Conserved charges of quadratic curvature gravity theories in arbitrary backgrounds

Devecioğlu, Deniz Olgu
We generalize the definition of conserved gravitational Killing charges of quadratic curvature gravity theories to arbitrary backgrounds that admit at least one global (time-like) Killing vector. This charge definition is background gauge invariant and reduces correctly to the already known limit given by [1] when the background is a space of constant curvature. As an application we use this definition to compute the charges of various black holes in New Massive Gravity; namely the BTZ black hole, the black hole given in [2] and the Lifshitz black hole. Finally we compare the charges of these black holes with the ones given in [3], which uses a different approach.


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Conserved Killing charges of quadratic curvature gravity theories in arbitrary backgrounds
Devecioglu, Deniz Olgu; Sarıoğlu, Bahtiyar Özgür (2011-01-24)
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, more...
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Citation Formats
D. O. Devecioğlu, “Conserved charges of quadratic curvature gravity theories in arbitrary backgrounds,” M.S. - Master of Science, Middle East Technical University, 2010.