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Related papers: Mimicking Kerr's multipole moments

200 papers

The geometry around a rotating massive body, which carries charge and electrical currents, could be described by its multipole moments (mass moments, mass-current moments, electric moments, and magnetic moments). When a small body is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. P. Sotiriou , T. A. Apostolatos

We examine quantum corrections of time delay arising in the gravitational field of a spinning oblate source. Low-energy quantum effects occurring in Kerr geometry are derived within a framework where general relativity is fully seen as an…

The kinetic energy of a local system of objects placed in a curved spacetime is gained by the subsequent acceleration of the object following the more contracted region of spacetime. Normally this happens near massive gravitating stars.…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Eue Jin Jeong

When a massive quantum body is put into a spatial superposition, it is of interest to consider the quantum aspects of the gravitational field sourced by the body. We argue that in order to understand how the body may become entangled with…

Working in momentum space and at linear order in the gravitational coupling, we derive the most general class of energy-momentum tensors associated with a given multipolar structure of the spacetime in arbitrary dimensions, and built out of…

General Relativity and Quantum Cosmology · Physics 2025-04-10 Massimo Bianchi , Claudio Gambino , Paolo Pani , Fabio Riccioni

Multipole expansions depend on the coordinate system, so that coefficients of multipole moments can be set equal to zero by an appropriate choice of coordinates. Therefore, it is meaningless to say that a physical system has a nonvanishing…

Classical Physics · Physics 2009-11-13 Lior M. Burko

We discover multipole-mode solitons supported by the surface between two distinct periodic lattices imprinted in Kerr-type nonlinear media. Such solitons are possible because the refractive index modulation at both sides of the interface…

Optics · Physics 2009-11-11 Yaroslav V. Kartashov , Lluis Torner

In this comment we explain the discrepancies mentioned by the authors between their results and ours about the influence of the gravitational quadrupole moment in the perturbative calculation of corrections to the precession of the…

General Relativity and Quantum Cosmology · Physics 2011-02-02 L. Fernández-Jambrina

We define gravitational mass and current multipoles for five-dimensional, stationary, and asymptotically flat vacuum metrics. We do this by generalizing Thorne's asymptotically Cartesian and mass-centered (ACMC) coordinate formalism to five…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Jef Heynen , Daniel R. Mayerson

Dixon's multipoles for a system of N relativistic positive-energy scalar particles are evaluated in the rest-frame instant form of dynamics. The Wigner hyperplanes (intrinsic rest frame of the isolated system) turn out to be the natural…

High Energy Physics - Theory · Physics 2011-07-19 D. Alba , L. Lusanna , M. Pauri

We use a recent result by Cabezas et al. to build up an approximate solution to the gravitational field created by a rigidly rotating polytrope. We solve the linearized Einstein equations inside and outside the surface of zero pressure…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Martin , A. Molina , E. Ruiz

The electrovacuum around a rotating massive body with electric charge density is described by its multipole moments (mass moments, mass-current moments, electric moments, and magnetic moments). A small uncharged test particle orbiting…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Theocharis A. Apostolatos , Thomas P. Sotiriou

The multipole expansion is a key tool in the study of light-matter interactions. All the information about the radiation of and coupling to electromagnetic fields of a given charge-density distribution is condensed into few numbers: The…

Optics · Physics 2018-05-08 R. Alaee , C. Rockstuhl , I. Fernandez-Corbaton

Several other factors, besides the intrinsic local geometry, contribute to give a meaning to a space-time model. The simplest example comes from comparing Minkowski's and Milne's model, that both have a null Riemann tensor. We add to these…

General Relativity and Quantum Cosmology · Physics 2007-12-05 Ll. Bel

It is unlikely that uniqueness theorem holds for stationary black holes in higher dimensional spacetimes. However, we will examine the possibility that the higher multipole moments classify vacuum solutions uniquely. Especially, we compute…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Shinya Tomizawa , Yuki Uchida , Tetsuya Shiromizu

We analyze the applications of general relativity in relativistic astrophysics in order to solve the problem of describing the geometric and physical properties of the interior and exterior gravitational and electromagnetic fields of…

General Relativity and Quantum Cosmology · Physics 2016-06-21 Hernando Quevedo

The deviation from geodesic motion of the world line of an extended body endowed with multipolar structure up to the mass quadrupole moment is studied in the Kerr background according to the Mathisson-Papapetrou-Dixon model. The properties…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Donato Bini , Andrea Geralico

Using effective field theory techniques we calculate the source multipole moments needed to obtain the spin contributions to the power radiated in gravitational waves from inspiralling compact binaries to third Post-Newtonian order (3PN).…

General Relativity and Quantum Cosmology · Physics 2011-03-30 Rafael A. Porto , Andreas Ross , Ira Z. Rothstein

Previously the linearized stress tensor of a stationary Kerr black hole has been used to determine some of the values of gravitational couplings for a spinning black hole to linear order in the Riemann tensor in the action (worldline or…

General Relativity and Quantum Cosmology · Physics 2025-01-09 Trevor Scheopner , Justin Vines

We derive exact analytical solutions describing multi-soliton complexes and their interactions on top of a multi-component background in media with self-focusing or self-defocusing Kerr-like nonlinearities. These results are illustrated by…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Adrian Ankiewicz , Nail N. Akhmediev