Gravity with more or less gauging
May 29, 2018
24 pages
Published in:
- Class.Quant.Grav. 35 (2018) 19, 195009
- Published: Sep 10, 2018
e-Print:
- 1805.11626 [gr-qc]
DOI:
- 10.1088/1361-6382/aadbd1 (publication)
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Abstract: (IOP)
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.Note:
- 24 pages, 1 table, 1 figure; minor changes to match published version
- invariance: gauge
- algebra: gauge
- transformation: Weyl
- diffeomorphism
- Hamiltonian formalism
- general relativity
- gravitation: unimodular
- dilaton
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