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  Degenerate sectors of the Ashtekar gravity

Lewandowski, J., & Wisniewski, J. (1999). Degenerate sectors of the Ashtekar gravity. Classical and Quantum Gravity, 16(10), 3057-3069.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58D1-3 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58D2-1
Genre: Journal Article

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206204.pdf (Publisher version), 165KB
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 Creators:
Lewandowski, Jerzy1, Author
Wisniewski, J., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: This work completes the task of solving locally the Einstein - Ashtekar equations for degenerate data. The two remaining degenerate sectors of the classical (3 + 1)-dimensional theory are considered. First, with all densitized triad vectors linearly dependent and second, with only two independent ones. It is shown how to solve the Ashtekar - Einstein equations completely by suitable gauge fixing and choice of coordinates. Remarkably, the Hamiltonian weakly Poisson commutes with the conditions defining the sectors. The summary of degenerate solutions is given in an appendix.

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 Dates: 1999
 Publication Status: Published in print
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 Identifiers: eDoc: 206204
Other: 16432
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 16 (10) Sequence Number: - Start / End Page: 3057 - 3069 Identifier: -