The text of the original in Russian

Relativistic radial coordinate value of distant celestial objects, the expanding universe 

Shown heterogeneity relativistic angular distribution of luminous distant celestial objects, the expanding universe in its own space observer. 
We obtain photometric relativistic dependence, to determine the radial coordinate of astronomical objects in the light of the angular distribution of its luminous intensity. Because of this dependence implies that the values of the radial coordinates of distant astronomical objects in its own space observer is much less than the values determined by the classical photometric dependence. This, together with the light of the increasing gravitational mass veschestvapo As we approach the psevdogorizontu visibility own space observer, perhaps, to avoid the existence of needs in the universe, called dark matter nebarionnoy. 
PACS: 03.30. + P, 04.20.-q, 98.62.Py, 95.35. + D 

1. INTRODUCTION 
As a general rule, far away astronomical objects are considered in the frames of reference spatial coordinates and time (JI), in which the Universe is homogeneous. 
These do not meet the CO time-space continuum (AHC) of any particular observer, and in fact accompany the universe. Because of the phenomenon of an expanding universe, they can not be rigid (in their substance and the standard length is continuously deformed). Due to continuous changes in the scale factor associated universe of * is required and continuous renormalization of the parameters of motion of astronomical objects. And when you use them metrically heterogeneous (uneven), the scale of cosmological time required continuous renormalization also value the gravitational constant. However, the conditional stillness of astronomical objects in the universe of concomitant red shift of the spectrum of radiation can not be due to its Doppler effect. This effect of red shift may be explained by looking only at distant astronomical objects expanding Universe directly in solid CO AHC any particular observer. However, it is necessary to take into account the following factors. Raznomestnye events related to the same moment of cosmological time, in these tough JI is not the same. Because of this relativistic effect at any point of time the observer's own universe is not homogeneous in its CO and limited visibility psevdogorizontom * belonging only infinitely distant cosmological past. When analyzing the results of astronomical observations directly to the CO observer must take into account not only the relativistic Doppler shift in the spectrum of radiation, but also the heterogeneity of the relativistic angular distribution of intensity (light) * [1] distant objects expanding Universe. 
Ignoring this can also lead to very inflated values of the radial coordinates and velocities pekulyarnogo motion of distant objects in their own space observer. And, obviously, is ignoring him, together with the neglect of the need for renormalization of the gravitational constant values in concomitant of the universe is one of the reasons for the existence of imaginary needs in the universe, called dark matter 

* CO, the space which is expanding along with the totality of all the galaxies and their clusters (galaxies in this move of only pekulyarno). 
* All covered in cosmology horizons (the Hubble sphere, particle horizon and event horizon) would provide the possibility of the existence of these fundamentally unobservable objects or the world of dots (events that have occurred or will occur on specific objects universe). During the same fictitious horizon, where improper speed of light in the hard of zero, in fact, nothing like a dummy for the Schwarzschild sphere, belongs only infinitely distant cosmological future. 
* «This is a well-known effect, which leads to isotropic radiation rapidly away from the observer, the source looks as if almost all of it is emitted in the form of a focused beam prozhektornogo» [1] in the opposite direction of the observer. And, therefore, observed the luminous and creating a source of illumination are extremely small, despite the relatively small distance from it. 

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