The Complete Zeldovich Approximation | Zendy

J. BetancortRijo | Zendy; M. LópezCorredoira | Zendy

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The Complete Zeldovich Approximation

Author(s) -

J. BetancortRijo,

M. LópezCorredoira

Publication year - 2000

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/312679

Subject(s) - generalization , planar , homogeneous space , third order , gaussian , exact solutions in general relativity , point (geometry) , order (exchange) , field (mathematics) , variety (cybernetics) , physics , mathematics , mathematical analysis , geometry , quantum mechanics , statistics , computer science , pure mathematics , philosophy , computer graphics (images) , theology , finance , economics

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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