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We derive the secular evolution of the orbital elements of a stellar-mass object orbiting a spinning massive black hole. We use the post-Newtonian approximation in harmonic coordinates, with test-body equations of motion for the…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Clifford M. Will , Matthew Maitra

We derive the new quasi-classical equation for the description of the spin evolution of a neutrino propagating in a curved space-time and interacting with a background matter and an external electromagnetic field. This equation is used to…

High Energy Physics - Phenomenology · Physics 2013-06-17 Maxim Dvornikov

We analyze motion of massless and massive particles around black holes immersed in an asymptotically uniform magnetic field and surrounded by some mechanical structure, which provides the magnetic field. The space-time is described by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 R. A. Konoplya

The electromagnetic field near a rotating black hole is being explored in educational style here. By employing analytic solutions for electrovacuum fields, we plot the surfaces of constant flux and we show how the field is dragged around…

Astrophysics · Physics 2007-05-23 Z. Budinova , M. Dovciak , V. Karas , A. Lanza

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 present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Thibault Damour

We study the classical dynamics of black holes during a nonsingular cosmological bounce. Taking a simple model of a nonsingular bouncing cosmology driven by the combination of a ghost and ordinary scalar field, we use nonlinear evolutions…

General Relativity and Quantum Cosmology · Physics 2022-10-03 Maxence Corman , William E. East , Justin L. Ripley

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric Poisson

In the present article, we study the orbital resonance corresponds to an extended object approximated up to the dipole order term in Kerr spacetime. We start with the Mathisson-Papapetrou equations under the linear spin approximation and…

General Relativity and Quantum Cosmology · Physics 2020-07-14 Sajal Mukherjee , Santanu Tripathy

The motion of spinning massless particles in gravitationally curved backgrounds is revisited by considering new types of constraints. Those constraints guarantee zero mass ($P_\mu P^\mu=0$) and they allow for the possibility of trajectories…

General Relativity and Quantum Cosmology · Physics 2016-07-06 Cristóbal Armaza , Sergio A. Hojman , Benjamin Koch , Nicolás Zalaquett

Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Yasushi Mino , Jeandrew Brink

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH)…

General Relativity and Quantum Cosmology · Physics 2023-02-24 Jose Miguel Ladino , Eduard Larrañaga

We study the orbits of a spinning particle in the Reissner-Nordstr\"om black hole exterior through the spin-curvature coupling to leading order in its spin. The dynamics is governed by the Mathisson-Papapetrou equations in the pole-dipole…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Siang-Yao Ciou , Tien Hsieh , Da-Shin Lee

We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincar\'{e} section, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction, we present the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Deshui Cao , Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing

General relativity predicts that a rotating black hole drags the spacetime due to its spin. This effect can influence the motion of nearby objects, causing them to either fall into the black hole or orbit around it. In classical Newtonian…

General Relativity and Quantum Cosmology · Physics 2025-02-13 Mohammad Ali S. Afshar , Jafar Sadeghi

Using the Teukolsky and Sasaki-Nakamura formalisms for the perterbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a {\it spinning} particle of mass $\mu$ and spin $S$ moving in circular orbits…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Takahiro Tanaka , Yasushi Mino , Misao Sasaki , Masaru Shibata

A non-monotonic behavior of the velocity gradient of a test particle revolving around a rapidly rotating black hole in the locally non-rotating frame of reference is known as the Aschenbach effect. This effect can serve as a distinguishing…

General Relativity and Quantum Cosmology · Physics 2021-04-21 Ali Vahedi , Jafar Khodagholizadeh , Arman Tursunov

The effects of a paritcle's spin and electric charge on its angular momentum, energy and radius on the innermost stable circular orbit are investigated based on the particle's equations of motion in a background of the Kerr-Newmann…

General Relativity and Quantum Cosmology · Physics 2019-01-07 Ming Zhang , Wen-Biao Liu

We consider a time-like geodesics in the background of rotating Einstein-Born-Infeld (EBI) black hole to examine the horizon and ergosphere structure. The effective potential that governs the particle's motion in the spacetime and the…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Gulmina Zaman Babar , Farruh Atamurotov , Shafqat Ul Islam , Sushant G. Ghosh