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The action for a class of three-dimensional dilaton-gravity theories, with an electromagnetic Maxwell field and a cosmological constant, can be recast in a Brans-Dicke-Maxwell type action, with its free $\omega$ parameter. For a negative…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Gonçalo A. S. Dias , José P. S. Lemos

The gravitational radiation backreaction effects are considered in the Lense-Thirring approximation. New methods for parameterizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S…

General Relativity and Quantum Cosmology · Physics 2009-10-30 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

In the context of the dynamics and stability of black holes in modified theories of gravity, we derive the Teukolsky equations for massless fields of all spins in general spherically-symmetric and static metrics. We then compute the…

General Relativity and Quantum Cosmology · Physics 2021-05-10 Alexandre Arbey , Jérémy Auffinger , Marc Geiller , Etera R. Livine , Francesco Sartini

The asymptotic nature of unbound binary-black-hole encounters provides a clean method for comparing different approaches for modeling the two-body problem in general relativity. In this work, we use numerical relativity simulations of…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Oliver Long , Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel

An equation of motion for relativistic compact binaries is derived through the third post-Newtonian (3 PN) approximation of general relativity. The strong field point particle limit and multipole expansion of the stars are used to solve…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yousuke Itoh

The 3+1 Hamiltonian formulation in the gauge $D_tN=-K$ on the lapse function fixes the direction of time associated with the trace $K$ of the extrinsic curvature tensor. The Hamiltonian equations hereby become hyperbolic. We study this new…

General Relativity and Quantum Cosmology · Physics 2008-11-04 Maurice H. P. M. van Putten

We introduce a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. The coupled Einstein field equations and equations of relativistic hydrodynamics are solved in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Pedro Marronetti , Stuart L. Shapiro

The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors ${\bf S}_{{\bf 1}}, {\bf S}_{{\bf 2}}$ and ${\bf L}$, characterizing a binary system on eccentric orbit is studied up to the second…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

We investigate the hyperbolic scattering of test particles, spinning test particles and particles with spin-induced quadrupolar structure by a Kerr black hole in the ultrarelativistic regime. We also study how the features of the scattering…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Donato Bini , Andrea Geralico

In this article the quasi-Keplerian parameterisation for the case that spins and orbital angular momentum in a compact binary system are aligned or anti-aligned with the orbital angular momentum vector is extended to 3PN point-mass,…

General Relativity and Quantum Cosmology · Physics 2015-12-08 Manuel Tessmer , Johannes Hartung , Gerhard Schäfer

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Donato Bini , Giorgio Di Russo

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

The motion of compact binaries is influenced by the spin of their components starting at the 1.5 post-Newtonian (PN) order. On the other hand, in the large mass ratio limit, the spin of the lighter object appears in the equations of motion…

General Relativity and Quantum Cosmology · Physics 2025-05-26 Vojtěch Witzany , Viktor Skoupý , Leo C. Stein , Sashwat Tanay

Using the Multipolar post-Minskowskian formalism, we compute the linear momentum flux from black-hole binaries in circular orbits and having no spins. The total linear momentum flux contains various types of instantaneous (which are…

General Relativity and Quantum Cosmology · Physics 2013-04-23 Chandra Kant Mishra , K G Arun , Bala R Iyer

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

We consider the motion of a point particle with spin in a stationary spacetime. We define, following Witzany (2019) and later Ramond (2022), a twelve dimensional Hamiltonian dynamical system whose orbits coincide with the solutions of the…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Francisco M. Blanco , Éanna É. Flanagan

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively.…

High Energy Physics - Lattice · Physics 2021-05-26 Yan Li , Jia-jun Wu , Derek B. Leinweber , Anthony W. Thomas

Starting from the recently derived conservative tail-of-tail action [D. Bini and T. Damour, arXiv:2504.20204 [hep-th]] we compute several dynamical observables of binary systems (Delaunay Hamiltonian, scattering angle), at the 6.5…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Donato Bini , Thibault Damour , Andrea Geralico

Using the worldline quantum field theory formalism, we compute the conservative scattering angle and impulse for classical black hole scattering at fifth post-Minkowskian (5PM) order by providing the second self-force (2SF) contributions.…

High Energy Physics - Theory · Physics 2026-02-04 Mathias Driesse , Gustav Uhre Jakobsen , Gustav Mogull , Christoph Nega , Jan Plefka , Benjamin Sauer , Johann Usovitsch

The capture of compact bodies by black holes in galactic nuclei is an important prospective source for low frequency gravitational wave detectors, such as the planned Laser Interferometer Space Antenna. This paper calculates, using a…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Jonathan R Gair , Daniel J Kennefick , Shane L Larson