The Stokes Stream Function in Axially Symmetric Potential Theory

Generalized Axially Symmetric Potential Theory

On Axially Symmetric Solutions in the Electroweak Theory

We present the general ansatz, the energy density and the Chern-Simons charge for static axially symmetric configurations in the bosonic sector of the electroweak theory. Containing the sphaleron, the multisphalerons and the sphaleronantisphaleron pair at finite mixing angle, the ansatz further allows the construction of the sphaleron and multisphaleron barriers and of the bisphalerons at finit...

Axially Symmetric Multisphalerons in Yang-mills-dilaton Theory

We construct sequences of axially symmetric multisphaleron solutions in SU(2) Yang-Mills-dilaton theory. The sequences are labelled by a winding number n > 1. For n = 1 the known sequence of spherically symmetric sphaleron solutions is obtained. The solutions within each sequence are labelled by the number of nodes k of the gauge field functions. The limiting solutions of the sequences correspo...

Axially Symmetric Solution in Teleparallel Theory of Gravitation

An exact solution has an axial symmetry is obtained in the teleparallel theory of grav-itation. The associated metric has the structure function G(ξ) = 1 − ξ 2 − 2mAξ 3. The cubic nature of the structure function can make calculations cumbersome. Using a coordinate transformation we get a tetrad that its associated metric has the structure function in a factorisable form. This new form has the ...

Quasi-axially symmetric stellarators.

Confinement of a plasma for controlled thermonuclear fusion is studied numerically. Toroidal equilibria are considered, with an emphasis on the Modular Helias-like Heliac 2 (MHH2), which is a stellarator of low aspect ratio with just two field periods surrounded by 16 modular coils. The geometry is fully three-dimensional, but there is an axial symmetry of the magnetic structure that is calcula...