A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds View Full Text


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Article Info

DATE

2010-04

AUTHORS

Olaf Hohm, Erik Tonni

ABSTRACT

We investigate the Brown-York stress tensor for curvature-squared theories. This requires a generalized Gibbons-Hawking term in order to establish a well-posed variational principle, which is achieved in a universal way by reducing the number of derivatives through the introduction of an auxiliary tensor field. We examine the boundary stress tensor thus defined for the special case of ‘massive gravity’ in three dimensions, which augments the Einstein-Hilbert term by a particular curvature-squared term. It is shown that one obtains finite results for physical parameters on AdS upon adding a ‘boundary cosmological constant’ as a counterterm, which vanishes at the so-called chiral point. We derive known and new results, like the value of the central charges or the mass of black hole solutions, thereby confirming our prescription for the computation of the stress tensor. Finally, we inspect recently constructed Lifshitz vacua and a new black hole solution that is asymptotically Lifshitz, and we propose a novel and covariant counterterm for this case. More... »

PAGES

93

References to SciGraph publications

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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep04(2010)093

    DOI

    http://dx.doi.org/10.1007/jhep04(2010)093

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1041928662


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