Loop quantization of spherically symmetric midi-superspaces

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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18 pages, RevTex, no figures, some typos corrected, published version, for some reason a series of figures were incorrectly ad

Scientific paper

10.1088/0264-9381/24/14/007

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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