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  Lagrangian theory of structure formation in relativistic cosmology. IV. Lagrangian approach to gravitational waves

Roumi, F. A., Buchert, T., & Wiegand, A. (2017). Lagrangian theory of structure formation in relativistic cosmology. IV. Lagrangian approach to gravitational waves. Physical Review D, 96: 123538. doi:10.1103/PhysRevD.96.123538.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0000-3DB0-5 Version Permalink: http://hdl.handle.net/21.11116/0000-0000-3DB1-4
Genre: Journal Article

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1711.01597.pdf (Preprint), 369KB
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 Creators:
Roumi, Fosca Al, Author
Buchert, Thomas, Author
Wiegand, Alexander1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_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 perturbation and solution schemes that are generated by the spatially projected gravitoelectric part of the Weyl tensor were given to any order of the perturbations, together with extensions and applications for accessing the nonperturbative regime. We here discuss more in detail the general first-order scheme within the Cartan formalism including and concentrating on the gravitational wave propagation in matter. We provide master equations for all parts of Lagrangian-linearized perturbations propagating in the perturbed spacetime, and we outline the solution procedure that allows one to find general solutions. Particular emphasis is given to global properties of the Lagrangian perturbation fields by employing results of Hodge-de Rham theory. We here discuss how the Hodge decomposition relates to the standard scalar-vector-tensor decomposition. Finally, we demonstrate that we obtain the known linear perturbation solutions of the standard relativistic perturbation scheme by performing two steps: first, by restricting our solutions to perturbations that propagate on a flat unperturbed background spacetime and, second, by transforming to Eulerian background coordinates with truncation of nonlinear terms.

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 Dates: 2017-11-052017-12-292017
 Publication Status: Published in print
 Pages: 15 pages, matches published version in PRD
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1711.01597
DOI: 10.1103/PhysRevD.96.123538
URI: http://arxiv.org/abs/1711.01597
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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: 96 Sequence Number: 123538 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258