Diffeomorphism invariance in spherically symmetric loop quantum gravity

Abstract

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.

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

References in corpus (2)

• Black holes in loop quantum gravity: the complete space-time
• Hybrid Quantum Gowdy Cosmology: Combining Loop and Fock Quantizations

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• Loop quantum black hole extensions within the improved dynamics
• Anisotropic Structures and Wormholes with Loop Quantum Gravity Holonomy Corrections