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A no-go result for covariance in models of loop quantum gravity

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arxiv 2007.16066 v1 pith:K3MD6N7C submitted 2020-07-31 gr-qc hep-th

Martin Bojowald This is my paper · ORCID
classification gr-qchep-th
keywords modelsquantumloopsymmetriccosmologycovariancesphericallycorresponding
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abstract

Based on the observation that the exterior space-times of Schwarzschild-type solutions allow two symmetric slicings, a static spherically symmetric one and a timelike homogeneous one, modifications of gravitational dynamics suggested by symmetry-reduced models of quantum cosmology can be used to derive corresponding modified spherically symmetric equations. Generally covariant theories are much more restricted in spherical symmetry compared with homogeneous slicings, given by $1+1$-dimensional dilaton models if they are local. As shown here, modifications used in loop quantum cosmology do not have a corresponding covariant spherically symmetric theory. Models of loop quantum cosmology therefore violate general covariance in the form of slicing independence. Only a generalized form of covariance with a non-Riemannian geometry could consistently describe space-time in models of loop quantum gravity.

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Cited by 3 Pith papers

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

  1. Motion of spinning particles around a quantum-corrected black hole without Cauchy horizons

    gr-qc 2025-09 conditional novelty 5.0 of 10

    For the covariant quantum-corrected black hole without Cauchy horizons, the effective potential, circular orbits, ISCO, and bound trajectories of spinning particles depend only weakly on the quantum parameter but stro...

  2. Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes

    gr-qc 2025-05 conditional novelty 5.0 of 10

    For one effective quantum gravity black hole model (BH-I), the quantum parameter shifts periodic orbits and delays gravitational wave phase, while for the other model (BH-II) the effect is negligible, making BH-I pote...

  3. Testing loop quantum gravity by quasi-periodic oscillations: rotating blackholes

    gr-qc 2024-12 conditional novelty 4.0 of 10

    QPO data from GRO J1655-40 constrain the LQG parameter λ in the BCY rotating black hole metric to 0.15 (equal mass) and 0.11 (unequal mass), both consistent with Kerr.

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