Invariant Renormalization-Group improvement
Abstract
Renormalization-Group (RG) improvement has been frequently applied to capture the effect of quantum corrections on cosmological and black-hole spacetimes. This work utilizes an algebraically complete set of curvature invariants to establish that: On the one hand, RG improvement at the level of the metric is coordinate-dependent. On the other hand, a newly proposed RG improvement at the level of curvature invariants is coordinate-independent. Spherically-symmetric and axially-symmetric black-hole spacetimes serve as physically relevant examples.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2021
- DOI:
- 10.48550/arXiv.2105.11458
- arXiv:
- arXiv:2105.11458
- Bibcode:
- 2021arXiv210511458H
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 16 pages + appedix (6 pages) and references