Brief Note on AMD Conserved Quantities in Quadratic Curvature Theories

Details Brief Note on AMD Conserved Quantities in Quadratic Curvature Theories Brief Note on AMD Conserved Quantities in Quadratic Curvature Theories

2011-01-22

arxiv.org/abs/1101.4267v2

Phys.Rev.D83:087501,2011

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1103/PhysRevD.83.087501

Motivated by the recent work on critical gravity theories in dimensions D>3, we reexamine the results in [arXiv:hep-th/0501044], where the conformal mass definition of Ashtekar, Magnon and Das (AMD) for asymptotically AdS space-times was generalized to incorporate curvature squared terms. The results in [arXiv:hep-th/0501044] appear to contradict the findings in critical gravity, where, using the methods of Deser and Tekin, black holes were shown to have zero mass. We show that after correcting an error in [arXiv:hep-th/0501044], the AMD approach actually produces results in complete agreement with those obtained by using the methods of Deser and Tekin.

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