Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-11-30
Class.Quant.Grav.26:065013,2009
Physics
High Energy Physics
High Energy Physics - Theory
22 pages; a few clarifying remarks added at the end of section 6; missing factor sin^2 \theta inserted in eqs. (6.15) and (6.2
Scientific paper
10.1088/0264-9381/26/6/065013
We consider spherical gravitational perturbations of AdS4 space-time satisfying general boundary conditions at spatial infinity. Using the holographic renormalization method, we compute the energy-momentum tensor and show that it can always be cast in the form of Cotton tensor for a dual boundary metric. In particular, axial and polar perturbations obeying the same boundary conditions for the effective Schrodinger wave-functions exhibit an energy-momentum/Cotton tensor duality at conformal infinity. We demonstrate explicitly that this is holographic manifestation of the electric/magnetic duality of linearized gravity in the bulk, which simply exchanges axial with polar perturbations of AdS4 space-time. We note on the side that this particular realization of gravitational duality is also valid for perturbations near flat and dS4 space-time, depending on the value of cosmological constant.
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