**S. G. Chefranov**^{a,}*** and E. A. Novikov**^{b,}****
**

^{a}*Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences, Pyzhevskii per. 3, Moscow, 109017 Russia
*

^{b}*Institute for Nonlinear Science, University of California, San Diego, La Jolla, USA
*

**e-mail: schefranov@mail.ru
*

***e-mail: enovikov@ucsd.edu
*

Received January 21, 2010

**Abstract**—We have obtained a generalization of the hydrodynamic theory of vacuum in the context of general

relativity. While retaining the Lagrangian character of general relativity, the new theory provides a natural alter-

native to the view that the singularity is inevitable in general relativity and the theory of a hot Universe. We

show that the macroscopic source–sink motion as a whole of ordinary (dark) matter that emerges during the

production of particles out of the vacuum can be a new source of gravitational vacuum polarization (determin-

ing the variability of the cosmological term in general relativity). We have removed the well-known problems

of the cosmological constant by refining the physical nature of dark energy associated precisely with this hydro-

dynamically initiated variability of the vacuum energy density. A new exact solution of the modified general

relativity equations that contains no free (fitting) parameter additional to those available in general relativity has

been obtained. It corresponds to the continuous and metric-affecting production of ultralight dark matter parti-

cles (with mass *m*_{0} = (/*c*^{2}) 3 10^{–66} g, *k* is the gravitational constant) out of the vacuum, with its

density _{0}, constant during the exponential expansion of a spatially flat Universe, being retained. This solution

is shown to be stable in the regime of cosmological expansion in the time interval @@< *t* <* t*_{max}, when *t *=

0 corresponds to the present epoch and *t*_{max} = 2/3*H*_{0}*c*_{0m} 38 10^{9} yr at _{0m} = _{0}/_{c} 0.28 (*H*_{0} is the Hubble

constant, _{c} is the critical density). For *t* > *t*_{max}, the solution becomes exponentially unstable and characterizes

the inverse process of dark matter particle absorption by the vacuum in the regime of contraction of the Uni-

verse. We consider the admissibility of the fact that scalar massive photon pairs can be these dark matter parti-

cles. Good quantitative agreement of this exact solution with the cosmological observations of SnIa, SDSS-

BAO, and the decrease in the acceleration of the expansion of the Universe has been obtained.

**DOI: **10.1134/S106377611011004X

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