The Complete Zeldovich Approximation

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Published 2000 May 15 © 2000. The American Astronomical Society. All rights reserved. Printed in U.S.A.
, , Citation J. Betancort-Rijo and M. López-Corredoira 2000 ApJ 534 L117 DOI 10.1086/312679

1538-4357/534/2/L117

Abstract

We have developed a generalization of the Zeldovich approximation that is exact in a wide variety of situations, including planar, spherical, and cylindrical symmetries. We have shown that this generalization, which we call the complete Zeldovich approximation (CZA), is exact to second order at an arbitrary point within any field. For Gaussian fields, the third-order error has been obtained and shown to be very small. For statistical purposes, the CZA leads to results exact to the third order.

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10.1086/312679