English

Komar Integrals in Higher (and Lower) Derivative Gravity

High Energy Physics - Theory 2008-11-26 v2

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.

Keywords

Cite

@article{arxiv.0804.1832,
  title  = {Komar Integrals in Higher (and Lower) Derivative Gravity},
  author = {David Kastor},
  journal= {arXiv preprint arXiv:0804.1832},
  year   = {2008}
}

Comments

16 pages; v2 - references and comment on relation to Noether charge method added

R2 v1 2026-06-21T10:29:51.630Z