Canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity

Bodendorfer, N. and Schaefer, A. and Schliemann, J. (2018) Canonical structure of general relativity with a limiting curvature and its relation to loop quantum gravity. PHYSICAL REVIEW D, 97 (8): 084057. ISSN 2470-0010, 2470-0029

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Abstract

Chamseddine and Mukhanov recently proposed a modified version of general relativity that implements the idea of a limiting curvature. In the spatially flat, homogeneous, and isotropic sector, their theory turns out to agree with the effective dynamics of the simplest version of loop quantum gravity if one identifies their limiting curvature with a multiple of the Planck curvature. At the same time, it extends to full general relativity without any symmetry assumptions and thus provides an ideal toy model for full loop quantum gravity in the form of a generally covariant effective action known to all orders. In this paper, we study the canonical structure of this theory and point out some interesting lessons for loop quantum gravity. We also highlight in detail how the two theories are connected in the spatially flat, homogeneous, and isotropic sector.

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann
Physics > Institute of Theroretical Physics > Chair Professor Schäfer > Group Andreas Schäfer
Depositing User: Dr. Gernot Deinzer
Date Deposited: 19 Mar 2020 15:06
Last Modified: 19 Mar 2020 15:06
URI: https://pred.uni-regensburg.de/id/eprint/14700

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