Canonical charges and asymptotic symmetry algebra of conformal gravity
arXiv:1412.7508 · doi:10.1103/PhysRevD.91.104037
Abstract
We study canonical conformal gravity in four dimensions and construct the gauge generators and the associated charges. Using slightly generalized boundary conditions compared to those in \cite{Grumiller:2013mxa} we find that the charges associated with space-time diffeomorphisms are finite and conserved in time. They are also shown to agree with the Noether charges found in \cite{Grumiller:2013mxa}. However, there exists no charge associated with Weyl transformations. Consequently the asymptotic symmetry algebra is isomorphic to the Lie algebra of the boundary condition preserving diffeomorphisms. For illustrative purposes we apply the results to the Mannheim--Kazanas--Riegert solution of conformal gravity.
18 pages
References in corpus (6)
- AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
- Model for gravity at large distances
- Solution to the ghost problem in fourth order derivative theories
- Fake Conformal Symmetry in Conformal Cosmological Models
- Gauge Natural Formulation of Conformal Theory of Gravity
- Holographic Two-Point Functions in Conformal Gravity