Conserved charges of quadratic curvature gravity theories in arbitrary backgrounds

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2010
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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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.