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Loop quantization of spherically symmetric midi-superspaces

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arxiv gr-qc/0703135 v5 pith:CYDESFVD submitted 2007-03-27 gr-qc

Loop quantization of spherically symmetric midi-superspaces

classification gr-qc
keywords constraintloopquantizationsphericallysymmetricapproachariseashtekar
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quasinormal modes of a rotating loop quantum black hole

    gr-qc 2026-05 unverdicted novelty 5.0

    Quasinormal modes of a massless scalar field on a rotating loop quantum black hole background exhibit reduced real frequencies and damping rates with increasing quantum corrections, with rotation introducing crossover...

  2. Orbital Dynamics and Gravitational-Wave Signatures of EMRIs in Self-Dual Loop Quantum Gravity Black Holes

    gr-qc 2026-07 reject novelty 4.0

    The paper computes EMRI orbits and waveforms in self-dual LQG black hole spacetimes and claims Fisher-matrix constraints on the quantum parameters P and a0, but the Fisher forecast uses the metric itself as the observable.

  3. Quasinormal Modes of Self-Dual Loop Quantum Gravity Corrected Kerr Black Holes

    gr-qc 2026-07 reject novelty 2.0

    In a rotating LQG-corrected black hole model, the polymeric parameter P lowers scalar quasinormal-mode frequencies, while spin raises them.