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We calculate the explicit equations of motion for non-spinning compact objects to 2.5 post-Newtonian order, or O(v/c)^5 beyond Newtonian gravity, in a general class of scalar-tensor theories of gravity. We use the formalism of the Direct…

General Relativity and Quantum Cosmology · Physics 2013-05-14 Saeed Mirshekari , Clifford M. Will

We investigate a family of discrete-time stationary processes defined by multiple stable integrals and renewal processes with infinite means. The model may exhibit behaviors of short-range or long-range dependence, respectively, depending…

Probability · Mathematics 2022-12-29 Shuyang Bai , Yizao Wang

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

Coalescing binary black holes experience an impulsive kick due to anisotropic emission of gravitational waves. We discuss the dynamical consequences of the recoil accompanying massive black hole mergers. Recoil velocities are sufficient to…

Astrophysics · Physics 2011-05-12 David Merritt , Milos Milosavljevic , Marc Favata , Scott A. Hughes , Daniel E. Holz

This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiralling compact binary system to the five halves post-Newtonian (2.5PN) approximation of general relativity. Extending a recently…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Luc Blanchet

In this short review we describe some of the latest endeavours to understand the activity around Black Holes. First, it has been possible to demonstrate that a large part of the electromagnetic emission observed can be interpreted as…

Astrophysics · Physics 2007-05-23 Peter L. Biermann , Mihaela Chirvasa , Heino Falcke , Sera Markof , Christian Zier

The rotation powered pulsar loses angular momentum at a rate of the rotation power divided by the angular velocity $\Omega_*$. This means that the length of the lever arm of the angular momentum extracted by the photons, relativistic…

High Energy Astrophysical Phenomena · Physics 2021-08-11 Shinpei Shibata , Shota Kisaka

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 consider the effects of quartic self-interactions on the dynamics of a binary system due to a (nearly) massless scalar field conformally coupled to matter. We investigate the deviations from General Relativity at the conservative level…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Philippe Brax , Emma Bruyère

In close binary stars, the tidal excitation of pulsations typically dissipates energy, causing the system to evolve towards a circular orbit with aligned and synchronized stellar spins. However, for stars with self-excited pulsations, we…

Solar and Stellar Astrophysics · Physics 2020-12-02 Jim Fuller

Angular momentum transport is a fundamental process shaping the structure, evolution, and lifespans of stars and disks across a wide range of astrophysical systems. Be stars offer a valuable environment for studying viscous transport of…

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

Hyperbolic encounters of compact objects are common interactions in dense environments. During this process a significant amount of gravitational radiation is emitted depending on the parameters of the system. Here we give a parametric…

General Relativity and Quantum Cosmology · Physics 2014-09-24 Mátyás Vasúth

The present paper derives the post-Newtonian Lagrangian of translational motion of N arbitrary-structured bodies with all mass and spin multipoles in a scalar-tensor theory of gravity. The multipoles depend on time and evolve in accordance…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Sergei M. Kopeikin

In a general class of one dimensional random differential equation the convergence of the distribution function of the solution to stationary state distribution is studied. In particular it is proved the boundedness respectively the…

Probability · Mathematics 2010-07-07 Gyorgy Steinbrecher , Xavier Garbet , Boris Weyssow

We consider the evolution of a binary system interacting due to tidal effects without restriction on the orientation of the orbital, and where significant, spin angular momenta, and orbital eccentricity. We work in the low tidal forcing…

Solar and Stellar Astrophysics · Physics 2020-11-11 P. B. Ivanov , J. C. B. Papaloizou

We consider a burst of quadrupole gravitational radiation in the presence of a large static mass $M$ situated at its source. Some of the radiation is back-scattered off the static field of the large mass, forming a wave tail. After the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 W. B. Bonnor , M. S. Piper

We investigate the non linear mixing of orbital angular momentum in type II second harmonic generation with arbitrary topological charges imprinted on two orthogonally polarized beams. Starting from the basic nonlinear equations for the…

We develop a complete relativistic theory to describe the dynamics of electronic angular momentum including both spin (S) and orbital (L) contributions in magnetic systems. We start with the relativistic Dirac-Kohn-Sham Hamiltonian under…

Other Condensed Matter · Physics 2026-05-19 Subhadip Santra , Ritwik Mondal , Marco Berritta , Peter M. Oppeneer