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Related papers: Relativistic Tidal Accelerations in the Exterior S…

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We carry out a general relativistic study of radiatively driven, conical fluid jets around non-rotating black holes and investigate the effects and significance of radiative acceleration, as well as radiation drag. We apply relativistic…

High Energy Astrophysical Phenomena · Physics 2018-06-13 Mukesh K. Vyas , Indranil Chattopadhyay

Observations suggest that relativistic particles play a fundamental role in the dynamics of jets emerging from active galactic nuclei as well as in their interaction with the intracluster medium. However, no general consensus exists…

High Energy Astrophysical Phenomena · Physics 2015-06-11 J. A. de Freitas Pacheco , J. Gariel , G. Marcilhacy , N. O. Santos

Propagation of relativistic particles in the Schwarzschild gravitational field is studied. Particles emitted radially outward with speed at infinity exceeding c/2^0.5 are observed to be accelerated in the gravitational field by a distant…

Earth and Planetary Astrophysics · Physics 2014-11-20 Marek Kutschera , Wieslaw Zajiczek

In this paper, we studied the geodesics of timelike and null like particles near an improved Schwarzschild black hole. The lapse function has been plotted and was found that only one horizon is possible. The equation of motion and effective…

General Relativity and Quantum Cosmology · Physics 2023-11-01 Surajit Mandal

The response of astrophysical compact objects to external tidal fields carries valuable information on the nature of these objects, on the equation of state of matter, and on the underlying gravitational theory. In this work, we highlight…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Takuya Katagiri , Kent Yagi , Vitor Cardoso

Spherically symmetric hydrodynamical outflows accelerated thermally in the vicinity of a compact object are studied by generalizing an equation of state with a variable effective polytropic index, appropriate to describe relativistic…

Astrophysics · Physics 2009-11-10 Z. Meliani , C. Sauty , K. Tsinganos , N. Vlahakis

The geodesic deviation equation, describing the relative accelerations of nearby particles, and the Raychaudhury equation, giving the evolution of the kinematical quantities associated with deformations (expansion, shear and rotation) are…

General Relativity and Quantum Cosmology · Physics 2012-12-20 Tiberiu Harko , Francisco S. N. Lobo

A relativistic self-gravitating equilibrium system with steady flow as well as spherical symmetry is discovered. The energy-momentum tensor contains the contribution of a current related to the flow and the metric tensor does an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Shuichi Yokoyama

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio corrections to the quadratic and cubic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Donato Bini , Andrea Geralico

In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the…

General Physics · Physics 2016-11-23 Abdul Jawad , Farhad Ali , M. Umair Shahzad , G. Abbas

In this paper we analyze the spacetime geometry due to a Schwarzschild object having uniform accelerated motion. In the beginning, we investigate the gravitational field due to a uniformly moving Schwarzschild object and obtain the…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Ranchhaigiri Brahma , A. K. Sen

We present a method to integrate the equations of motion that govern bound, accelerated orbits in Schwarzschild spacetime. At each instant the true worldline is assumed to lie tangent to a reference geodesic, called an osculating orbit,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Adam Pound , Eric Poisson

Gravitational repulsion is an inherent aspect of the Schwarzschild solution of the Einstein-Hilbert field equations of general relativity. We show that this circumstance means that it is possible to gravitationally accelerate particles to…

High Energy Astrophysical Phenomena · Physics 2018-02-26 Charles H. McGruder

In this work, we compute the metric corresponding to a static and spherically symmetric mass distribution in the general relativistic weak field approximation to quadratic order in Fermi-normal coordinates surrounding a radial geodesic. To…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Antonio C. Gutiérrez-Piñeres

This paper investigates tidal forces in multidimensional spherically symmetric spacetimes. We consider geodesic deviation equation in Schwarzschild-Tangherlini metric and its electrically charged analog. It was shown that for radial…

General Relativity and Quantum Cosmology · Physics 2023-01-09 V. P. Vandeev , A. N. Semenova

Dynamics of relativistic outflows along the rotation axis of a Kerr black hole is investigated using a simple model that takes into account the relativistic tidal force of the central source as well as the Lorentz force due to the…

Astrophysics · Physics 2009-11-10 C. Chicone , B. Mashhoon , B. Punsly

We develop a fully relativistic approach for determining the response of a compact star to a time/frequency dependent (tidal) environment. The strategy involves matching the solution for the linearised fluid dynamics in the star's interior…

General Relativity and Quantum Cosmology · Physics 2026-03-25 Nils Andersson , Rhys Counsell , Fabian Gittins , Suprovo Ghosh

The expansion of space, and other geometric properties of cosmological models, can be studied using geometrically defined notions of relative velocity. In this paper, we consider test particles undergoing radial motion relative to comoving…

General Relativity and Quantum Cosmology · Physics 2012-10-12 Vicente J. Bolós , David Klein

This paper investigates the various spherically symmetric wormhole solutions in the presence of tidal forces and applies numerous methods, such as test particle orbital dynamics, ray-tracing and microlensing. We make the theoretical…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Oleksii Sokoliuk , Subhrat Praharaj , Alexander Baransky , P. K. Sahoo

We derive general relativistic Gaussian equations for osculating elements for orbits under the influence of a perturbing force without any restrictions in an underlying Schwarzschild space-time. Such a formulation provides a way to describe…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Oleksii Yanchyshen , Eva Hackmann , Claus Lämmerzahl