Browsing Department of Mathematics (MU) by Author "Chicone, Carmen Charles"
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Accelerationinduced nonlocality: kinetic memory versus dynamic memory
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 200110)The characteristics of the memory of accelerated motion in Minkowski spacetime are discussed within the framework of the nonlocal theory of accelerated observers. Two types of memory are distinguished: kinetic and dynamic. ... 
Accelerationinduced nonlocality: uniqueness of the kernel
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 200202)We consider the problem of uniqueness of the kernel in the nonlocal theory of accelerated observers. In a recent work, we showed that the convolution kernel is ruled out as it can lead to divergences for nonuniform accelerated ... 
Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 39974016 (1996)]
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (American Institute of Physics, 199609)Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 39974016 (1996)] 
The annular hull theorems for the kinematic dynamo operator for an ideally conducting fluid
Chicone, Carmen Charles; Latushkin, Yuri, 1956; MontgomerySmith, Stephen, 1963 (201101)The group generated by the kinematic dynamo operator in the space of continuous divergencefree sections of the tangent bundle of a smooth manifold is studied. As shown in previous work, if the underlying Eulerian flow is ... 
Chaos in the Hill system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (arXiv, 199912)We define the general Hill system and briefly analyze its dynamical behavior. A particular Hill system representing the interaction of a Keplerian binary system with a normally incident circularly polarized gravitational ... 
Chaos in the Kepler system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (American Institute of Physics, 199902)The longterm dynamical evolution of a Keplerian binary orbit due to the emission and absorption of gravitational radiation is investigated. This work extends our previous results on transient chaos in the planar case to ... 
Delay equations and radiation damping
Chicone, Carmen Charles; Kopeikin, Sergei M.; Mashhoon, Bahram; Retzloff, David (arXiv, 200105)Starting from delay equations that model field retardation effects, we study the origin of runawaymodes that appear in the solutions of the classical equations of motion involving the radiation reaction force. When retardation ... 
Dynamics of Relativistic Flows
Chicone, Carmen Charles; Mashhoon, Bahram; Punsly, Brian, 1956 (arXiv, 200405)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 ... 
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (American Institute of Physics, 199707)The method of averaging is used to investigate the phenomenon of capture into resonance for a model that describes a Keplerian binary system influenced by radiation damping and external normally incident periodic gravitational ... 
Explicit Fermi coordinates and tidal dynamics in de Sitter and Gödel spacetimes
Chicone, Carmen Charles; Mashhoon, Bahram (American Physical Society, 200609)Fermi coordinates are directly constructed in de Sitter and Gödel spacetimes and the corresponding exact coordinate transformations are given explicitly. The quasiinertial Fermi coordinates are then employed to discuss ... 
The generalized Jacobi equation
Chicone, Carmen Charles; Mashhoon, Bahram (American Institute of Physics, 200207)The Jacobi equation in pseudoRiemannian geometry determines the linearized geodesic flow. The linearization ignores the relative velocity of the geodesics. The generalized Jacobi equation takes the relative velocity into ... 
Gravitational induction
Bini, D. (Donato); Cherubini, Christian; Chicone, Carmen Charles; Mashhoon, Bahram (Institute of Physics, 200810)We study the linear postNewtonian approximation to general relativity known as gravitoelectromagnetism (GEM); in particular, we examine the similarities and differences between GEM and electrodynamics. Notwithstanding ... 
Gravitational ionization: a chaotic net in the Kepler system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (American Institute of Physics, 199703)The longterm nonlinear dynamics of a Keplerian binary system under the combined influences of gravitational radiation damping and external tidal perturbations is analysed. Gravitational radiation reaction leads the binary ... 
Gravitational ionization: periodic orbits of binary systems perturbed by gravitational radiation.
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (arXiv, 199508)The long term perturbation of a Newtonian binary system by an incident gravitational wave is discussed in connection with the issue of gravitational ionization. The periodic orbits of the planar tidal equation are investigated ... 
A Gravitational Mechanism for the Acceleration of Ultrarelativistic Particles
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 200503)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 ... 
Gravitomagnetic Accelerators
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 201005)We study a simple class of timedependent rotating Ricciflat cylindrically symmetric spacetime manifolds whose geodesics admit gravitomagnetic jets. The helical paths of free test particles in these jets up and down ... 
Gravitomagnetic Jets
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 201008)We present a family of dynamic rotating cylindrically symmetric Ricciflat gravitational fields whose geodesic motions have the structure of gravitomagnetic jets. These correspond to helical motions of free test particles ... 
Nonlocal modification of Newtonian gravity
Blome, HansJoachim; Chicone, Carmen Charles; Hehl, F. W. (Friedrich W.), 1937; Mashhoon, Bahram (American Physical Society, 201003)The Newtonian regime of a recent nonlocal extension of general relativity is investigated. Nonlocality is introduced via a scalar “constitutive” kernel in a special case of the translational gauge theory of gravitation, ... 
On the ionization of a Keplerian binary system by periodic gravitational radiation
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David (American Institute of Physics, 199605)The gravitational ionization of a Keplerian binary system via normally incident periodic gravitational radiation of definite helicity is discussed. The periodic orbits of the planar tidal equation are investigated on the ... 
Relativistic motion of spinning particles in a gravitational field
Chicone, Carmen Charles; Mashhoon, Bahram; Punsly, Brian, 1956 (arXiv, 200505)The relative motion of a classical relativistic spinning test particle is studied with respect to a nearby free test particle in the gravitational field of a rotating source. The effects of the spincurvature coupling force ...