Komar Integrals in Higher (and Lower) Derivative Gravity
arXiv:0804.1832 · doi:10.1088/0264-9381/25/17/175007
Abstract
The Komar integral relation of Einstein gravity is generalized to Lovelock theories of gravity. This includes, in particular, a new boundary integral for the Komar mass in Einstein gravity with a nonzero cosmological constant, which has a finite result for asymptotically AdS black holes, without the need for an infinite background subtraction. Explicit computations of the Komar mass are given for black holes in pure Lovelock gravities of all orders and in general Gauss-Bonnet theories.
16 pages; v2 - references and comment on relation to Noether charge method added
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