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We present the first results from our Post-Newtonian (PN) Smoothed Particle Hydrodynamics (SPH) code, which has been used to study the coalescence of binary neutron star (NS) systems. The Lagrangian particle-based code incorporates…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Joshua A. Faber , Frederic A. Rasio

The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN)…

广义相对论与量子宇宙学 · 物理学 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

Compact binaries consisting of neutron stars / black holes on eccentric orbit undergo a perturbed Keplerian motion. The perturbations are either of relativistic origin or are related to the spin, mass quadrupole and magnetic dipole moments…

天体物理学 · 物理学 2016-08-16 Zoltán Keresztes , Balázs Mikóczi , László Á. Gergely

Using our new post-Newtonian (PN) smoothed particle hydrodynamics (SPH) code, we have studied numerically the mergers of neutron star binaries with irrotational initial configurations. Here we describe a new method for constructing…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Joshua A. Faber , Frederic A. Rasio

We analyse the conservative evolution of spinning compact binaries to second post-Newtonian (2PN) order accuracy, with leading order spin-orbit, spin-spin and mass quadrupole-monopole contributions included. As a main result we derive a…

广义相对论与量子宇宙学 · 物理学 2015-05-04 László Árpád Gergely , Zoltán Keresztes

As a preliminary step towards simulating binary neutron star coalescing problem, we test a post-Newtonian approach by constructing a single neutron star model. We expand the Tolman-Oppenheimer-Volkov equation of hydrostatic equilibrium by…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Hisa-aki Shinkai

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary systems…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Han Wang , Clifford M. Will

The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors ${\bf S}_{{\bf 1}}, {\bf S}_{{\bf 2}}$ and ${\bf L}$, characterizing a binary system on eccentric orbit is studied up to the second…

广义相对论与量子宇宙学 · 物理学 2009-10-31 László Á. Gergely

We construct a secular theory of a coplanar system of N-planets not involved in strong mean motion resonances, and which are far from collision zones. Besides the point-to-point Newtonian mutual interactions, we consider the general…

天体物理学 · 物理学 2009-11-13 Cezary Migaszewski , Krzysztof Gozdziewski

Neutron stars in binary orbit emit gravitational waves and spiral slowly together. During this inspiral, they are expected to have very little vorticity. It is in fact a good approximation to treat the system as having zero vorticity, i.e.,…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Saul A. Teukolsky

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

广义相对论与量子宇宙学 · 物理学 2010-01-19 Dong-Hoon Kim

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 2008-11-26 Christopher Beetle , Benjamin Bromley , Napoleón Hernández , Richard H. Price

The radial component of the motion of compact binary systems composed of neutron stars and/or black holes on eccentric orbit is integrated. We consider all type of perturbations that emerge up to second post-Newtonian order. These…

广义相对论与量子宇宙学 · 物理学 2009-05-15 László Á. Gergely , Zoltán Keresztes , Balázs Mikóczi

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

广义相对论与量子宇宙学 · 物理学 2025-02-24 Yifan He , Jie Yang

We investigate the dynamics of two point-like particles through the third post-Newtonian (3PN) approximation of general relativity. The infinite self-field of each point-mass is regularized by means of Hadamard's concept of ``partie…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Luc Blanchet , Guillaume Faye

[abridged] Barack & Sago have recently computed the shift of the innermost stable circular orbit (ISCO) due to the conservative self-force that arises from the finite-mass of an orbiting test-particle. This is one of the first concrete…

广义相对论与量子宇宙学 · 物理学 2011-01-25 Marc Favata

The paper presents equations determining the particle spin evolution in the post-Newtonian approximation in the problem of motion of two mass and spin possessing particles. The equations are derived with the Einstein-Infeld-Hoffmann method…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mikhail V. Gorbatenko , Taras M. Gorbatenko

In general neutron stars in binaries are spinning. Recently, a new quasi-equilibrium approximation that includes a rotational velocity piece for each star has been proposed to describe binary neutron stars with arbitrary rotation states in…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Wolfgang Tichy

Solutions to equilibrium sequences of irrotational binary polytropic stars in Newtonian gravity are expanded in a power of $\epsilon=a_0/R$, where R and $a_0$ are the orbital separation of the binary system and the radius of each star for…

天体物理学 · 物理学 2009-10-31 Keisuke Taniguchi , Takashi Nakamura