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arXiv · 0812.0152

Duality in linearized gravity and holography

Ioannis Bakas
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Abstract

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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Ioannis Bakas. 2009-02-19. Duality in linearized gravity and holography. https://doi.org/10.1088/0264-9381%2F26%2F6%2F065013

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