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:
DOI:

Citations per year

201820202022202420240246810
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
Loading ...