ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
This is the second in a pair of articles, the overall objective of which is to describe within the framework of the Einstein–Boltzmann system a self-consistent perturbation method which leads to a tractable set of integrodifferential equations for the rate of change of the metric and the distribution function. The main purpose here is to prove that, for cases where the pressure of the gas of massive particles vanishes in the background, the treatment of the Einstein–Boltzmann system by means of a suitable perturbation method automatically produces a complete scheme of hydrodynamics, consisting of a closed set of partial differential equations for the evaluation of the mean velocity, the mass density, the temperature or the pressure, and the metric. The growing hydrodynamic modes are systematically derived for an almost-Robertson–Walker universe model, and the calculations are proposed without making any restrictions on the form of the perturbed metric. To summarize, the present article suggests a scheme of hydrodynamics for the late stages of cosmic expansion and calls attention to the support and interpretation given by the general-relativistic kinetic theory of monatomic gases to this scheme. Comparison with the predictions of the Eckart and/or Landau–Lifshitz theories of dissipative fluids is also briefly presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530717
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