Relativistic Continuum and Sagnac’s, Erenfest’s and
From obtained structure equations, restrictions on a space-time geometry for possible solutions of
relativistic continua are studied. The Minkowski space proved to be “cramped” to describe the
continuum if except for the medium motion equations one imposes rigidity and rotation conditions.
The continuum is a basis of noninertial reference frames (NRF) where one studies different
physical processes. For example, bases of simplest NRF are constructed: 1. Relativistic globally
uniformly accelerated Born rigid NRF. 2. Relativistic Born rigid uniformly rotating reference frame
(RF) without a horizon. 3. Rigid irrotational spherically symmetrical quasi-Einstein’s NRF. One can’t
describe bases of these systems in the Minkowski space, the Riemannian space-time is needed.
The space-time of these RF is not directly connected with the general relativity theory (GRT),
though it imposes conditions on some solutions of the Einstein equations. A solution of the
Sagnac’s, Erenfest’s and Bell’s paradoxes is proposed.