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.

Gravity with more or less gauging / Gielen, Steffen; De León Ardón, Rodrigo; Percacci, Roberto. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 35:19(2018), pp. 1-24. [10.1088/1361-6382/aadbd1]

Gravity with more or less gauging

De León Ardón, Rodrigo;Percacci, Roberto
2018

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.
35
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https://iopscience.iop.org/article/10.1088/1361-6382/aadbd1/meta
https://arxiv.org/abs/1805.11626
Gielen, Steffen; De León Ardón, Rodrigo; Percacci, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/88125
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