58 research outputs found
Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates
Fermi coordinates are the natural generalization of inertial Cartesian
coordinates to accelerated systems and gravitational fields. We study the
motion of ultrarelativistic particles and light rays in Fermi coordinates and
investigate inertial and tidal effects beyond the critical speed c/sqrt(2). In
particular, we discuss the black-hole tidal acceleration mechanism for
ultrarelativistic particles in connection with a possible origin for
high-energy cosmic rays.Comment: 13 pages, 3 figures, slightly expanded version accepted for
publication in Class. Quantum Gra
Gravitomagnetic Accelerators
We study a simple class of time-dependent rotating Ricci-flat cylindrically
symmetric spacetime manifolds whose geodesics admit gravitomagnetic jets. The
helical paths of free test particles in these jets up and down parallel to the
rotation axis are analogous to those of charged particles in a magnetic field.
The jets are attractors. The jet speed asymptotically approaches the speed of
light. In effect, such source-free spacetime regions act as "gravitomagnetic
accelerators".Comment: 4 pages, 2 figures; v2: reference added; v3: slightly expanded
version accepted for publication in Phys. Lett.
Acceleration-Induced Nonlocality: Uniqueness of the Kernel
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 motion.
Here we determine the general form of bounded continuous kernels and use
observational data regarding spin-rotation coupling to argue that the kinetic
kernel given by is the only physically acceptable
solution.Comment: LaTeX file, 2 figures, 14 page
On the Ionization of a Keplerian Binary System by Periodic Gravitational Radiation
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 basis
of degenerate continuation theory. The relevance of the Kolmogorov-Arnold-Moser
theory to the question of gravitational ionization is elucidated, and it is
conjectured that the process of ionization is closely related to the Arnold
diffusion of the perturbed system.Comment: 19 pages, REVTEX Style, To appear in JM
Gravitational Ionization: Periodic Orbits of Binary Systems Perturbed by Gravitational Radiation
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
and the conditions for their existence are presented. The possibility of
ionization of a Keplerian orbit via gravitational radiation is discussed.Comment: ps file, 35 page
Tidal Dynamics in Kerr Spacetime
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
autonomous form. Tidal dynamics beyond the critical speed c/sqrt(2) is studied.
We show, in particular, that a free test particle vertically launched from the
circular orbit parallel or antiparallel to the Kerr rotation axis is tidally
accelerated if its initial relative speed exceeds c/sqrt(2). Possible
applications of our results to high-energy astrophysics are briefly mentioned.Comment: 15 pages, 3 figures; v2: slightly expanded version accepted for
publication in CQ
Chaos in the Hill system
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 wave is
discussed in detail. In this case, we compute the Poincar\'e-Melnikov function
explicitly and determine its zeros. Moreover, we provide numerical evidence in
favor of chaos in this system. The partially averaged equations for the Hill
system are used to predict the regular behavior of the Keplerian orbit at
resonance with the external radiation.Comment: 35 pages, 6 figure
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