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Gravity with more or less gauging

Gielen, Steffen; de León Ardón, Rodrigo; Percacci, Roberto


Steffen Gielen

Rodrigo de León Ardón

Roberto Percacci


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.

Journal Article Type Article
Publication Date Sep 10, 2018
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
APA6 Citation Gielen, S., de León Ardón, R., & Percacci, R. (2018). Gravity with more or less gauging. Classical and Quantum Gravity, 35(19), (195009). doi:10.1088/1361-6382/aadbd1. ISSN 0264-9381


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