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Relativistic Zel'dovich approximation in spherically symmetric model

Masaaki Morita
(
- Tokyo Inst. Tech.
)
,
Kouji Nakamura
(
- JAERI, Tokai
)
,
Masumi Kasai
(
- Hirosaki U.
)

Nov, 1997

22 pages

Published in:

Phys.Rev.D 57 (1998) 6094-6103,
Phys.Rev.D 58 (1998) 089903 (erratum)

e-Print:

astro-ph/9711026 [astro-ph]

DOI:

Report number:

TIT-HEP-380,
COSMO-87,
TIT-HEP-380-COSMO-87

View in:

ADS Abstract Service

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Abstract: (arXiv)

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, relativistic Zel'dovich approximation, and relativistic post-Zel'dovich approximation are considered and compared with the Lema\^{\i}tre-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. Applicable range of the Zel'dovich-type approximations is also discussed.

Note:

22 pages including 10 eps figures, REVTeX

References(22)

Figures(10)

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