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The mass-type quadrupole moment of inspiralling compact binaries (without spins) is computed at the fourth post-Newtonian (4PN) approximation of general relativity. The multipole moments are defined by matching between the field in the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Tanguy Marchand , Quentin Henry , François Larrouturou , Sylvain Marsat , Guillaume Faye , Luc Blanchet

Context. Various simplified models have been investigated to understand the complex dynamical environment near irregular asteroids. We propose a generalized dipole-segment model (GDSM) to describe the gravitational fields of elongated…

Earth and Planetary Astrophysics · Physics 2026-03-03 A. K. de Almeida , A. F. S. Ferreira , L. B. T. Santos , F. Monteiro , A. Amarante , E. Tresaco , D. M. Sanchez , C. Gomes , A. F. B. A. Prado

We study the motion of test particles around a center of attraction represented by a monopole (with and without spheroidal deformation) surrounded by a ring, given as a superposition of Morgan & Morgan discs. We deal with two kinds of…

Earth and Planetary Astrophysics · Physics 2012-09-24 Javier Ramos-Caro , Juan F. Pedraza , Patricio S. Letelier

We investigate the point-particle limit of the equations of motion valid for a system of extended bodies in a scalar alternative theory of gravitation: the size of one of the bodies being a small parameter xi, we calculate the limit, as xi…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

The present paper aims at elaborating a completely physical representation for the general 4-parameter family of the extended double-Kerr spacetimes describing two spinning sources in gravitational equilibrium. This involved problem is…

General Relativity and Quantum Cosmology · Physics 2015-11-11 V. S. Manko , E. Ruiz

We derive the equations of motion of test bodies for a theory with nonminimal coupling by means of a multipole method. The propagation equations for pole-dipole particles are worked out for a gravity theory with a very general coupling…

Astrophysics · Physics 2008-12-30 Dirk Puetzfeld , Yuri N. Obukhov

The correlated motion of a positron surrounded by electrons is a fundamental many-body problem. We approach this by modeling the momentum density of annihilating electron-positron pairs using the framework of reduced density matrices,…

Strongly Correlated Electrons · Physics 2014-01-13 Ilja Makkonen , Mikko M. Ervasti , Topi Siro , Ari Harju

We consider the motion of point masses given by a natural extension of Newtonian gravitation to spaces of constant positive curvature. Our goal is to explore the spectral stability of tetrahedral orbits of the corresponding 4-body problem…

Dynamical Systems · Mathematics 2016-03-11 Florin Diacu , Regina Martinez , Ernesto Perez-Chavela , Carles Simo

The motion of spinning test particles around a traversable wormhole is investigated using the Mathisson Papapetrous Dixon equations, which couple the Riemann tensor with the antisymmetric tensor $S^{ab}$, related to the spin of the…

General Relativity and Quantum Cosmology · Physics 2021-10-13 Carlos A. Benavides-Gallego , Wen-Biao Han , Daniele Malafarina , Bobomurat Ahmedov , Ahmadjon Abdujabbarov

We investigate the three-dimensional motion of a test particle in the gravitational field generated by a non-spherical compact object endowed with a mass quadrupole moment, described by the Erez-Rosen metric, and a radiation field,…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Vittorio De Falco , Pavel Bakala , Maurizio Falanga

We deal with the effects induced on the orbit of a test particle revolving around a central body by putative spatial variations of fundamental coupling constants $\zeta$. In particular, we assume a dipole gradient for $\zeta(\bds…

General Relativity and Quantum Cosmology · Physics 2011-10-24 Lorenzo Iorio

The increasing number and variety of extrasolar planets illustrates the importance of characterizing planetary perturbations. Planetary orbits are typically described by physically intuitive orbital elements. Here, we explicitly express the…

Earth and Planetary Astrophysics · Physics 2015-06-11 Dimitri Veras , N. Wyn Evans

Self-gravitating bodies can have an arbitrarily complex shape, which implies a much richer multipolar structure than that of a black hole in General Relativity. With this motivation, we study the corrections to the dynamics of a binary…

General Relativity and Quantum Cosmology · Physics 2022-06-28 Nicholas Loutrel , Richard Brito , Andrea Maselli , Paolo Pani

Spider millisecond pulsars are, along with some eclipsing post-common envelope systems and cataclysmic variables, part of an expanding category of compact binaries with low-mass companions for which puzzling timing anomalies have been…

High Energy Astrophysical Phenomena · Physics 2019-12-10 Guillaume Voisin , René Breton , Charlotte Summers

This work presents, the first time, analytic solutions for the nearly equatorial, plunging motion of a spinning test-particle in Kerr spacetime. The equations of motion are solved at first-order in the small-body spin for all classes of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Gabriel Andres Piovano

We consider (1+4) generalization of classical electrodynamics including gravitation field. With this approach it is assumed a presence of an extra component of extended field stress tensor, whose physical interpretation is based on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. Yu. Tsipenyuk , W. B. Belayev

The dynamics of compact binary systems at the fourth post-Newtonian (4PN) approximation of general relativity has been recently completed in a self-consistent way. In this paper, we compute the ten Poincar\'e constants of the motion and…

General Relativity and Quantum Cosmology · Physics 2018-03-20 Laura Bernard , Luc Blanchet , Guillaume Faye , Tanguy Marchand

Multipole electron modes beyond the Mie plasmon in atomic clusters are investigated within the time-dependent local density approximation theory (TDLDA). We consider the origin of the modes, their connection with basic cluster properties…

Atomic and Molecular Clusters · Physics 2014-02-04 V. O. Nesterenko , P. -G. Reinhard , W. Kleinig

We report our theoretical results on the order parameters for the pyrochlore metal Cd$_2$Re$_2$O$_7$, which undergoes enigmatic phase transitions with inversion symmetry breaking. By carefully examining active electronic degrees of freedom…

Strongly Correlated Electrons · Physics 2019-04-17 Satoru Hayami , Yuki Yanagi , Hiroaki Kusunose , Yukitoshi Motome

All multipole moments of a Kerr black hole are uniquely determined by its mass and spin. Gravitational wave observations can test this prediction by measuring spin-induced multipole moments imprinted on the inspiral phase of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Rimo Das , N. V. Krishnendu , M. Saleem , Chandra Kant Mishra , K. G. Arun