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Related papers: The Motion of Test Bodies around Kerr Black Holes

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The dynamics of extended spinning bodies in the Kerr spacetime is investigated in the pole-dipole particle approximation and under the assumption that the spin-curvature force only slightly deviates the particle from a geodesic path. The…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico

This work discusses the motion of extended test bodies as described by the Mathisson-Papapetrou-Dixon (MPD) equations in the pole-dipole-quadrupole approximation. We focus on the case that the quadrupole is solely induced by the spin of the…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos

The motion of a stellar compact object around a supermassive black hole can be approximated by the motion of a spinning test particle. The equations of motion describing such systems are in general non-integrable, and therefore, chaotic…

General Relativity and Quantum Cosmology · Physics 2019-03-06 Georgios Lukes-Gerakopoulos

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

We discuss the effects of the black holes' spin-multipole structure in the orbital dynamics of binary black holes according to general relativity, focusing on the leading-post-Newtonian-order couplings at each order in an expansion in the…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Justin Vines , Jan Steinhoff

In this article we study the geodesic motion of test particles and light in the five-dimensional (rotating) black string spacetime. If a compact dimension is added to the four-dimensional Schwarzschild or Kerr spacetime, the new…

General Relativity and Quantum Cosmology · Physics 2013-11-20 Saskia Grunau , Bhavesh Khamesra

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular,…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. Gariel , N. O. Santos , Anzhong Wang

Compact objects inspiraling into supermassive black holes, known as extreme-mass-ratio inspirals, are an important source for future space-borne gravitational-wave detectors. When constructing waveform templates, usually the adiabatic…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Chen Zhang , Wen-Biao Han , Xing-Yu Zhong , Gang Wang

We present a new approximate method for constructing gravitational radiation driven inspirals of test-bodies orbiting Kerr black holes. Such orbits can be fully described by a semi-latus rectum $p$, an eccentricity $e$, and an inclination…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Scott A. Hughes , Daniel Kennefick

The worldline of a spinning test body moving in curved spacetime can be provided by the Mathisson-Papapetrou-Dixon (MPD) equations when its centroid, i.e. its center of mass, is fixed by a Spin Supplementary Condition (SSC). In the present…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Iason Timogiannis , Georgios Lukes-Gerakopoulos , Theocharis A. Apostolatos

The orbital motion is derived for a non-spinning test-mass in the relativistic, gravitational field of a rotationally deformed body not restricted to the equatorial plane or spherical orbit. The gravitational field of the central body is…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Steven Hergt , Abhay Shah , Gerhard Schäfer

According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric spacetimes which deviate from the Kerr metric have been proposed in…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Tim Johannsen

The no-hair theorem can be tested in the strong gravity regime by using the top-bottom approach and the bottom-top approach. The non-Kerr spacetime of the later approach is an ideal framework to do the tests in the region very close to the…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Usman A. Gillani , Rehana Rahim , Khalid Saifullah

The construction of equilibrium models of accretion disks around compact objects has become a highly relevant topic in the recent times, thanks to the current understanding that indicates a direct relationship between these objects with the…

General Relativity and Quantum Cosmology · Physics 2025-06-25 Sergio Gimeno-Soler , Sayantani Lahiri , Claus Lämmerzahl

We establish the existence of a deformation of the usual Carter constant which is conserved along the motion in a fixed Kerr background of a spinning test body possessing the spin-induced quadrupole coupling of a black hole. The…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Geoffrey Compère , Adrien Druart , Justin Vines

In a recent paper (Phys. Dark Univ. {\bf 31}, 100744 (2021)) it has been obtained new static black hole solutions with primary hairs by the Gravitational Decoupling. In this work we either study the geodesic motion of massive and massless…

General Relativity and Quantum Cosmology · Physics 2021-07-14 A. Ramos , C. Arias , R. Ávalos , E. Contreras

We consider the motion of charged and spinning bodies on the symmetry axis of a non-extremal Kerr-Newman black hole. If one treats the body as a test point particle of mass, $m$, charge $q$, and spin $S$, then by dropping the body into the…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Kristian Mackewicz , Robert M. Wald

According to the asymptotically safe gravity, black holes may have characteristics different from those described according to general relativity if the running of the gravitational constant coupling happens at low energies. Particularly,…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Luigi Foschini , Alberto Vecchiato , Alfio Bonanno

We study the motion of spinning test particles in Kerr spacetime using the Mathisson-Papapetrou equations; we impose different supplementary conditions among the well known Corinaldesi-Papapetrou, Pirani and Tulczyjew's and analyze their…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Donato Bini , Fernando de Felice , Andrea Geralico

The circular motion of spinning massive test particles in the equatorial plane of a rotating black hole is investigated in the case in which the components of the spin tensor are allowed to vary along the orbit.

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Fernando de Felice , Andrea Geralico , Robert T. Jantzen