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Compact objects in general relativity approximately move along geodesics of spacetime. It is shown that the corrections to geodesic motion due to spin (dipole), quadrupole, and higher multipoles can be modeled by an extension of the point…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Jan Steinhoff

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

Observations of gravitational wave (GW) signals produced by coalescing binary neutron stars (NS), like the GW event GW170817, can be exploited to constrain the equation of state (EoS) of matter in the stars' inner core. The information on…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Tiziano Abdelsalhin

We study the effect of the neutron star spin -- kick velocity alignment observed in young radio pulsars on the coalescence rate of binary neutron stars. Two scenarios of the neutron star formation are considered: when the kick is always…

Astrophysics · Physics 2009-11-13 K. A. Postnov , A. G. Kuranov

The relativistic multipole moments provide a key ingredient to characterize the gravitational field around compact astrophysical objects. They play a crucial role in the description of the orbital evolution of coalescing binary systems and…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Massimo Vaglio , Costantino Pacilio , Andrea Maselli , Paolo Pani

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Thibault Damour

We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Hideyuki Tagoshi , Akira Ohashi , Benjamin J. Owen

Recent gravitational wave observations include possible detections of black hole - neutron star binary mergers. As with binary black hole mergers, numerical simulations help characterize the sources. For binary systems with neutron star…

General Relativity and Quantum Cosmology · Physics 2024-04-16 Bing-Jyun Tsao , Bhavesh Khamesra , Miguel Gracia-Linares , Pablo Laguna

Simulations of binary neutron stars have seen great advances in terms of physical detail and numerical quality. However, the spin of the neutron stars, one of the simplest global parameters of binaries, remains mostly unstudied. We present…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Sebastiano Bernuzzi , Tim Dietrich , Wolfgang Tichy , Bernd Bruegmann

We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

We present a Bayesian data analysis pipeline for testing GR using gravitational wave signals from coalescing compact binaries, and in particular binary neutron stars. In this study, we investigate its performance when sources with spins are…

General Relativity and Quantum Cosmology · Physics 2013-08-06 Michalis Agathos , Walter Del Pozzo , Tjonnie G. F. Li , Chris Van Den Broeck , John Veitch , Salvatore Vitale

The construction of ready to use templates for gravitational waves from spinning binaries is an important challenge in the investigation of detectable gravitational wave signals. Here we present a method to evaluate the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

Modern astrophysical methods of determination of spins of rotating stellar-mass black hole in close binaries and of supermassive black holes in active galactic nuclei are briefly discussed. Effective spins of coalescing binary black holes…

High Energy Astrophysical Phenomena · Physics 2020-07-31 K. Postnov , A. Kuranov , N. Mitichkin

We examine the parameter accuracy that can be achieved by advanced ground-based detectors for binary inspiralling black holes and neutron stars. We use the 2.5 PN spinning waveforms of Arun et al. (2009). Our main result is that the errors…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Alex B. Nielsen

We calculate the gravitational radiation produced by the coalescence of inspiraling binary neutron stars in the Newtonian regime using 3-dimensional numerical simulations. The stars are modeled as polytropes and start out in the point-mass…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Xing Zhuge , Joan M. Centrella , Stephen L. W. McMillan

Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of…

High Energy Astrophysical Phenomena · Physics 2020-04-10 Lutendo Nyadzani , Soebur Razzaque

In this paper we look at the gravitational spin--spin interaction between macroscopic astronomical bodies. In particular, we calculate their post--Newtonian orbital effects of order $\mathcal{O}(c^{-2})$ on the trajectory of a spinning…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dörte Hansen

Binary systems of rapidly spinning compact objects, such as black holes or neutron stars, are prime targets for gravitational wave astronomers. The dynamics of these systems can be very complicated due to spin-orbit and spin-spin couplings.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Neil J. Cornish , Janna Levin

The gravitational wave signal from a binary neutron star merger carries the imprint of the deformability properties of the coalescing bodies, and then of the equation of state of neutron stars. In current models of the waveforms emitted in…

General Relativity and Quantum Cosmology · Physics 2022-07-20 Gonçalo Castro , Leonardo Gualtieri , Andrea Maselli , Paolo Pani