Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-05-02
Phys.Rev. D66 (2002) 064014
Astronomy and Astrophysics
Astrophysics
26 pages, 5 figures
Scientific paper
10.1103/PhysRevD.66.064014
We extensively develop a perturbation theory for nonlinear cosmological dynamics, based on the Lagrangian description of hydrodynamics. We solve hydrodynamic equations for a self-gravitating fluid with pressure, given by a polytropic equation of state, using a perturbation method up to second order. This perturbative approach is an extension of the usual Lagrangian perturbation theory for a pressureless fluid, in view of inclusion of the pressure effect, which should be taken into account on the occurrence of velocity dispersion. We obtain the first-order solutions in generic background universes and the second-order solutions in wider range of a polytropic index, whereas our previous work gives the first-order solutions only in the Einstein-de Sitter background and the second-order solutions for the polytropic index 4/3. Using the perturbation solutions, we present illustrative examples of our formulation in one- and two-dimensional systems, and discuss how the evolution of inhomogeneities changes for the variation of the polytropic index.
Anzai Hiroki
Maeda Kei--ichi
Morita Masa-aki
Suda Momoko
Tatekawa Takayuki
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