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Relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source and their solutions are studied. The existence of certain relativistic critical tidal currents are thereby elucidated.…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Bahram Mashhoon

We investigate the motion of free relativistic particles relative to the ambient medium around a gravitationally collapsed system. If the relative speed exceeds a critical value given by c/sqrt(2), the gravitational tidal effects exhibit…

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

We study further a general relativistic mechanism for the acquisition of tidal energy by free test particles near a gravitationally collapsed configuration. Specifically, we investigate the solutions of timelike geodesic equation in a Fermi…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Mahmood Roshan , Bahram Mashhoon

General relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source described by the Kerr gravitational field. Specifically, observers that are spatially at rest in the exterior Kerr…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Carmen Chicone , Bahram Mashhoon

We consider the acceleration of energetic particles by a velocity shear in the relativistic background flow containing scattering centers. Three possible acceleration sites for astrophysical jets are identified: (1) gradual velocity shear…

Astrophysics · Physics 2009-11-10 Frank M. Rieger , Peter Duffy

The motion of free nearby test particles relative to a stable equatorial circular geodesic orbit about a Kerr source is investigated. It is shown that the nonlinear generalized Jacobi equation can be transformed in this case to an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 C. Chicone , B. Mashhoon

In the framework of a model based on the gravitational field of the Kerr black hole, we turn to investigate the kinematic behavior of extragalactic jets. We analytically calculate the observable velocities and accelerations along any…

General Relativity and Quantum Cosmology · Physics 2017-08-28 J. Gariel , N. O. Santos , Anzhong Wang

We consider the acceleration of particles due to a velocity shear in relativistic astrophysical flows. The basic physical picture and the formation of power law momentum spectra is discussed for a non-relativistic velocity field using a…

Astrophysics · Physics 2014-10-13 Frank M. Rieger , Peter Duffy

We point out novel consequences of general relativity involving tidal dynamics of ultrarelativistic relative motion. Specifically, we use the generalized Jacobi equation and its extension to study the force-free dynamics of relativistic…

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

In certain general relativistic time-dependent gravitational fields, free test particles can asymptotically line up relative to fiducial static observers and produce a cosmic jet whose speed approaches the speed of light. Two scenarios for…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Bahram Mashhoon

Imagine a swarm of free particles near a point P outside a gravitating mass M and a free reference particle at P that is on a radial escape trajectory away from M. Relative to this reference particle and in a Fermi normal coordinate system…

Astrophysics · Physics 2015-10-28 C. Chicone , B. Mashhoon

We develop a theory of particle acceleration inside relativistic rotating electron-positron force-free jets with spiral magnetic fields. We considered perturbation of the stationary magnetic field structure and found that acceleration takes…

Astrophysics · Physics 2009-11-07 A. R. Beresnyak , Ya. N. Istomin , V. I. Pariev

Relativistic jets, or highly collimated and fast-moving outflows, are endemic to many astrophysical phenomena. The jets produced by gamma-ray bursts and tidal disruption events are accompanied by the accretion of material onto a black hole…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Eric R. Coughlin , Mitchell C. Begelman

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

In this chapter, we review some features of particle acceleration in astrophysical jets. We begin by describing four observational results relating to the topic, with particular emphasis on jets in active galactic nuclei and parallels…

High Energy Astrophysical Phenomena · Physics 2020-11-11 James Matthews , Anthony Bell , Katherine Blundell

We review the acceleration of energetic particles in relativistic astrophysical jets characterized by a significant velocity shear. The possible formation of power-law momentum spectra is discussed and typical acceleration timescales are…

Astrophysics · Physics 2009-11-11 Frank M. Rieger , Peter Duffy

Relativistic jets in Galactic superluminals and extragalactic AGN may be surrounded by a wind near to the central engine. Theoretical analysis and numerical simulation reveal considerable stabilization of relativistic jet flow by a wind to…

Astrophysics · Physics 2009-11-07 Philip E. Hardee , Philip A. Hughes

Relativistic magnetized jets from active galaxies are among the most powerful cosmic accelerators, but their particle acceleration mechanisms remain a mystery. We present a new acceleration mechanism associated with the development of the…

High Energy Astrophysical Phenomena · Physics 2018-12-19 E. Paulo Alves , Jonathan Zrake , Frederico Fiuza

We present an analytical solution of a highly magnetized jet/wind flow. The left side of the general force-free jet/wind equation (the "pulsar" equation) is separated into a rotating and a nonrotating term. The two equations with either…

High Energy Astrophysical Phenomena · Physics 2021-01-15 Liang Chen , Bing Zhang

Collimated outflows (jets) appear to be a ubiquitous phenomenon associated with the accretion of material onto a compact object. Despite this ubiquity, many fundamental physics aspects of jets are still poorly understood and constrained.…

High Energy Astrophysical Phenomena · Physics 2017-02-15 Gustavo Romero , Markus Boettcher , Sera Markoff , Fabrizio Tavecchio
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