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Related papers: Post-Newtonian spin-tidal couplings for compact bi…

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The neutron star tidal deformability is a critical parameter which determines the pre-merger gravitational-wave signal in a neutron star merger. In this article, we show how neutron star tidal deformabilities behave in the presence of one…

Nuclear Theory · Physics 2019-05-08 Sophia Han , Andrew W. Steiner

We compute the tail contributions to the gravitational-wave mode amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order of general relativity. We combine them with the already available instantaneous pieces…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Yannick Boetzel , Chandra Kant Mishra , Guillaume Faye , Achamveedu Gopakumar , Bala R. Iyer

We study the tidal disruption of neutron stars in black hole-neutron star coalescing binaries. We calculate the critical orbital separation at which the star is disrupted by the black hole tidal field for several equations of state…

General Relativity and Quantum Cosmology · Physics 2010-04-14 V. Ferrari , L. Gualtieri , F. Pannarale

The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode ($\ell$, m) = (2, 2) is…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

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…

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

We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum ${\bf L}$ rather than…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Anuradha Gupta , Achamveedu Gopakumar

We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor. Scattering amplitudes in…

High Energy Physics - Theory · Physics 2023-01-11 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Eric Sawyer , Chia-Hsien Shen

Tidal interactions play an important role in the evolution and ultimate fate of compact white dwarf (WD) binaries. Not only do tides affect the pre-merger state (such as temperature and rotation rate) of the WDs, but they may also determine…

Solar and Stellar Astrophysics · Physics 2015-04-30 Jim Fuller , Dong Lai

While dynamical tides only become relevant during the last couple of orbits for circular inspirals, orbital eccentricity can increase their impact during earlier phases of the inspiral by exciting tidal oscillations at each close encounter.…

High Energy Astrophysical Phenomena · Physics 2025-02-07 János Takátsy , Bence Kocsis , Péter Kovács

We formally show that the conservative second post-Newtonian (PN) accurate dynamics of spinning compact binaries moving in eccentric orbits, when spin effects are restricted to the leading order spin-orbit interaction cannot be chaotic for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Achamveedu Gopakumar , Christian Koenigsdoerffer

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…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Johannes Hartung , Jan Steinhoff

The two-body dynamics in general relativity has been solved perturbatively using the post-Newtonian (PN) approximation. The evolution of the orbital phase and the emitted gravitational radiation are now known to a rather high order up to…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Alessandra Buonanno , Bala Iyer , Evan Ochsner , Yi Pan , B. S. Sathyaprakash

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory…

High Energy Physics - Theory · Physics 2024-02-28 Manoj K. Mandal , Pierpaolo Mastrolia , Hector O. Silva , Raj Patil , Jan Steinhoff

We use effective field theory techniques to compute the potentials due to spin-spin and spin-orbit effects, from which the spin(1)spin(2) contribution to the motion of spinning compact binaries to third Post-Newtonian (PN) order follow. We…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

High Energy Physics - Theory · Physics 2020-11-11 Clifford Cheung , Mikhail P. Solon

Tidal and tidal-resonant effects in coalescing compact binary systems are investigated by direct numerical integration of the equations of motion. For the stars polytropic models are used. The tidal effects are found to be dominated by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Kostas D. Kokkotas , Gerhard Schaefer

We study the excitation and damping of tides in close binary systems, accounting for the leading order nonlinear corrections to linear tidal theory. These nonlinear corrections include two distinct effects: three-mode nonlinear interactions…

Solar and Stellar Astrophysics · Physics 2015-05-28 Nevin N. Weinberg , Phil Arras , Eliot Quataert , Josh Burkart

We analyze the coupling between the internal degrees of freedom of neutron stars in a close binary, and the stars' orbital motion. Our analysis is based on the method of matched asymptotic expansions and is valid to all orders in the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Eanna E. Flanagan

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 study how to extract information on the neutron star equation of state from the gravitational wave signal emitted during the coalescence of a binary system composed of two neutron stars or a neutron star and a black hole. We use…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Andrea Maselli , Leonardo Gualtieri , Valeria Ferrari