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Motivated by the picture of a thin accretion disc around a black hole, radiating mainly in the direction perpendicular to its plane, we study the motion of test particles interacting with a test geodesic radiation flux originating in the…

High Energy Astrophysical Phenomena · Physics 2014-12-19 Donato Bini , Andrea Geralico , Robert T. Jantzen , Oldrich Semerak

The force acting on a test particle moving around a body that is gravitating and emitting electromagnetic radiation at the same time is computed up to the second order in $1/c$, and the shift of perihelion is found. The total shift is…

Astrophysics · Physics 2007-05-23 V. Balek , J. Klacka

We analytically compute the orbital effects induced on the motion of a spinning particle geodesically traveling around a central rotating body by the general relativistic two-body spin-spin and spin-orbit interactions. We use the weak-field…

General Relativity and Quantum Cosmology · Physics 2012-03-13 Lorenzo Iorio

We study trajectories of test particles around a luminous, static, spherically symmetric neutron star, under the combined influence of gravity and radiation. In general relativity, for Schwarzschild spacetime, an equilibrium sphere (the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Ronaldo S. S. Vieira , Maciek Wielgus

Within the context of Newton's theory of gravitation, restricted to point-like test particles and central bodies, stable circular orbits in ordinary space are related to stable circular paths on a massless, unmovable, undeformable…

Classical Physics · Physics 2017-08-02 R. Caimmi

We consider the motion of uncharged dust grains of arbitrary shape including the effects of electromagnetic radiation and thermal emission. The resulting relativistically covariant equation of motion is expressed in terms of standard…

Astrophysics · Physics 2007-05-23 Jozef Klacka

We investigate the stability of motion close to the Lagrangian equilibrium points L4 and L5 in the framework of the spatial, elliptic, restricted three- body problem, subject to the radial component of Poynting-Robertson drag. For this…

Earth and Planetary Astrophysics · Physics 2015-06-23 Christoph Lhotka , Alessandra Celletti

A theoretical framework for emission originating from rapidly rotating oblate compact objects is described in detail. By using a Hamilton-Jacobi formalism, we show how the special relativistic rotational effects such as aberration of…

High Energy Astrophysical Phenomena · Physics 2018-07-18 Joonas Nättilä , Pauli Pihajoki

Relativistically covariant form of equation of motion for arbitrarily shaped dust particle (neutral in charge) under the action of electromagnetic radiation is derived -- emission, scattering and absorption of radiation is considered. The…

Astrophysics · Physics 2007-05-23 Jozef Klacka

Some strong field effects on test particle motion associated with the propagation of a plane electromagnetic wave in the exact theory of general relativity are investigated. Two different profiles of the associated radiation flux are…

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

We derive the equations of motion of a test particle with intrinsic hypermomentum in spacetimes with both torsion $S$ and nonmetricity $Q$ (along with curvature $R$). Accordingly, $S$ and $Q$ can be measured by tracing out the trajectory…

General Relativity and Quantum Cosmology · Physics 2023-10-25 Danianos Iosifidis , Friedrich W. Hehl

The gravitational field of a static body with quadrupole moment is described by an exact solution found by Erez and Rosen. Here we investigate the role of the quadrupole in the motion, deflection and lensing of a light ray in the above…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Mariateresa Crosta , Fernando de Felice , Andrea Geralico , Alberto Vecchiato

We present a derivation of the equation of motion for a test-particle in the framework of the nonsymmetric gravitational theory. Three possible couplings of the test-particle to the non-symmetric gravitational field are explored. The…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. Legare , J. W. Moffat

As a sequel to our recent works challenging toward the systematic inclusion of the effect of radiation on the trajectory of a test particle orbiting around a luminous spinning relativistic star eventually aiming at its application to the…

High Energy Astrophysical Phenomena · Physics 2010-11-16 Jae Sok Oh , Hongsu Kim , Hyung Mok Lee

The exact solution to the Einstein equations that represents a static axially symmetric source deformed by an internal quadrupole is considered. By using the Poincare section method we numerically study the geodesic motion of test…

Astrophysics · Physics 2007-05-23 Eduardo Gueron , Patricio S. Letelier

We study non-geodesic corrections to the quasicircular motion of charged test particles in the field of magnetized slowly rotating neutron stars. The gravitational field is approximated by the Lense-Thirring geometry, the magnetic field is…

High Energy Astrophysical Phenomena · Physics 2015-06-12 Pavel Bakala , Martin Urbanec , Eva Sramkova , Zdenek Stuchlik , Gabriel Torok

A new strategy in deriving the Lense-Thirring effect, in the weak field and slow motion approximation of general relativity, on the orbital elements of a test body in the field of different central rotating sources exhibiting axial symmetry…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

We investigate the influence of the quadrupole moment of a rotating source on the motion of a test particle in the strong field regime. For this purpose the Hartle-Thorne metric, that is an approximate solution of vacuum Einstein field…

General Relativity and Quantum Cosmology · Physics 2013-06-21 Donato Bini , Kuantay Boshkayev , Remo Ruffini , Ivan Siutsou

We derive the complete set of geodesic equations for massive and massless test particles of a five-dimensional, charged, rotating black hole solution of the Einstein-Maxwell-Chern-Simons field equations in five-dimensional minimal gauged…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Stephan Reimers , Shruti Paranjape

We study a general relativistic gravitomagnetic 3-body effect induced by the spin angular momentum ${\boldsymbol S}_\textrm{X}$ of a rotating mass $M_\textrm{X}$ orbited at distance $r_\textrm{X}$ by a local gravitationally bound restricted…

General Relativity and Quantum Cosmology · Physics 2019-06-18 Lorenzo Iorio