Duality in linearized gravity and holography

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dc.creatorBakas, Ioannis
dc.date2008-11-30
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:56:48Z
dc.date.available2026-07-07T12:56:48Z
dc.descriptionWe 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.
dc.description22 pages; a few clarifying remarks added at the end of section 6; missing factor sin^2 θinserted in eqs. (6.15) and (6.20) (version to be published in Class. Quant. Grav.)
dc.identifierhttps://arxiv.org/abs/0812.0152
dc.identifierhttp://arxiv.org/abs/0812.0152
dc.identifierClass.Quant.Grav.26:065013,2009
dc.identifierdoi:10.1088/0264-9381/26/6/065013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224712
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDuality in linearized gravity and holography
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