8 citations · 12 across the 4 of their papers we have counts for
6 papers
Space-time Averages of Classical Physical Fields
Roustam Zalaletdinov
A review on the main results concerning the algebraic and differential properties of the averaging and coordination operators and the properties of the space-time averages of macro…
Averaging out Inhomogeneous Newtonian Cosmologies: III. The Averaged Navier-Stokes-Poisson Equations
Roustam Zalaletdinov, Alan Coley
The basic concepts and hypotheses of Newtonian Cosmology necessary for a consistent treatment of the averaged cosmological dynamics are formulated and discussed in details. The spa…
Averaging out Inhomogeneous Newtonian Cosmologies: II. Newtonian Cosmology and the Navier-Stokes-Poisson Equations
Roustam Zalaletdinov
The basic concepts and equations of Newtonian Cosmology are presented in the form necessary for the derivation and analysis of the averaged Navier-Stokes-Poisson equations. A parti…
Averaging out Inhomogeneous Newtonian Cosmologies: I. Fluid Mechanics and the Navier-Stokes Equation
Roustam Zalaletdinov
The basic concepts and equations of classical fluid mechanics are presented in the form necessary for the formulation of Newtonian cosmology and for derivation and analysis of a sy…
Approximate Symmetries in General Relativity
Roustam Zalaletdinov
The problem of finding an appropriate geometrical/physical index for measuring a degree of inhomogeneity for a given space-time manifold is posed. Interrelations with the problem o…
Averaging Problem in General Relativity, Macroscopic Gravity and Using Einstein's Equations in Cosmology
Roustam M. Zalaletdinov
The averaging problem in general relativity is briefly discussed. A new setting of the problem as that of macroscopic description of gravitation is proposed. A covariant space-time…