Mathematics – Logic
Scientific paper
Apr 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998hadj...21..170z&link_type=abstract
Hadronic J., Vol. 21, No. 2, p. 170 - 191
Mathematics
Logic
1
Cosmology: General Relativity
Scientific paper
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 averaging procedure is described. The structure of the geometry of macroscopic space-time, which follows from averaging Cartan's structure equations, is described and the correlation tensors present in the theory are discussed. The macroscopic field equations (averaged Einstein's equations) derived in the framework of the approach are presented and their structure is analysed. The correspondence principle for macroscopic gravity is formulated and a definition of the stress-energy tensor for the macroscopic gravitational field is proposed. It is shown that the physical meaning of using Einstein's equations with a hydrodynamic stress-energy tensor in looking for cosmological models means neglecting all gravitational field correlations. The system of macroscopic gravity equations to be solved when the correlations are taken into consideration is given and described.
No associations
LandOfFree
Averaging problem in general relativity, macroscopic gravity and using Einstein's equations in cosmology. does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Averaging problem in general relativity, macroscopic gravity and using Einstein's equations in cosmology., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Averaging problem in general relativity, macroscopic gravity and using Einstein's equations in cosmology. will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1604170