LETTER TO THE EDITOR: A note on the Deser Tekin charges
Abstract
Perturbed equations for an arbitrary metric theory of gravity in D dimensions are constructed in the vacuum of this theory. The nonlinear part together with matter fields are a source for the linear part and are treated as a total energy momentum tensor. A generalized family of conserved currents expressed through divergences of antisymmetrical tensor densities (superpotentials) linear in perturbations is constructed. The new family generalizes the Deser and Tekin currents and superpotentials in quadratic curvature gravity theories generating Killing charges in dS and AdS vacua. As an example, the mass of a Ddimensional Schwarzschild black hole in an effective AdS spacetime (a solution in the Einstein Gauss Bonnet theory) is examined.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 August 2005
 DOI:
 10.1088/02649381/22/16/L01
 arXiv:
 arXiv:grqc/0504058
 Bibcode:
 2005CQGra..22L..83P
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 LATEX, 7 pages, no figures