NON-STATIONARY AXISYMMETRIC WAVES IN ELECTROMAGNETOELASTIC SPACE WITH A SPHERICAL CAVITY

On the reflection symmetry in stationary axisymmetric electrovacuum space-times

Abstract. Recently Kordas (1995 Class. Quantum Grav. 12 2037) and Meinel and Neugebauer (1995 Class. Quantum Grav. 12 2045) studied the conditions for reflection symmetry in stationary axisymmetric space–times in vacuum. They found that a solution to the Einstein field equations is reflectionally symmetric if their Ernst’s potential E(ρ = 0, z) = e(z) on a portion of the positive zaxis extendin...

Orientation of non-spherical particles in an axisymmetric random flow

Axisymmetric stationary solutions with arbitrary multipole moments

In this paper, the problem of finding an axisymmetric stationary spacetime from a specified set of multipole moments, is studied. The condition on the multipole moments, for existence of a solution, is formulated as a convergence condition on a power series formed from the multipole moments. The methods in this paper can also be used to give approximate solutions to any order as well as estimat...

Colliding axisymmetric pp-waves

An exact solution is found describing the collision of a class of axisymmetric pp-waves. They are impulsive in character and their coordinate singularities become point curvature singularities at the boundaries of the interaction region. The solution is conformally flat. Concrete examples are given, involving an ultrarelativistic black hole against a burst of pure radiation or two colliding bea...

Oscillations of magnetic stars II. Axisymmetric toroidal and non-axisymmetric shear Alfvén modes in a spherical shell

We carry out numerical and mathematical investigations of shear Alfvén waves inside of a spherical shell filled with an incompressible conducting fluid, and bathed in a strong dipolar magnetic field. We focus on axisymmetric toroidal and non-axisymmetric modes, in continuation of a previous work by Rincon & Rieutord (2003, A&A, 398, 663). Analytical expressions are obtained for toroidal eigenmo...