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Cosmological observations over past couple of decades favor our universe with a tiny positive cosmological constant. Presence of cosmological constant not only imposes theoretical challenges in gravitational wave physics, it has also…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Sk Jahanur Hoque , Ankit Aggarwal

Compact object clusters are likely to exist in the centre of some galaxies because of mass segregation. The high densities and velocities reached in them deserves a better understanding. The formation of binaries and their subsequent…

Astrophysics · Physics 2009-11-11 Gabor Kupi , Pau Amaro-Seoane , Rainer Spurzem

We analyze the dynamical evolution of binary stars that interact with a static background of single stars in the environment of a massive black hole (MBH). All stars are considered to be single mass, Newtonian point particles. We follow the…

Cosmology and Nongalactic Astrophysics · Physics 2009-08-03 Clovis Hopman

Periodic solutions of the three body problem are very important for understanding its dynamics either in a theoretical framework or in various applications in celestial mechanics. In this paper we discuss the computation and continuation of…

Earth and Planetary Astrophysics · Physics 2017-04-04 George Voyatzis

Searches for gravitational waves from compact binaries focus mostly on quasi-circular motion, with the rationale that wave emission circularizes the orbit. Here, we study the generality of this result, when astrophysical environments (e.g.,…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Vitor Cardoso , Caio F. B. Macedo , Rodrigo Vicente

The study of the interaction of a massive black hole binary with its gaseous environment is crucial in order to be able to predict merger rates and possible electromagnetic counterparts of gravitational wave signals. The evolution of the…

High Energy Astrophysical Phenomena · Physics 2022-05-04 Alessia Franchini , Alessandro Lupi , Alberto Sesana

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

We consider the planar circular equilateral restricted four body-problem where a test particle of infinitesimal mass is moving under the gravitational attraction of three primary bodies which move on circular orbits around their common…

Earth and Planetary Astrophysics · Physics 2017-09-28 Euaggelos E. Zotos

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

We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luc Blanchet

Compact binary systems coalesce over time due to the radiation of gravitational waves, following the field equations of general relativity. Conservation of energy and angular momentum gives a mathematical description for the evolution of…

High Energy Astrophysical Phenomena · Physics 2020-04-10 Lutendo Nyadzani , Soebur Razzaque

We map the general relativistic two-body problem onto that of a test particle moving in an effective external metric. This effective-one-body approach defines, in a non-perturbative manner, the late dynamical evolution of a coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. Buonanno , T. Damour

The usual equation for both motions of a single planet around the sun and electrons in the deterministic Rutherford-Bohr atomic model is conservative with a singular potential at the origin. When a dissipation is added, new phenomena…

Dynamical Systems · Mathematics 2021-01-11 Alain Haraux

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

General Relativity and Quantum Cosmology · Physics 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

We study the motion of classical particles confined in a two-dimensional "nuclear" billiard whose walls undergo periodic shape oscillations according to a fixed multipolarity. The presence of a coupling term in the single particle…

Nuclear Theory · Physics 2009-09-25 G. F. Burgio , M. Baldo , A. Rapisarda , P. Schuck

We study the dynamical entanglement of two identical atoms interacting with a quantum field. As a simplified model for this physical system we consider two harmonic oscillators linearly coupled to a massless scalar field in the dressed…

Quantum Physics · Physics 2015-11-12 G. Flores-Hidalgo , M. Rojas , Onofre Rojas

Highly eccentric binary systems appear in many astrophysical contexts, ranging from tidal capture in dense star clusters, precursors of stellar disruption by massive black holes, to high-eccentricity migration of giant planets. In a highly…

Solar and Stellar Astrophysics · Physics 2018-02-14 Michelle Vick , Dong Lai

We study the imprints of new ultralight particles on the gravitational-wave signals emitted by binary black holes. Superradiant instabilities may create large clouds of scalar or vector fields around rotating black holes. The presence of a…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Daniel Baumann , Horng Sheng Chia , Rafael A. Porto , John Stout

We study the orbital evolution of a radiation-damped binary in the extreme mass ratio limit, and the resulting waveforms, to one order beyond what can be obtained using the conservation laws approach. The equations of motion are solved…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lior M. Burko

We extend our previous studies of head-on collisions of boson stars by considering orbiting binary boson stars. We concentrate on equal mass binaries and study the dynamical behavior of boson/boson and boson/antiboson pairs. We examine the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Palenzuela , L. Lehner , S. L. Liebling