Physics
Scientific paper
Dec 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1879z&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Dec. 1, 1989, p. 1879-1892.
Physics
9
Boltzmann Transport Equation, Cosmology, Relativistic Theory, Space-Time Functions, Stochastic Processes, Chapman-Enskog Theory, Dynamic Models, Einstein Equations
Scientific paper
Using the Klimontovich method of microscopic phase densities a relativistic stochastic Boltzmann equation leading to a fluctuating energy-momentum tensor is derived. Via Einstein's equations the metric quantities themselves become random. They fulfill relations of the type of fluctuation-dissipation theorems as is demonstrated for fluctuations of the cosmic scale factor of a flat Friedmann universe.
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