtonian gravitational waveforms. We restrict our analysis to systems in circular orbit with negligible spins, in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Miquel Trias , Alicia M. Sintes

The two-body dynamics in general relativity has been solved perturbatively using the post-Newtonian (PN) approximation. The evolution of the orbital phase and the emitted gravitational radiation are now known to a rather high order up to…

广义相对论与量子宇宙学 · 物理学 2009-11-05 Alessandra Buonanno , Bala Iyer , Evan Ochsner , Yi Pan , B. S. Sathyaprakash

General relativity predicts the gravitational wave signatures of coalescing binary black holes. Explicit waveform predictions for such systems, required for optimal analysis of observational data, have so far been achieved using the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 John G. Baker , James R. van Meter , Sean T. McWilliams , Joan Centrella , Bernard J. Kelly

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

广义相对论与量子宇宙学 · 物理学 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

We present a new approximate method for constructing gravitational radiation driven inspirals of test-bodies orbiting Kerr black holes. Such orbits can be fully described by a semi-latus rectum $p$, an eccentricity $e$, and an inclination…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Kostas Glampedakis , Scott A. Hughes , Daniel Kennefick

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…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Edward K. Porter

Frequency-domain filters for time-windowed gravitational waves from inspiralling compact binaries are constructed which combine the excellent performance of our previously developed time-domain P-approximants with the analytic convenience…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Thibault Damour , Bala R. Iyer , B. S. Sathyaprakash

The signal-to-noise ratios (SNRs) for quasi-circular binary black hole inspirals computed from restricted post-Newtonian waveforms are compared with those attained by more complete post-Newtonian signals, which are superpositions of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Chris Van Den Broeck

Recently, a new class of restricted gravitational wave search templates, termed the TaylorEt template was proposed for the search of inspiralling compact binaries. The TaylorEt approximant is different from the usual time-domain…

广义相对论与量子宇宙学 · 物理学 2010-03-26 Manuel Tessmer
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