Hubble's law and Superluminity Recession Velocities

TL;DR

This paper explores the extension of Hubble's law and superluminal recession velocities in an

Contribution

It demonstrates that both general relativity and special relativity frameworks yield consistent results for galaxy recession velocities when properly analyzed.

Findings

Both FRW and Minkowski space analyses agree on galaxy recession velocities.

Superluminal recession velocities are possible in FRW space but consistent with SR when transformations are considered.

No contradiction exists between SR and GR interpretations of cosmological redshift.

Abstract

The extension of the so-called "empty" (with gravity and antigravity that compensate each other in full or do not exist at all) universe and cosmological redshift in it are considered in this paper. Its flat space-time can be submitted not only as manifold with Friedman-Robertson-Walker metrics (FRW) of the general theory of relativity (GR) but also as space-time with usual Minkowski metrics (M-metrics) of the special theory of relativity (SR); the transfer of metrics can be done by suitable transformation of reference frame. Both below-mentioned statements are equally fair for such the universe. First: the distant galaxies can have superluminity recession velocities in FRW-space of GR; we have no right to use here the formula of relativistic Doppler effect. Secondly: the SR theory is fair in the M-space and, accordingly, recession velocities of the same galaxies here can aspire to the speed of light only. In this article it is shown that, despite opposite pictures in FRW-and M- spaces, in the careful account of all details both approaches yield results agreed among them. Thus, actually there are no contradictions between the interpretations of cosmological redshift, based on SR and GR.