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The two-body problem in General Relativity has been the subject of many analytical investigations. After reviewing some of the methods used to tackle this problem (and, more generally, the N-body problem), we focus on a new, recently…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Thibault Damour

The principal subject of this thesis is the gravitational two-body problem in the extreme-mass-ratio regime---that is, where one mass is significantly smaller than the other---in the full context of our contemporary theory of gravity,…

General Relativity and Quantum Cosmology · Physics 2019-12-16 Marius Oltean

Cavity quantum electrodynamics of multipartite systems is studied in depth, which consist of an arbitrary number of emitters in interaction with an arbitrary number of cavity modes. The governing model is obtained by taking the full…

Quantum Physics · Physics 2015-09-30 Moslem Alidoosty Shahraki , Sina Ataollah Khorasani

We propose a new scenario for the evolution of a binary of primordial black holes (PBHs). We consider a dynamical friction by ambient dark matter, scattering of dark matter particles with a highly eccentric orbit besides the standard…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Kimitake Hayasaki , Keitaro Takahashi , Yuuiti Sendouda , Shigehiro Nagataki

A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

Gravitational waves provide us with a new window into our Universe, and have already been used to place strong constrains on the existence of light scalar fields, which are a common feature in many alternative theories of gravity. However,…

General Relativity and Quantum Cosmology · Physics 2021-10-28 Philippe Brax , Anne-Christine Davis , Scott Melville , Leong Khim Wong

We numerically study the dual field theory evolution of five-dimensional asymptotically anti-de Sitter solutions of supergravity that develop cosmological singularities. The dual theory is an unstable deformation of the N = 4 gauge theory…

High Energy Physics - Theory · Physics 2010-12-09 Lorenzo Battarra , Thomas Hertog

We investigate the possibility of generating sizeable dipole radiations in relativistic theories of gravity. Optimal parameters to observe their effects through the orbital period decay of binary star systems are discussed. Constraints on…

General Relativity and Quantum Cosmology · Physics 2007-08-14 J. -M. Gerard , Y. Wiaux

Dynamics of regular clusters of many non-touching particles falling under gravity in a viscous fluid at low Reynolds number are analysed within the point-particle model. Evolution of two families of particle configurations is determined: 2…

Soft Condensed Matter · Physics 2015-09-02 Marta Gruca , Marek Bukowicki , Maria L. Ekiel-Jezewska

Two noninteracting atoms, initially entangled in Bell states, are coupled to a one-mode cavity. Based on the reduced non-perturbative quantum master equation, the entanglement evolution of the two atoms with decay is investigated beyond…

Quantum Physics · Physics 2009-11-13 Qing Yang , Ming Yang , Da-Chuang Li , Zhuo-Liang Cao

2+1 dimensional anti-de Sitter space has been the subject of much recent investigation. Studies of the behaviour of point particles in this space have given us a greater understanding of the BTZ black hole solutions produced by topological…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Simon DeDeo , J. Richard Gott

Expressions for variables of the center of mass and relative motions for two-body system with different and equal masses in three-dimensional spaces of constant curvature are introduced in the terms of biquaternions. The problem of the…

Mathematical Physics · Physics 2015-07-24 Yu. Kurochkin , Dz. Shoukavy , I. Boyarina

We improve and extend Shapiro's model of a relativistic, compact object which is stable in isolation but is driven dynamically unstable by the tidal field of a binary companion. Our compact object consists of a dense swarm of test particles…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Matthew D. Duez , Eric T. Engelhard , John M. Fregeau , Kevin M. Huffenberger , Stuart L. Shapiro

We discuss the first available binary evolution models which include up-to-date rotational physics for both components, as well as angular momentum accretion and spin-orbit coupling. These models allow a self-consistent computation of the…

Astrophysics · Physics 2007-05-23 N. Langer , S. -C. Yoon , J. Petrovic , A. Heger

This paper studies the secondary's rotation in a synchronous binary asteroid system in which the secondary enters the 1:1 spin-orbit resonance. The model used is the planar full two-body problem composed of a spherical primary plus a…

Earth and Planetary Astrophysics · Physics 2020-02-19 Haishuo Wang , Xiyun Hou

In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Jorge G. Russo

Extreme mass-ratio inspirals, in which solar-mass compact bodies spiral into supermassive black holes, are an important potential source for gravitational wave detectors. Because of the extreme mass-ratio, one can model these systems using…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Adam Pound

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

Dual-unitary circuits are a class of locally-interacting quantum many-body systems displaying unitary dynamics also when the roles of space and time are exchanged. These systems have recently emerged as a remarkable framework where certain…

Statistical Mechanics · Physics 2023-07-04 Alessandro Foligno , Bruno Bertini

An exact solution of the vacuum Einstein equations with a cosmological constant is exhibited which can perhaps be used to describe the interior of compact rotating objects. The physical part of this solution has the topology of a torus,…

General Relativity and Quantum Cosmology · Physics 2007-09-24 G. F. Chapline , P. Marecki