Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Zalaletdinov, Roustam"'
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
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
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:
Nuovo Cim.B115:1343-1354,2000
The problem of construction of a continuous (macroscopic) matter model for a given point-like (microscopic) matter distribution in general relativity is formulated. The existing approaches are briefly reviewed and a physical analogy with the similar
Externí odkaz:
http://arxiv.org/abs/gr-qc/0012080
Autor:
Zalaletdinov, Roustam
Publikováno v:
Proc. of the 2nd ICRA Network Workshop "The Chaotic Universe", Rome-Pescara, February 1999, eds. V. Gurzadyan and R. Ruffini (World Scientific, Singapore, 2000), p. 619635
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 of understanding the gravitational/informational entropy are pointed ou
Externí odkaz:
http://arxiv.org/abs/gr-qc/9912021
Autor:
Tavakol, Reza, Zalaletdinov, Roustam
Publikováno v:
Found.Phys. 28 (1998) 307-331
We consider the domain of applicability of general relativity (GR), as a classical theory of gravity, by considering its applications to a variety of settings of physical interest as well as its relationship with real observations. We argue that, as
Externí odkaz:
http://arxiv.org/abs/gr-qc/9703025