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  Generating exact solutions to Einstein's equation using linearized approximations

Harte, A. I., & Vines, J. (2016). Generating exact solutions to Einstein's equation using linearized approximations. Physical Review D, 94: 084009. doi:10.1103/PhysRevD.94.084009.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002C-3F36-4 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-ECCB-0
Genre: Journal Article

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1608.04359.pdf (Preprint), 768KB
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 Creators:
Harte, Abraham I.1, Author              
Vines, Justin1, Author              
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We show that certain solutions to the linearized Einstein equation can---by the application of a particular type of linearized gauge transformation---be straightforwardly transformed into solutions of the exact Einstein equation. In cases with nontrivial matter content, the exact stress-energy tensor of the transformed metric has the same eigenvalues and eigenvectors as the linearized stress-energy tensor of the initial approximation. When our gauge exists, the tensorial structure of transformed metric perturbations identically eliminates all nonlinearities in Einstein's equation. As examples, we derive the exact Kerr and gravitational plane wave metrics from standard harmonic-gauge approximations.

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 Dates: 2016-08-152016-09-232016
 Publication Status: Published in print
 Pages: 13 pages, 1 figure. Added an example which uses 2nd-order gauge transformations
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 Rev. Method: -
 Identifiers: arXiv: 1608.04359
DOI: 10.1103/PhysRevD.94.084009
URI: http://arxiv.org/abs/1608.04359
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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: 94 Sequence Number: 084009 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258