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Reduced phase space quantization of Ashtekar's gravity on de Sitter background

Authors
  • Grigentch, Ignati
  • Vassilevich, D. V.
Type
Published Article
Publication Date
May 09, 1994
Submission Date
May 09, 1994
Identifiers
DOI: 10.1142/S0218271895000405
arXiv ID: gr-qc/9405023
Source
arXiv
License
Unknown
External links

Abstract

We solve perturbative constraints and eliminate gauge freedom for Ashtekar's gravity on de Sitter background. We show that the reduced phase space consists of transverse, traceless, symmetric fluctuations of the triad and of transverse, traceless, symmetric fluctuations of the connection. A part of gauge freedom corresponding to the conformal Killing vectors of the three-manifold can be fixed only by imposing conditions on Lagrange multiplier. The reduced phase space is equivalent to that of ADM gravity on the same background.

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