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Loop quantization of spherically symmetric midi-superspaces

Miguel Campiglia·Rodolfo Gambini·Jorge Pullin
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Abstract

We quantize the exterior of spherically symmetric vacuum space-times using a midi-superspace reduction within the Ashtekar new variables. Through a partial gauge fixing we eliminate the diffeomorphism constraint and are left with a Hamiltonian constraint that is first class. We complete the quantization in the loop representation. We also use the model to discuss the issues that will arise in more general contexts in the ``uniform discretization'' approach to the dynamics.

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Miguel Campiglia, Rodolfo Gambini, Jorge Pullin. 2008-05-08. Loop quantization of spherically symmetric midi-superspaces. https://doi.org/10.1088/0264-9381%2F24%2F14%2F007

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