Abstract
We compute the boundary stress tensor associated with Mann-Marolf counterterm in asymptotically flat and static spacetime for a cylindrical boundary surface as r → ∞, andfindthattheformoftheboundarystresstensoristhesameasthehyperbolic boundary case in 4 dimensions, but has additional terms in more than 4 dimensions. We find that these additional terms are impotent and do not contribute to conserved charges. We also check the conservation of the boundary stress tensor D a T ab = 0, and apply our result to the (n + 3)-dimensional static black hole solution. As a result, we show that the stress boundary tensor with the Mann-Marolf counterterm works well for standard boundary surfaces.
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ArXiv ePrint: 1210.3843
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Park, M., Mann, R.B. Holographic renormalization of asymptotically flat gravity. J. High Energ. Phys. 2012, 98 (2012). https://doi.org/10.1007/JHEP12(2012)098
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DOI: https://doi.org/10.1007/JHEP12(2012)098