Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds
arXiv:1010.1711 · doi:10.1103/PhysRevD.83.021503
Abstract
We extend the Abbott-Deser-Tekin procedure of defining conserved quantities of asymptotically constant-curvature spacetimes, and give an analogous expression for the conserved charges of geometries that are solutions of quadratic curvature gravity models in generic D-dimensions and that have arbitrary asymptotes possessing at least one Killing isometry. We show that the resulting charge expression correctly reduces to its counterpart when the background is taken to be a space of constant curvature and, moreover, is background gauge invariant. As applications, we compute and comment on the energies of two specific examples: the three dimensional Lifshitz black hole and a five dimensional companion of the first, whose energy has never been calculated beforehand.
arXiv comment10 pages, no figures; version 2: corrected an incorrect statement, given a new example, added a reference and some minor changes
References in corpus (11)
- Massive Gravity in Three Dimensions
- Energy in Generic Higher Curvature Gravity Theories
- Gravitational Energy in Quadratic Curvature Gravities
- A field-theory motivated approach to symbolic computer algebra
- Black hole mass and angular momentum in topologically massive gravity
- Lifshitz Black Hole in Three Dimensions
- A Lifshitz Black Hole in Four Dimensional R^2 Gravity
- Analytic Lifshitz black holes in higher dimensions
- Introducing Cadabra: a symbolic computer algebra system for field theory problems
- A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
- Mass and Angular momentum of Black Holes in New Massive Gravity
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