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We obtain the equations of motion for compact binary systems (black holes or neutron stars) in an alternative theory of gravity known as Einstein-AEther theory, which supplements the standard spacetime metric with a timelike four-vector…

广义相对论与量子宇宙学 · 物理学 2025-07-11 Fatemeh Taherasghari , Clifford M. Will

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the…

广义相对论与量子宇宙学 · 物理学 2018-12-19 Alexander Saffer , Nicolas Yunes

Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

广义相对论与量子宇宙学 · 物理学 2009-03-24 Napoleon Hernandez , Richard H. Price

Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these models. In this paper, we derive the…

广义相对论与量子宇宙学 · 物理学 2021-12-15 Mohammed Khalil

Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Dörte Hansen

We present solutions to the Einstein-Klein Gordon system representing boson stars in the slow rotation approximation. By considering slow rotation we are able to reduce the number of equations yielding a system of ordinary differential…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Jorge F. M. Delgado , Juan Carlos Degollado , Luis E. Martínez , Marcelo Salgado

We develop a fully analytical waveform model for precessing binaries with arbitrary spin vectors using post-Newtonian~(PN) theory in the extreme mass-ratio limit and a hierarchical multi-scale analysis. The analytical model incorporates…

广义相对论与量子宇宙学 · 物理学 2024-09-11 Nicholas Loutrel , Sajal Mukherjee , Andrea Maselli , Paolo Pani

We apply a von Zeipel gravity darkening model to corotating binaries to obtain a simple, analytical expression for the emergent radiative flux from a tidally distorted primary orbiting a point-mass secondary. We adopt a simple Roche model…

太阳与恒星天体物理 · 物理学 2015-06-04 Helen E. White , Thomas W. Baumgarte , Stuart L. Shapiro

We develop a method to compute low-eccentricity initial data of binary neutron stars required to perform realistic simulations in numerical relativity. The orbital eccentricity is controlled by adjusting the orbital angular velocity of a…

广义相对论与量子宇宙学 · 物理学 2017-12-27 Koutarou Kyutoku , Masaru Shibata , Keisuke Taniguchi

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

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit…

广义相对论与量子宇宙学 · 物理学 2016-08-07 Serguei Ossokine , Michael Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Béla Szilágyi

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Luc Blanchet

This article describes a comparison of two calculations of the merger of a binary neutron star (NS) system which is initially within the tidal instability as described by Rasio and Shapiro. The same initial data is used with one simulation…

天体物理学 · 物理学 2007-05-23 Edward Y. M. Wang , F. Douglas Swesty , Alan C. Calder

We present the next-to-next-to-leading order post-Newtonian (PN) spin-orbit Hamiltonian for two self-gravitating spinning compact objects. If at least one of the objects is rapidly rotating, then the corresponding interaction is comparable…

广义相对论与量子宇宙学 · 物理学 2012-08-16 Johannes Hartung , Jan Steinhoff

Perturbative Post-Newtonian variations of the standard osculating orbital elements are obtained by using the two-body equations of motion in the Parameterized Post-Newtonian theoretical framework. The results obtained are applied to the…

综合物理 · 物理学 2012-06-14 Lin-sen Li

We use a post-Newtonian diagnostic tool to examine numerically generated quasiequilibrium initial data sets for non-spinning double neutron star and neutron star-black hole binary systems. The PN equations include the effects of tidal…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Emanuele Berti , Sai Iyer , Clifford M. Will

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

广义相对论与量子宇宙学 · 物理学 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

The gravitational self-force (GSF) and post-Newtonian (PN) schemes are complementary approximation methods for modelling the dynamics of compact binary systems. Comparison of their results in an overlapping domain of validity provides a…

广义相对论与量子宇宙学 · 物理学 2015-06-10 Sarp Akcay , Alexandre Le Tiec , Leor Barack , Norichika Sago , Niels Warburton

The innermost stable cicular orbit (ISCO) of an accretion disc orbiting a neutron star (NS) is often assumed a unique prediction of general relativity. However, it has been argued that ISCO also appears around highly elliptic bodies…

高能天体物理现象 · 物理学 2014-05-08 G. Torok , M. Urbanec , K. Adamek , G. Urbancova
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