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Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds
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Date
2011-01-24
Author
Devecioglu, Deniz Olgu
Sarıoğlu, Bahtiyar Özgür
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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 before.
Subject Keywords
Astronomy & Astrophysics
,
Physics, Particles & Fields
URI
https://hdl.handle.net/11511/36831
Journal
PHYSICAL REVIEW D
DOI
https://doi.org/10.1103/physrevd.83.021503
Collections
Department of Physics, Article
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D. O. Devecioglu and B. Ö. Sarıoğlu, “Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds,”
PHYSICAL REVIEW D
, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36831.