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  Quiescent cosmological singularities

Andersson, L., & Rendall, A. D. (2001). Quiescent cosmological singularities. Communications in Mathematical Physics, 218, 479-511.

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 Creators:
Andersson, Lars1, Author           
Rendall, Alan D.1, Author           
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: The most detailed existing proposal for the structure of spacetime singularities originates in the work of Belinskii, Khalatnikov and Lifshitz. We show rigorously the correctness of this proposal in the case of analytic solutions of the Einstein equations coupled to a scalar field or stiff fluid. More specifically, we prove the existence of a family of spacetimes depending on the same number of free functions as the general solution which have the asymptotics suggested by the Belinskii-Khalatnikov-Lifshitz proposal near their singularities. In these spacetimes a neighbourhood of the singularity can be covered by a Gaussian coordinate system in which the singularity is simultaneous and the evolution at different spatial points decouples.

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Language(s): eng - English
 Dates: 2001
 Publication Status: Issued
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 Identifiers: eDoc: 2786
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 218 Sequence Number: - Start / End Page: 479 - 511 Identifier: -