On Second-Order Perturbation Theories of Gravitational Instability in Friedmann-Lemaitre Models
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概要
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The Eulerian and Lagrangian second-order perturbation theories are solved explicitly in closed forms in Ω≠1 and ∧≠0 Friedmann-Lemaitre models. We explicitly write the second-order theories in terms of closed one-dimensional integrals. In cosmologically interested cases (∧=0 or Ω +λ=1), they reduce to elementary functions or hypergeometric functions. For arbitrary Ω and ∧, We present accurate fitting formula which is sufficient in practice for the observational cosmology. It is reconfirmed for generic Ω and ∧ of interest that second-order effect only weakly depends on these parameters.
- 理論物理学刊行会の論文
- 1995-12-25
著者
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MATSUBARA Takahiko
Department of Physics and Astronomy, The Johns Hopkins University
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MATSUBARA Takeo
ICMT
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Matsubara T
Johns Hopkins Univ. Md Usa
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Matsubara Takahiko
Department Of Physics And Astronomy The Johns Hopkins University
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MASTUBARA Takahiko
Department of Physics, The University of Tokyo
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MATSUBARA Takeo
Department of Applied Physics, Okayama University of Science
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