Hubble law, Accelerating Universe and Pioneer Anomaly as effects of the space-time conformal geometry
Abstract
Description
The description of the cosmological expansion and its possible local manifestations via treating the proper conformal transformations as a coordinate transformation from a comoving Lorentz reference frame to an uniformly accelerated one is given. The explicit form of the conformal time inhomogeneity is established. The expression defining the location cosmological distance in the form of simple function on the red shift is obtained. By coupling it with the relativistic formula for the longitudinal Doppler effect, the explicit expression for the Hubble law is obtained, which gives rise to the connection between acceleration and the Hubble constant. The expression generalizing the conventional Hubble law reproduces kinematically the experimentally observed phenomenon treated conventionally as a Dark Energy manifestation. The conformal time deformation in the small time limit leads to the quadratic time nonlinearity. Being applied to describe the location-type experiments, this predicts the existence of the universal uniformly changing blue-shifted frequency drift. The obtained formulae reproduce the Pioneer Anomaly experimental data.
Reported on International Seminar "Modern Problems of the Particle Physics" dedicated to Prof. I. L. Solovtsov momory, 17 January 2008, JINR, Dubna, Russia
Reported on International Seminar "Modern Problems of the Particle Physics" dedicated to Prof. I. L. Solovtsov momory, 17 January 2008, JINR, Dubna, Russia