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相关论文: Modelling the post-Newtonian test-mass gravitation…

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The post-Newtonian approximation is still the most widely used approach to obtaining explicit solutions in general relativity, especially for the relativistic two-body problem with arbitrary mass ratio. Within many of its applications, it…

广义相对论与量子宇宙学 · 物理学 2014-09-09 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

广义相对论与量子宇宙学 · 物理学 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

Subjected to the tidal field of its companion, each component of a coalescing black hole binary suffers a slow change in its mass (tidal heating) and spin (tidal torquing) during the inspiral and merger. This effect modifies the phase and…

广义相对论与量子宇宙学 · 物理学 2024-12-13 Samanwaya Mukherjee , Khun Sang Phukon , Sayak Datta , Sukanta Bose

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

(Abridged) High-order terms in the post-Newtonian (PN) expansions of various quantities for compact binaries exhibit a combinatorial increase in complexity, including ever-increasing numbers of transcendentals. Here we consider the…

广义相对论与量子宇宙学 · 物理学 2014-07-30 Nathan K. Johnson-McDaniel

We present $\texttt{ENIGMA}$, a time domain, inspiral-merger-ringdown waveform model that describes non-spinning binary black holes systems that evolve on moderately eccentric orbits. The inspiral evolution is described using a consistent…

In the adiabatic post-Newtonian (PN) approximation, the phase evolution of gravitational waves (GWs) from inspiralling compact binaries in quasicircular orbits is computed by equating the change in binding energy with the GW flux. This…

广义相对论与量子宇宙学 · 物理学 2016-01-13 Shasvath J. Kapadia , Nathan K. Johnson-McDaniel , Parameswaran Ajith

Using black hole perturbation theory and arbitrary-precision computer algebra, we obtain the post-Newtonian (pN) expansions of the linear-in-mass-ratio corrections to the spin-precession angle and tidal invariants for a particle in circular…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Abhay G. Shah , Adam Pound

Compact binaries with asymmetric mass ratios are key expected sources for next-generation gravitational wave detectors. Gravitational self-force theory has been successful in producing post-adiabatic waveforms that describe the…

广义相对论与量子宇宙学 · 物理学 2024-11-04 Lorenzo Küchler , Geoffrey Compère , Leanne Durkan , Adam Pound

In this paper we discuss the development of a fast and accurate waveform model for the quasi-circular orbital evolution of extreme-mass-ratio-inspirals (EMRIs). This model simply employs the data of a few numerical Teukoulsky-based energy…

广义相对论与量子宇宙学 · 物理学 2016-09-23 Wen-Biao Han

We present the first orbit-integrated self force effects on the gravitational waveform for an I(E)MRI source. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole and study the dependence of the…

广义相对论与量子宇宙学 · 物理学 2012-11-28 Kristen A. Lackeos , Lior M. Burko

We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

广义相对论与量子宇宙学 · 物理学 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

We present the first models of extreme-mass-ratio inspirals within the effective-one-body (EOB) formalism, focusing on quasi-circular orbits into non-rotating black holes. We show that the phase difference and (Newtonian normalized)…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , M. Coleman Miller , Yi Pan

In the framework of mapped pseudospectral methods, we introduce a new polynomial-type mapping function in order to describe accurately the dynamics of systems developing almost singular structures. Using error criteria related to the…

We derive the metric on the parameter space of 3.5 post-Newtonian (3.5PN) stationary phase compact binary inspiral waveforms for a single detector, neglecting spin, eccentricity, and finite-body effects. We demonstrate that this leads to…

广义相对论与量子宇宙学 · 物理学 2013-09-11 Drew Keppel , Andrew P. Lundgren , Benjamin J. Owen , Hanyuan Zhu

We introduce a new, resummed, analytical form of the post-Newtonian (PN), factorized, multipolar amplitude corrections $f_{\ell m}$ of the effective-one-body (EOB) gravitational waveform of spinning, nonprecessing, circularized, coalescing…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Alessandro Nagar , Abhay G. Shah

In this work, the focus is on the improvement of the existing post-Newtonian approximation for the gravitational flux from Super Massive Black Hole Binaries. In order to improve the existing templates for LISA, we need more accurate…

广义相对论与量子宇宙学 · 物理学 2012-06-06 Prayush Kumar

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work…

广义相对论与量子宇宙学 · 物理学 2010-12-24 Abdul H. Mroué , Harald P. Pfeiffer , Lawrence E. Kidder , Saul A. Teukolsky

Recent breakthroughs in numerical relativity enable one to examine the validity of the post-Newtonian expansion in the late stages of inspiral. For the comparison between post-Newtonian (PN) expansion and numerical simulations, the…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Ryuichi Fujita , Bala R. Iyer

We present {bhpwave}: a new Python-based, open-source tool for generating the gravitational waveforms of stellar-mass compact objects undergoing quasi-circular inspirals into rotating massive black holes. These binaries, known as…

广义相对论与量子宇宙学 · 物理学 2024-03-08 Zachary Nasipak