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- W4300308908 abstract "We discuss the holographic reconstruction of four-dimensional asymptotically anti-de Sitter Robinson-Trautman spacetime from boundary data. We use for that a resummed version of the derivative expansion. The latter involves a vector field, which is interpreted as the dual-holographic-fluid velocity field and is naturally defined in the Eckart frame. In this frame the analysis of the non-perfect holographic energy-momentum tensor is considerably simplified. The Robinson-Trautman fluid is at rest and its time evolution is a heat-diffusion kind of phenomenon: the Robinson-Trautman equation plays the r^ole of heat equation, and the heat current is identified with the gradient of the extrinsic curvature of the two-dimensional boundary spatial section hosting the conformal fluid, interpreted as an out-of-equilibrium kinematical temperature. The hydrodynamic-frame-independent entropy current is conserved for vanishing chemical potential, and the evolution of the fluid resembles a Moutier thermodynamic path. We finally comment on the general transformation rules for moving to the Landau-Lifshitz frame, and on possible drawbacks of this option." @default.
- W4300308908 created "2022-10-03" @default.
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- W4300308908 date "2017-07-10" @default.
- W4300308908 modified "2023-10-17" @default.
- W4300308908 title "The Robinson-Trautman spacetime and its holographic fluid" @default.
- W4300308908 doi "https://doi.org/10.48550/arxiv.1707.02995" @default.
- W4300308908 hasPublicationYear "2017" @default.
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