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This paper presents a post-Newtonian (PN) template family of gravitational waveforms from inspiralling compact binaries with non-precessing spins, where the spin effects are described by a single "reduced-spin" parameter. This template…

General Relativity and Quantum Cosmology · Physics 2011-10-20 P. Ajith

The general motion of spinning test particles to the leading order approximation of spin in the brane-world spacetime is investigated. Analytical integrations for the equations of motion and linear shifts in orbital frequency are obtained.…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Yunlong Liu , Xiangdong Zhang

We derive quantum kinetic equations from a quantum field theory implementing a diagrammatic perturbative expansion improved by a resummation via the dynamical renormalization group. The method begins by obtaining the equation of motion of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , H. J. de Vega , S. -Y. Wang

The next-to-next-to-leading order post-Newtonian spin-orbit and spin(1)-spin(2) Hamiltonians for binary compact objects in general relativity are derived. The Arnowitt-Deser-Misner canonical formalism and its generalization to spinning…

General Relativity and Quantum Cosmology · Physics 2013-05-07 Johannes Hartung , Jan Steinhoff , Gerhard Schäfer

We study the performance of various analytical frequency-domain templates for detection and parameter estimation of gravitational waves from spin-precessing, quasi-circular, compact binary inspirals. We begin by assessing the extent to…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Katerina Chatziioannou , Neil Cornish , Antoine Klein , Nicolas Yunes

We introduce a real-space renormalisation group procedure for driven diffusive systems which predicts both steady state and dynamic properties. We apply the method to the boundary driven asymmetric simple exclusion process and recover exact…

Statistical Mechanics · Physics 2009-11-11 T. Hanney , R. B. Stinchcombe

We construct an explicit electromagnetic analogue of the post-Newtonian Hamiltonian framework widely used in gravitational-wave physics. Starting from the Lorentz--Dirac equation and implementing Landau--Lifshitz order reduction, we derive…

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As result of the precession of spins the magnitude $L$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 László Á. Gergely , Zoltán Keresztes

In the present paper, the leading-order post-Newtonian spin-orbit and spin(1)-spin(2) radiation-reaction Hamiltonians are calculated. We utilize the canonical formalism of Arnowitt, Deser, and Misner (ADM), which has shown to be valuable…

General Relativity and Quantum Cosmology · Physics 2012-01-31 Han Wang , Jan Steinhoff , Jing Zeng , Gerhard Schäfer

The non-linearities of the dynamics of Earth artificial satellites are encapsulated by two formal integrals that are customarily computed by perturbation methods. Standard procedures begin with a Hamiltonian simplification that removes…

Dynamical Systems · Mathematics 2020-09-23 Martin Lara

The renormalization-group method is used to analyze the low-temperature behaviour of a two-dimentional, spin-$s$ quantum Heisenberg ferromagnet. A set of recursion equations is derived in an one-loop approximation. The low-temperature…

Condensed Matter · Physics 2009-10-28 Naoum Karchev

We review a recently proposed approach to construct gravitational wave (GW) polarization states of unbound spinning compact binaries. Through this rather simple method, we are able to include corrections due to the dominant order spin-orbit…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Lorenzo De Vittori , Achamveedu Gopakumar , Anuradha Gupta , Philippe Jetzer

We develop the foundations of an effective-one-body (EOB) model for eccentric binary coalescences that includes the conservative dynamics, radiation reaction, and gravitational waveform modes from the inspiral and the merger-ringdown…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Tanja Hinderer , Stanislav Babak

We obtain an efficient description for the dynamics of nonspinning compact binaries moving in inspiralling eccentric orbits to implement the phasing of gravitational waves from such binaries at the 3.5 post-Newtonian (PN) order. Our…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Koenigsdoerffer , Achamveedu Gopakumar

We describe an on-shell, amplitudes-based approach to incorporating radiation absorption effects in the post-Minkowskian scattering of generic, compact, spinning bodies. Classical spinning observables are recovered by extrapolating to large…

High Energy Physics - Theory · Physics 2026-01-05 Juan Pablo Gatica , Callum R. T. Jones

We present a recently developed prescription to obtain ready-to-use gravitational wave (GW) polarization states for spinning compact binaries on hyperbolic orbits. We include leading order spin-orbit interactions, invoking 1.5PN-accurate…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Lorenzo De Vittori , Achamveedu Gopakumar , Anuradha Gupta , Philippe Jetzer

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

High Energy Physics - Theory · Physics 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

We investigate the use of renormalisation group methods to solve partial differential equations (PDEs) numerically. Our approach focuses on coarse-graining the underlying continuum process as opposed to the conventional numerical analysis…

Statistical Mechanics · Physics 2009-10-31 Nigel Goldenfeld , Alan McKane , Qing Hou

Gravitational waves (GWs) emitted by generic black-hole binaries show a rich structure that directly reflects the complex dynamics introduced by the precession of the orbital plane, which poses a real challenge to the development of generic…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Patricia Schmidt , Frank Ohme , Mark Hannam

A generalizing formulation of dynamical real-space renormalization that suits for arbitrary spin systems is suggested. The new version replaces the single-spin flipping Glauber dynamics with the single-spin transition dynamics. As an…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jian-Yang Zhu , Z. R. Yang
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