Systematic treatment of non-linear effects in Baryon Acoustic Oscillations

In this contribution we will discuss the non-linear effects in the baryon acoustic oscillations and present a systematic and controllable way to account for them within time-sliced perturbation theory.Comment: 8 pages, 5 figures; to appear in the Proceedings of the 19th International Seminar on High Energy Physics QUARKS-2016, Pushkin, Russia, 29 May - 4 June, 201

A model of gravitation with global U(1)-symmetry

It is shown that an embedding of the general relativity $4-$space into a flat $12-$space gives a model of gravitation with the global $U(1)-$symmetry and the discrete $D_{1}-$one. The last one may be transformed into the $SU(2)-$symmetry of the unified model, and the demand of independence of $U(1)-$ and $SU(2)-$transformations leads to the estimate $\sin^{2}\theta_{min}=0,20$ where $\theta_{min}$ is an analog of the Weinberg angle of the standard model.Comment: 7 page

Non-dopplerian cosmological redshift parameters in a model of graviton-dusty universe

Possible effects are considered which would be caused by a hypothetical superstrong interaction of photons or massive bodies with single gravitons of the graviton background. If full cosmological redshift magnitudes are caused by the interaction, then the luminosity distance in a flat non-expanding universe as a function of redshift is very similar to the specific function which fits supernova cosmology data by Riess et al. From another side, in this case every massive body, slowly moving relatively to the background, would experience a constant acceleration, proportional to the Hubble constant, of the same order as a small additional acceleration of Pioneer 10, 11.Comment: 5 pages. It was presented: at SIGRAV'2000 Congress, Italy (this version); in Proc. of the Int. Symp. "FFP 4" (9-13 Dec 2000, Hyderabad, India), Sidharth& Altaisky, Eds., Kluwer Academic/Plenum, 2001;in Proc. of the 4th Edoardo Amaldi Conference on GW (Perth, W. Australia, 8-13 July 2001