Diffeomorphism invariance in spherically symmetric loop quantum gravity

Details Diffeomorphism invariance in spherically symmetric loop quantum gravity Diffeomorphism invariance in spherically symmetric loop quantum gravity

2008-07-29

arxiv.org/abs/0807.4748v1

Adv.Sci.Lett.2:251-254,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures, invited paper for a special issue of Advanced Science Letters

Scientific paper

10.1166/asl.2009.1032

We study the issue of the recovery of diffeomorphism invariance in the recently introduced loop quantum gravity treatment of the exterior Schwarzschild space-time. Although the loop quantization agrees with the quantization in terms of metric variables in identifying the physical Hilbert space, we show that diffeomorphism invariance in space-time is recovered with certain limitations due to the use of holonomic variables in the loop treatment of the model. This resembles behaviors that are expected in the full theory.

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