Zobrazeno 1 - 10
of 375
pro vyhledávání: '"A. Zalaletdinov"'
Autor:
Zalaletdinov, Roustam
Publikováno v:
Int.J.Mod.Phys.A23:1173-1181,2008
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 on cosmological scales by the macroscopic gravitational correlation te
Externí odkaz:
http://arxiv.org/abs/0801.3256
Publikováno v:
Mod.Phys.Lett.A23:17-23,2008
A generalized connection, including Christoffel coefficients, torsion, non-metricity tensor and metric-asymmetricity object, is analyzed according to the Schouten classification. The inverse structure matrix is found in the linearized regime, autopar
Externí odkaz:
http://arxiv.org/abs/0712.3716
Autor:
Zalaletdinov, Roustam
Publikováno v:
Online Proceedings of the Atlantic Regional Meeting on General Relativity and Gravitation, Fredericton, NB, Canada, May 2006, ed. R.J. McKellar (http://www.math.unb.ca/atgr/, University of New Brunswick, 2006)
The Averaging problem in general relativity and cosmology is discussed. The approach of macroscopic gravity to resolve the problem is presented. An exact cosmological solution to the equations of macroscopic gravity is given and its properties are di
Externí odkaz:
http://arxiv.org/abs/gr-qc/0701116
Publikováno v:
Phys.Rev.Lett. 95 (2005) 151102
In the macroscopic gravity approach to the averaging problem in cosmology, the Einstein field equations on cosmological scales are modified by appropriate gravitational correlation terms. We present exact cosmological solutions to the equations of ma
Externí odkaz:
http://arxiv.org/abs/gr-qc/0504115
Autor:
Zalaletdinov, Roustam
Publikováno v:
Annals of the European Academy of Sciences (2003), p. 344-371
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 macroscopic gravity is given. The algebraic and differential properties of
Externí odkaz:
http://arxiv.org/abs/gr-qc/0411004
Publikováno v:
Class.Quant.Grav. 20 (2003) 4195-4212
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 non-trivial generalization of the Poisson equation of Newtonian gravity
Externí odkaz:
http://arxiv.org/abs/gr-qc/0307077
Averaging out Inhomogeneous Newtonian Cosmologies: I. Fluid Mechanics and the Navier-Stokes Equation
Autor:
Zalaletdinov, Roustam
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 system of the averaged Navier-Stokes-Poisson equations. A special attent
Externí odkaz:
http://arxiv.org/abs/gr-qc/0212070
Averaging out Inhomogeneous Newtonian Cosmologies: III. The Averaged Navier-Stokes-Poisson Equations
Autor:
Zalaletdinov, Roustam, Coley, Alan
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 space-time, space, time and ensemble averages for the cosmological fluid
Externí odkaz:
http://arxiv.org/abs/gr-qc/0212072
Autor:
Zalaletdinov, Roustam
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 particular attention is paid to the physical and cosmological hypotheses ab
Externí odkaz:
http://arxiv.org/abs/gr-qc/0212071
Publikováno v:
Phys.Rev.D67:104020,2003
We shall investigate $D$-dimensional Lorentzian spacetimes in which all of the scalar invariants constructed from the Riemann tensor and its covariant derivatives are zero. These spacetimes are higher-dimensional generalizations of $D$-dimensional pp
Externí odkaz:
http://arxiv.org/abs/gr-qc/0212063