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For the three-body problem, we consider the Lagrange stability. To analyze the stability, along with integrals of energy and angular momentum, we use relations by the author from Sosnitskii (2005), which band together separately squared…

Earth and Planetary Astrophysics · Physics 2012-10-02 Stepan Sosnitskii

Gravitational waves from oscillating neutron stars in axial symmetry are studied performing numerical simulations in full general relativity. Neutron stars are modeled by a polytropic equation of state for simplicity. A gauge-invariant wave…

Astrophysics · Physics 2009-11-10 Masaru Shibata , Yuichirou Sekiguchi

We propose a novel method to test the consistency of the multipole moments of compact binary systems with the predictions of General Relativity (GR). The multipole moments of a compact binary system, known in terms of symmetric and…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

We compute the non-linear memory contributions to the gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian (3PN) order in general relativity. These contributions are hereditary in nature as they…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Michael Ebersold , Yannick Boetzel , Guillaume Faye , Chandra K. Mishra , Bala R. Iyer , Philippe Jetzer

Most all-sky searches for continuous gravitational waves assume the source to be isolated. In this paper, we allow for an unknown companion object in a long-period orbit and opportunistically use previous results from an all-sky search for…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Avneet Singh , Maria Alessandra Papa

Searches for un-modelled burst gravitational wave signals return potential candidates for short duration signals. As there is no clear model for the source in these searches, one needs to understand and reconstruct the system that produced…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Joseph Bayley , Chris Messenger , Graham Woan

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

Compact object binaries formed from dynamics interactions will generically have non-zero orbital eccentricity. The gravitational waves from such binaries can change drastically depending on how large the eccentricity is, ranging from…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nicholas Loutrel

Up to the third post-Newtonian (3PN) order, we compute (i) the current-type quadrupole moment of (non-spinning) compact binary systems, as well as (ii) the corresponding gravitational-wave mode $(2,1)$ (constituting a 3.5PN correction in…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Quentin Henry , Guillaume Faye , Luc Blanchet

Spinorial formalism is used to map every electromagnetic wave into the gravitational wave (within the linearized gravity). In this way we can obtain the gravitational counterparts of Bessel, Laguerre-Gauss, and other light beams carrying…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Iwo Bialynicki-Birula , Zofia Bialynicka-Birula

Scattering events around the center of massive galaxies will occasionally toss a stellar-mass compact object into an orbit around the massive black hole at the center, beginning an extreme mass ratio inspiral. The early stages of such a…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Daniel J Oliver , Aaron D Johnson , Joel Berrier , Kostas Glampedakis , Daniel Kennefick

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

Gravitational waves potentially represent our only direct probe of the universe when it was less than one second old. In particular, first-order phase transitions in the early universe can generate a stochastic background of gravitational…

Astrophysics · Physics 2008-11-26 Tina Kahniashvili , Arthur Kosowsky , Grigol Gogoberidze , Yurii Maravin

In this paper, the emission of gravitational waves in quadratic gravity theory is examined. The wave equations for massless and massive perturbations are derived, followed by the calculation of the energy and angular momentum radiated. In…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Matheus F. S. Alves , R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

We numerically investigate the orbital dynamics of a spacecraft, or a comet, or an asteroid in the Pluto-Charon system in a scattering region around Charon using the planar circular restricted three-body problem. The test particle can move…

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

After the study of the three body molecular system H$_2^+$ ({\it J. Phys. B: At. Mol. Opt. Phys.} {\bf 45} 065101), its isotopomer, the deuterium molecular ion D$_2^+$ is studied. The three-body Schr\"odinger equation is solved using the…

Atomic Physics · Physics 2015-06-15 Horacio Olivares Pilón

The existence of a superfluid core in the interior of a rotating neutron star may have an influence on its gravitational wave emission. In addition to the usually-assumed pure quadrupole radiation with the gravitational wave frequency at…

General Relativity and Quantum Cosmology · Physics 2014-05-06 M. Bejger , A. Królak

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

We study the tensorial modes of the two-fluid model, where one of this fluids has an equation of state $p = - \rho/3$ (variable cosmological constant, cosmic string fluid, texture) or $p = - \rho$ (cosmological constant), while the other…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. C. Fabris , S. V. B. Goncalves
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