56 research outputs found
Chaotic Emission from Electromagnetic Systems Considering Self-Interaction
The emission of electromagnetic waves from a system described by the
H\'enon-Heiles potential is studied in this work. The main aim being to analyze
the behavior of the system when the damping term is included explicitly into
the equations of motion. Energy losses at the chaotic regime and at the regular
regime are compared. The results obtained here are similar to the case of
gravitational waves emission, as long we consider only the energy loss. The
main difference being that in the present work the energy emitted is explicitly
calculated solving the equation of motion without further approximations. It is
expected that the present analysis may be useful when studying the analogous
problem of dissipation in gravitational systems.Comment: Typos in Refs. corrected. Other minor change
Quasinormal modes of plane-symmetric black holes according to the AdS/CFT correspondence
The electromagnetic and gravitational quasinormal spectra of
-dimensional plane-symmetric anti-de Sitter black holes are analyzed in
the context of the AdS/CFT correspondence. According to such a correspondence,
the electromagnetic and gravitational quasinormal frequencies of these black
holes are associated respectively to the poles of retarded correlation
functions of -symmetry currents and stress-energy tensor in the
holographically dual conformal field theory: the -dimensional
super-Yang-Mills theory. The connection between AdS black holes
and the corresponding field theory is used to unambiguously fix the boundary
conditions that enter the proper definition of quasinormal modes. Such a
procedure also helps one to decide, among the various different possibilities,
what are the appropriate gauge-invariant quantities one should use in order to
correctly describe the electromagnetic and gravitational blackhole
perturbations. These choices imply in different dispersion relations for the
quasinormal modes when compared to some of the results in the literature. In
particular, the long-distance, low-frequency limit of dispersion relations
presents the characteristic hydrodynamic behavior of a conformal field theory
with the presence of diffusion, shear, and sound wave modes. There is also a
family of purely damped electromagnetic modes which tend to the bosonic
Matsubara frequencies in the long-wavelength regime.Comment: 39 pages; added references; corrected typos; changed content in
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