Gravitational redshifts in electromagnetic bursts occuring near Schwarzschild horizon

It was suggested earlier that the gravitational redshift formula can be invalid when the effect of the backscattering is strong. It is demonstrated here numerically, for an exemplary electromagnetic pulse that is: i) initially located very close to the horizon of a Schwarzschild black hole and ii) strongly backscattered, that a mean frequency does not obey the standard redshift formula. Redshifts appear to depend on the frequency and there manifests a backscatter-induced blueshift in the outgoing radiation.Comment: 4 pages, 2 figures. To appear in the Class. Q. Gra

Kaluza-Klein reduction scheme on supermanifolds

Kaluza–Klein reduction scheme is generalized to a supermanifold which is a product of some basic supermanifold and a classical simple Lie supergroup with nondegenerate Killing form. The resulting theory and its invariances are discussed in detail

Supersymmetric electric and magnetic monopoles

The spherically symmetric Yang–Mills theory with GSU(2) gauge supergroup is analysed. The solution is found consisting of electric and magnetic monopoles coupled with some scalar anticommuting field. Long range terms ($\sim \frac{1}{r}$ if r $\rightarrow \infty$) appear in the electric and magnetic fields

Chaos in Yang-Mills mechanics

Classical Yang-Mills mechanics is studied numerically in detail. Several typical trajectories corresponding to different values of energy were found. The Lyapunov characteristic functions together with the general qualitative analysis suggest that the system for sufficiently big energy exhibits weak chaotic behaviour

Review of bifurcations in Yang-Mills mechanics

Classical Yang–Mills mechanics is shortly reviewed. The family of basic periodic orbits corresponding to different values of energy was found. Several unstable bifurcations existing in this family are presented in detail and compared with their counterparts from the ZOO of stable bifurcations. A brief discussion of the separatrix splitting is also included