137 citations · 305 across the 13 of their papers we have counts for
13 papers
The Averaging Problem in Cosmology and Macroscopic Gravity
Roustam Zalaletdinov
The averaging problem in cosmology and the approach of macroscopic gravity to resolve the problem is discussed. The averaged Einstein equations of macroscopic gravity are modified…
Extended Schouten classification for non-Riemannian geometries
S. Casanova, O. M. Lecian, G. Montani +2
A generalized connection, including Christoffel coefficients, torsion, non-metricity tensor and metric-asymmetricity object, is analyzed according to the Schouten classification. T…
Cosmological Solutions in Macroscopic Gravity
A. A. Coley, N. Pelavas, R. M. Zalaletdinov
In the macroscopic gravity approach to the averaging problem in cosmology, the Einstein field equations on cosmological scales are modified by appropriate gravitational correlation…
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…
The Gravitational Polarization in General Relativity: Solution to Szekeres' Model of Quadrupole Polarization
Giovanni Montani, Remo Ruffini, Roustam Zalaletdinov
A model for the static weak-field macroscopic medium is analyzed and the equation for the macroscopic gravitational potential is derived. This is a biharmonic equation which is a n…
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…