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Using post-Newtonian equations of motion for fluid bodies valid to the second post-Newtonian order, we derive the equations of motion for binary systems with finite-sized, non-spinning but arbitrarily shaped bodies. In particular we study…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Mitchell , Clifford M. Will

We compute the energy spectra of the gravitational signals emitted when a pointlike mass moves on a closed orbit around a non rotating neutron star, inducing a perturbation of its gravitational field and its internal structure. The Einstein…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Gualtieri , E. Berti , J. A. Pons , G. Miniutti , V. Ferrari

Next-generation gravitational-wave detectors are expected to constrain the properties of extreme density matter via observations of static and dynamical tides in binary neutron star inspirals. The required modelling is straightforward in…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Shanshan Yin , Nils Andersson , Fabian Gittins

We present a pedagogical introduction to some key computations in gravitational waves via a side-by-side comparison with the quadrupole contribution of electromagnetic radiation. Subtleties involving gauge choices and projections over…

General Relativity and Quantum Cosmology · Physics 2022-01-31 Glauber C. Dorsch , Lucas E. A. Porto

Jeans instability within the framework of post-Newtonian Boltzmann and Poisson equations are analyzed. The components of the energy-momentum tensor are calculated from a post-Newtonian Maxwell-J\"uttner distribution function. The…

General Relativity and Quantum Cosmology · Physics 2021-10-26 Gilberto M. Kremer

We consider models of relativistic matter containing sharp interfaces across which the matter model changes. These models will be relevant for neutron stars with crusts, phase transitions, or for viscous boundaries where the length scale is…

General Relativity and Quantum Cosmology · Physics 2010-01-06 S. T. Millmore , I. Hawke

We use Effective Field Theory techniques to derive the quadrupole-quadrupole part of the gravitational wave, obtaining a waveform in agreement with previous results found within the multipolar-post-Minkowskian method. In particular we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

It has been estimated that a significant proportion of binary neutron star merger events produce long-lived massive remnants supported by differential rotation and subject to rotational instabilities. To examine formation and oscillation of…

General Relativity and Quantum Cosmology · Physics 2018-10-08 Xuefeng Zhang , Zhoujian Cao

For the analysis of gravitational-wave signals, fast and accurate gravitational-waveform models are required. These enable us to obtain information on the system properties from compact binary mergers. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Adrian Abac , Tim Dietrich , Alessandra Buonanno , Jan Steinhoff , Maximiliano Ujevic

Recent HST observations suggest that the NLR in Seyfert Galaxies can be the result of interaction between jet and external inhomogeneous medium; following this suggestion we perform numerical simulations considering the impact of a…

Astrophysics · Physics 2007-05-23 P. Rossi , A. Capetti , G. Bodo , S. Massaglia , A. Ferrari

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

Radiative transfer and radiation hydrodynamics use the relativistic Boltzmann equation to describe the kinetics of photons. It is difficult to solve the six-dimensional time-dependent transfer equation unless the problem is highly symmetric…

Instrumentation and Methods for Astrophysics · Physics 2011-02-09 Chi-kwan Chan

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

In this article we investigate mathematically the variant of post-Newtonian mechanics using generalized fractional derivatives. The relativistic-covariant generalization of the classical equations for gravitational field is studied. The…

General Relativity and Quantum Cosmology · Physics 2011-01-21 V. Kobelev

Using the new methodology introduced in a recent Letter [Phys.\ Rev.\ Lett.\ {\bf 123}, 231104 (2019)], we present the details of the computation of the conservative dynamics of gravitationally interacting binary systems at the fifth…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Donato Bini , Thibault Damour , Andrea Geralico

We consider the classic problem of a compact fluid source that behaves non-relativistically and that radiates gravitational waves. The problem consists of determining the metric close to the source as well as far away from it. The…

General Relativity and Quantum Cosmology · Physics 2024-02-05 Jelle Hartong , Jørgen Musaeus

(Abridged) Following particle trajectories in the intense electromagnetic field of a neutron star is prohibited by the large ratio between the cyclotron frequency $\omega_{\rm B}$ and the stellar rotation frequency $\Omega$. No fully…

High Energy Astrophysical Phenomena · Physics 2023-09-13 Jérôme Pétri

Contributions of the current-current and Darwin interactions and weak-relativistic addition to kinetic energy in the quantum hydrodynamic equations are considered. Features of hydrodynamic equations for two-dimensional layer of plasma…

Plasma Physics · Physics 2014-07-02 Pavel Andreev , Alexey Ivanov , Leonid Kuz'menkov

We present a detailed study of the hydrodynamical interactions in a Newtonian black hole-neutron star binary during the last stages of inspiral. We consider close binaries which are tidally locked, use a stiff equation of state (with an…

Astrophysics · Physics 2009-10-30 William H. Lee , Wlodzimierz Kluzniak

We examine the effect of mass and force resolution on a specific star formation (SF) recipe using a set of N-body/Smooth Particle Hydrodynamic simulations of isolated galaxies. Our simulations span halo masses from 10^9 to 10^13 solar…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 Charlotte Christensen , Thomas Quinn , Gregory Stinson , Jillian Bellovary , James Wadsley