The geometry of impulsive pp-waves is explored via the analysis of the geodesic and
geodesic deviation equation using the distributional form of the metric. The geodesic equation …

Geodesic Acoustic Waves in Hydromagnetic Systems - NASA/ADS … In toroidal systems
with geodesic curvature an electrostatic acoustic mode occurs with plasma motion in the …

… waves. Here, we start a systematic study of their main geodesic properties: geodesic
completeness, geodesic connectedness and multiplicity causal character of connecting geodesics. …

… Assume that this wave equation on Minkowski space admits a stable solitary wave of the type
… to a nontopological soliton centred on a time-like geodesic (in appropriate Sobolev norms). …

… The rays are the geodesics of the surface. Two optical geodesic lenses having planar input
and … Here we present some geodesic (or configuration) lenses constructed and tested in the …

… Obviously, only the symmetric part of the connection enters the geodesic equation, and we
will … choice of the curve parameters of the neighboring geodesics), we find, to first order in hik …

… in the entire class of nonexpanding impulsive gravitational waves propagating in an (anti-)…
uniqueness of geodesics that cross the impulsive wave and hence geodesic completeness in …

… Exact electromagnetic waves solutions are written on given gravitational field backgrounds
… , electromagnetic waves travel along null geodesics. However, electromagnetic waves on …

… on geodesic lenses form closed trajectories, and that for optical waves, the spectrum of a
geodesic … Moreover, we fabricate two geodesic lenses in micrometer and millimeter scales and …

… the solutions of the wave equation in a … wave equation propagates the information. We
show here that the support of the solution propagates with velocity at most 1 along the geodesics …