Canonical charges and asymptotic symmetry algebra of conformal gravity
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 [1] we find that the charges associated with spacetime diffeomorphisms are finite and conserved in time. They are also shown to agree with the Noether charges found in [1]. 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 MannheimKazanasRiegert solution of conformal gravity.
 Publication:

Physical Review D
 Pub Date:
 May 2015
 DOI:
 10.1103/PhysRevD.91.104037
 arXiv:
 arXiv:1412.7508
 Bibcode:
 2015PhRvD..91j4037I
 Keywords:

 04.20.Fy;
 04.20.Ha;
 04.50.Kd;
 Canonical formalism Lagrangians and variational principles;
 Asymptotic structure;
 Modified theories of gravity;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 18 pages