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

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

1994-05-09

arxiv.org/abs/gr-qc/9405023v1

Int.J.Mod.Phys. D4 (1995) 581-588

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9, CEBAF-TH-94-07

Scientific paper

10.1142/S0218271895000405

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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