Browsing Mathematics publications (MU) by Subject "Relativity (Physics)"
Now showing items 18 of 8

Accelerationinduced nonlocality: kinetic memory versus dynamic memory
(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
(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 ... 
Chaos in the Kepler system
(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 ... 
Dynamics of Relativistic Flows
(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 ... 
Gravitational ionization: a chaotic net in the Kepler system
(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 ... 
Relativistic motion of spinning particles in a gravitational field
(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 ... 
Sustained resonance: a binary system perturbed by gravitational radiation
(American Institute of Physics, 200001)The general phenomena associated with sustained resonance are studied in this paper in connection with relativistic binary pulsars. We represent such a system by two point masses in a Keplerian binary system that evolves ... 
Tidal dynamics in Kerr spacetime
(Institute of Physics, 200605)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 ...