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In general relativity, the motion of an extended test body is influenced by its proper rotation, or spin. We present a covariant and physically self-consistent Hamiltonian framework to study this motion, up to quadratic order in the body's…

广义相对论与量子宇宙学 · 物理学 2025-03-18 Paul Ramond

The harmonic metric for a moving Kerr black hole is presented in the second post-Minkowskian approximation. It is further demonstrated that the obtained metric is consistent with the Li\'{e}nard-Wiechert gravitational potential for a moving…

广义相对论与量子宇宙学 · 物理学 2020-07-28 Guansheng He , Chunhua Jiang , Wenbin Lin

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

广义相对论与量子宇宙学 · 物理学 2014-04-21 Alexandre Le Tiec

In the effective-one-body (EOB) approach the dynamics of two compact objects of masses m1 and m2 and spins S1 and S2 is mapped into the dynamics of one test particle of mass mu = m1 m2/(m1+m2) and spin S* moving in a deformed Kerr metric…

广义相对论与量子宇宙学 · 物理学 2011-12-01 Enrico Barausse , Alessandra Buonanno

Quantum scattering amplitudes for massive matter have received new attention in connection to classical calculations relevant to gravitational-wave physics. Amplitude methods and insights are now employed for precision computations of…

高能物理 - 理论 · 物理学 2022-03-09 Marco Chiodaroli , Henrik Johansson , Paolo Pichini

We study the general relativistic periastron advance in spinning black hole binaries on quasi-circular orbits, with spins aligned or anti-aligned with the orbital angular momentum, using numerical-relativity simulations, the post-Newtonian…

Hermitian non-K\"ahler Einstein 4-manifolds have a quasi-locally conserved charge associated to spin-lowering via Killing spinors, and corresponding to a parameter of the moduli space. This charge is evaluated for all explicitly known…

广义相对论与量子宇宙学 · 物理学 2026-01-27 Lars Andersson , Bernardo Araneda

We investigate for order and chaos the dynamical system of a spinning test particle of mass $m$ moving in the spacetime background of a Kerr black hole of mass M. This system is approximated in our investigation by the linear in spin…

广义相对论与量子宇宙学 · 物理学 2016-07-12 Georgios Lukes-Gerakopoulos , Matthaios Katsanikas , Panos A. Patsis , Jonathan Seyrich

In this thesis, I will study the classical scattering problem of two Kerr black holes in general relativity with novel quantum field theory techniques in the Post-Minkowskian (PM) expansion, generalizing the subleading soft theorem to the…

高能物理 - 理论 · 物理学 2024-12-04 Damiano Barcaro

Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

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

This second part of the series treats spin $\pm2$ components (or extreme components), that satisfy the Teukolsky master equation, of the linearized gravity in the exterior of a slowly rotating Kerr black hole. For each of these two…

广义相对论与量子宇宙学 · 物理学 2020-08-28 Siyuan Ma

This paper presents an analytic perturbation approach to the dynamics of a classical spinning particle, according to the Mathisson-Papapetrou-Dixon (MPD) equations of motion, with a direct application to circular motion around a Kerr black…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Dinesh Singh

Using the spinning worldline quantum field theory formalism we calculate the quadratic-in-spin momentum impulse $\Delta p_i^\mu$ and spin kick $\Delta a_i^\mu$ from a scattering of two arbitrarily oriented spinning massive bodies (black…

高能物理 - 理论 · 物理学 2022-10-05 Gustav Uhre Jakobsen , Gustav Mogull

We derive a Hamiltonian for an extended spinning test body in a curved background spacetime, to quadratic order in the spin, in terms of three-dimensional position, momentum, and spin variables having canonical Poisson brackets. This…

广义相对论与量子宇宙学 · 物理学 2021-06-29 Justin Vines , Daniela Kunst , Jan Steinhoff , Tanja Hinderer

We determine the binding energy, the total gravitational wave energy flux, and the gravitational wave modes for a binary of rapidly spinning black holes, working in linearized gravity and at leading orders in the orbital velocity, but to…

广义相对论与量子宇宙学 · 物理学 2018-06-22 Nils Siemonsen , Jan Steinhoff , Justin Vines

We present a study of spinning black hole binaries focusing on the spin dynamics of the individual black holes as well as on the gravitational recoil acquired by the black hole produced by the merger. We consider two series of initial spin…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Frank Herrmann , Ian Hinder , Deirdre M. Shoemaker , Pablo Laguna , Richard A. Matzner

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

广义相对论与量子宇宙学 · 物理学 2010-05-12 László Árpád Gergely

The static, i.e., linear momentum independent, part of the next-to-leading order (NLO) gravitational spin(1)-spin(1) interaction Hamiltonian within the post-Newtonian (PN) approximation is calculated from a 3-dim. covariant ansatz for the…

广义相对论与量子宇宙学 · 物理学 2010-02-16 Jan Steinhoff , Steven Hergt , Gerhard Schäfer

We study the link between classical scattering of spinning black holes and quantum amplitudes for massive spin-$s$ particles. Generic spin orientations of the black holes are considered, allowing their spins to be deflected on par with…

高能物理 - 理论 · 物理学 2019-11-20 Alfredo Guevara , Alexander Ochirov , Justin Vines