Browsing by Author/Contributor "Mashhoon, Bahram"
Now showing items 1-20 of 102
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Acceleration-induced nonlocal electrodynamics in Minkowski spacetime
Muench, Uwe, 1970-; Hehl, F. W. (Friedrich W.), 1937-; Mashhoon, Bahram (arXiv, 2000)We discuss two nonlocal models of electrodynamics in which the nonlocality is induced by the acceleration of the observer. Such an observer actually measures an electromagnetic field that exhibits persistent memory effects. ... -
Acceleration-Induced Nonlocality
Mashhoon, Bahram (arXiv, 2003)The standard relativistic theory of accelerated reference frames in Minkowski spacetime is described. The measurements of accelerated observers are considered and the limitations of the standard theory, based on the ... -
Acceleration-induced nonlocality: kinetic memory versus dynamic memory
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 2001)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. ... -
Acceleration-induced nonlocality: uniqueness of the kernel
Chicone, Carmen Charles; Mashhoon, Bahram (arXiv, 2002)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, 3997-4016 (1996)]
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1996)Addendum: On the ionization of a Keplerian binary system by periodic gravitational radiation [J. Math. Phys. 37, 3997-4016 (1996)] -
An alternative derivation of the gravitomagnetic clock effect
Iorio, Lorenzo; Lichtenegger, Herbert; Mashhoon, Bahram (American Institute of Physics, 2001)The possibility of detecting the gravitomagnetic clock effect using artificial Earth satellites provides the incentive to develop a more intuitive approach to its derivation. We first consider two test electric charges ... -
Beyond Gravitoelectromagnetism: Critical Speed in Gravitational Motion
Mashhoon, Bahram (arXiv, 2005)A null ray approaching a distant astronomical source appears to slow down, while a massive particle speeds up in accordance with Newtonian gravitation. The integration of these apparently incompatible aspects of motion in ... -
Chaos in the Hill system
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (arXiv, 1999)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 G. (American Institute of Physics, 1999)The long-term 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 ... -
Circular holonomy and clock effects in stationary axisymmetric spacetimes
Bini, D. (Donato); Jantzen, Robert T.; Mashhoon, Bahram (American Institute of Physics, 2001)Stationary axisymmetric spacetimes containing a pair of oppositely rotating periodically intersecting circular geodesics allow us to study the various so-called 'clock effects' by comparing either observer or geodesic ... -
Cosmological perturbations: a new gauge-invariant approach
Kopeikin, Sergei M.; Ramirez, Juan; Mashhoon, Bahram; Sazhin, Mikhail V. (arXiv, 2001)A new gauge-invariant approach for describing cosmological perturbations is developed. It is based on a physically motivated splitting of the stress-energy tensor of the perturbation into two parts - the bare perturbation ... -
Decaying dark energy in higher-dimensional gravity
Overduin, James M.; Wesson, Paul S.; Mashhoon, Bahram (EDP Sciences, 2007)Aims. We use data from observational cosmology to put constraints on higher-dimensional extensions of general relativity in which the effective four-dimensional dark-energy density (or cosmological “constant”) decays with ... -
Delay equations and radiation damping
Chicone, Carmen Charles; Kopeikin, Sergei M.; Mashhoon, Bahram; Retzloff, David G. (arXiv, 2001)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 ... -
Detection of the gravitomagnetic field using an orbiting superconducting gravity gradiometer. Theoretical principles
Mashhoon, Bahram; Paik, Ho Jung; Will, Clifford M., 1946- (American Physical Society, 1989)The angular momentum of the Earth produces gravitomagnetic components of the Riemann curvature tensor, which are of the order of 10-10 of the Newtonian tidal terms arising from the mass of the Earth. These components could ... -
Dynamics of extended spinning masses in a gravitational field
Mashhoon, Bahram; Singh, Dinesh (American Physical Society, 2006)We develop a first-order approximation method for the influence of spin on the motion of extended spinning test masses in a gravitational field. This approach is illustrated for approximately circular equatorial motion in ... -
Dynamics of Relativistic Flows
Chicone, Carmen Charles; Mashhoon, Bahram; Punsly, Brian, 1956- (arXiv, 2004)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 ... -
Electromagnetic waves in a rotating frame of reference
Hauck, John C.; Mashhoon, Bahram (arXiv, 2003)We discuss the electromagnetic measurements of rotating observers and study the propagation of electromagnetic waves in a uniformly rotating frame of reference. The phenomenon of helicity-rotation coupling is elucidated ... -
An Embedding for General Relativity and its Implications for New Physics
Wesson, Paul S.; Mashhoon, Bahram (arXiv, 2007)We show that any solution of the 4D Einstein equations of general relativity in vacuum with a cosmological constant may be embedded in a solution of the 5D Ricci-flat equations with an effective 4D cosmological "constant" ... -
Evolutionary dynamics while trapped in resonance: a Keplerian binary system perturbed by gravitational radiation
Chicone, Carmen Charles; Mashhoon, Bahram; Retzloff, David G. (American Institute of Physics, 1997)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, 2006)Fermi coordinates are directly constructed in de Sitter and Gödel spacetimes and the corresponding exact coordinate transformations are given explicitly. The quasi-inertial Fermi coordinates are then employed to discuss ...