# A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds - High Energy Physics - Theory

A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: We investigate the Brown-York stress tensor for curvature-squared theories.This requires a generalized Gibbons-Hawking term in order to establish awell-posed variational principle, which is achieved in a universal way byreducing the number of derivatives through the introduction of an auxiliarytensor field. We examine the boundary stress tensor thus defined for thespecial case of `massive gravity- in three dimensions, which augments theEinstein-Hilbert term by a particular curvature-squared term. It is shown thatone obtains finite results for physical parameters on AdS upon adding a`boundary cosmological constant- as a counterterm, which vanishes at theso-called chiral point. We derive known and new results, like the value of thecentral charges or the mass of black hole solutions, thereby confirming ourprescription for the computation of the stress tensor. Finally, we inspectrecently constructed Lifshitz vacua and a new black hole solution that isasymptotically Lifshitz, and we propose a novel and covariant counterterm forthis case.

Author: ** Olaf Hohm, Erik Tonni**

Source: https://arxiv.org/