Phys. Rev. D 57, 6094–6103 (1998)Relativistic Zel’dovich approximation in a spherically symmetric modelSee Also: Erratum Received 27 October 1997; published in the issue dated 15 May 1998 We compare relativistic approximation methods, which describe gravitational instability in the expanding universe, in a spherically symmetric model. Linear perturbation theory, second-order perturbation theory, the relativistic Zel’dovich approximation, and the relativistic post-Zel’dovich approximation are considered and compared with the Lemaître-Tolman-Bondi solution in order to examine the accuracy of these approximations. We consider some cases of inhomogeneous matter distribution while the homogeneous top-hat model has been usually taken in the previous Newtonian works. It is found that the Zel’dovich-type approximations are generally more accurate than the conventional perturbation theories in the weakly nonlinear regime. The applicable range of the Zel’dovich-type approximations is also discussed. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.57.6094
DOI:
10.1103/PhysRevD.57.6094
PACS:
98.80.Hw, 04.25.Nx
See AlsoErratum: Masaaki Morita, Kouji Nakamura, and Masumi Kasai, Erratum: Relativistic Zel’dovich approximation in a spherically symmetric model [Phys. Rev. D 57, 6094 (1998)], Phys. Rev. D 58, 089903 (1998). |
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