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  Lagrangian theory of structure formation in relativistic cosmology III: gravitoelectric perturbation and solution schemes at any order

Alles, A., Buchert, T., Roumi, F. A., & Wiegand, A. (2015). Lagrangian theory of structure formation in relativistic cosmology III: gravitoelectric perturbation and solution schemes at any order. Physical Review D, 92: 023512. doi:10.1103/PhysRevD.92.023512.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-BBF7-9 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0027-F41C-B
Genre: Journal Article

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1503.02566.pdf (Preprint), 346KB
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 Creators:
Alles, Alexandre, Author
Buchert, Thomas, Author
Roumi, Fosca Al, Author
Wiegand, Alexander1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO
 Abstract: The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the first-order trace solutions that are generated by the spatially projected gravitoelectric part of the Weyl tensor were given together with extensions and applications for accessing the nonperturbative regime. We here furnish construction rules to obtain from Newtonian solutions the gravitoelectric class of relativistic solutions, for which we give the complete perturbation and solution schemes at any order of the perturbations. By construction, these schemes generalize the complete hierarchy of solutions of the Newtonian Lagrangian perturbation theory.

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 Dates: 2015-03-092015
 Publication Status: Published in print
 Pages: 17 pages, submitted to PRD
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1503.02566
DOI: 10.1103/PhysRevD.92.023512
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 92 Sequence Number: 023512 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258