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arXiv · 1406.2328

Gravitational duality, topologically massive gravity and holographic fluids

P. Marios Petropoulos
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Abstract

Self-duality in Euclidean gravitational set ups is a tool for finding remarkable geometries in four dimensions. From a holographic perspective, self-duality sets an algebraic relationship between two a priori independent boundary data: the boundary energy-momentum tensor and the boundary Cotton tensor. This relationship, which can be viewed as resulting from a topological mass term for gravity boundary dynamics, survives under the Lorentzian signature and provides a tool for generating exact bulk Einstein spaces carrying, among others, nut charge. In turn, the holographic analysis exhibits perfect-fluid-like equilibrium states and the presence of non-trivial vorticity allows to show that infinite number of transport coefficients vanish.

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P. Marios Petropoulos. 2014-06-09. Gravitational duality, topologically massive gravity and holographic fluids. https://arxiv.org/abs/1406.2328

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