The Fundamental Solution in Axially Symmetric Potential Theory

Generalized Axially Symmetric Potential Theory

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 ...

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...

Fundamental Solution in the Theory of Thermoelastic Diffusion Materials with Double Porosity

The main purpose of present article is to find the fundamental solution of partial differential equations in the generalized theory of thermoelastic diffusion materials with double porosity in case of steady oscillations in terms of elementary functions.