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  Gluing construction of initial data with Kerr-de Sitter ends

Cortier, J. (2013). Gluing construction of initial data with Kerr-de Sitter ends. Annales Henri Poincare, 14(5), 1109-1134. doi:10.1007/s00023-012-0210-z.

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1202.3688.pdf (Preprint), 335KB
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 Creators:
Cortier, Julien1, Author           
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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,
 Abstract: We construct initial data sets which satisfy the vacuum constraint equa- tions of General Relativity with positive cosmologigal constant. More pre- silely, we deform initial data with ends asymptotic to Schwarzschild-de Sitter to obtain non-trivial initial data with exactly Kerr-de Sitter ends. The method is inspired from Corvino's gluing method. We obtain here a extension of a previous result for the time-symmetric case by Chru\'sciel and Pollack.

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 Dates: 2012-02-162013
 Publication Status: Issued
 Pages: 27 pages, 3 figures
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 Rev. Type: -
 Identifiers: arXiv: 1202.3688
DOI: 10.1007/s00023-012-0210-z
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Title: Annales Henri Poincare
Source Genre: Journal
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Publ. Info: Basel : Birkhäuser
Pages: - Volume / Issue: 14 (5) Sequence Number: - Start / End Page: 1109 - 1134 Identifier: ISSN: 1424-0637
CoNE: https://pure.mpg.de/cone/journals/resource/954925494977_2