Bodendorfer, Norbert and Mele, Fabio M. and Muench, Johannes (2018) Is limiting curvature mimetic gravity an effective polymer quantum gravity? CLASSICAL AND QUANTUM GRAVITY, 35 (22): 225001. ISSN 0264-9381, 1361-6382
Full text not available from this repository. (Request a copy)Abstract
A recently proposed version of mimetic gravity incorporates a limiting curvature into general relativity by means of a specific potential depending on the d'Alembertian of the scalar field. In the homogeneous and isotropic setting, the resulting theory agrees with the simplest incarnation of effective loop quantum cosmology (LQC) once the limiting curvature is identified with a multiple of the Planck scale. In this paper, we answer the question of whether such a relation can hold in the context of Bianchi I models. Our result is negative: it turns out to be impossible to view the Hamiltonian of limiting curvature mimetic gravity as an effective LQC Hamiltonian due to the appearance of terms that cannot be supported on the polymer Hilbert space underlying LQC. The present analysis complements a related result in the context of spherical symmetry.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | VARIABLES; mimetic gravity; limiting curvature; loop quantum gravity; polymer quantization |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 09 Oct 2019 06:24 |
| Last Modified: | 09 Oct 2019 06:24 |
| URI: | https://pred.uni-regensburg.de/id/eprint/13526 |
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