Gravity with more or less gauging

Gielen, Steffen; de Le�n Ard�n, Rodrigo; Percacci, Roberto

Abstract

General relativity is usually formulated as a theory with gauge invariance under the diffeomorphism group, but there is a 'dilaton' formulation where it is in addition invariant under Weyl transformations, and a 'unimodular' formulation where it is only invariant under the smaller group of special diffeomorphisms. Other formulations with the same number of gauge generators, but a different gauge algebra, also exist. These different formulations provide examples of what we call 'inessential gauge invariance', 'symmetry trading' and 'linking theories'; they are locally equivalent, but may differ when global properties of the solutions are considered. We discuss these notions in the Lagrangian and Hamiltonian formalism.

Citation

Gielen, S., de León Ardón, R., & Percacci, R. (2018). Gravity with more or less gauging. Classical and Quantum Gravity, 35(19), 195009. https://doi.org/10.1088/1361-6382/aadbd1

• Journal Article Type: Article
• Acceptance Date: Aug 21, 2018
• Online Publication Date: Sep 10, 2018
• Publication Date: Sep 10, 2018
• Deposit Date: Sep 10, 2018
• Publicly Available Date: Sep 11, 2019
• Journal: Classical and Quantum Gravity
• Print ISSN: 0264-9381
• Electronic ISSN: 1361-6382
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 35
• Issue: 19
• Pages: 195009
• DOI: https://doi.org/10.1088/1361-6382/aadbd1