Gravitational Duality, Topologically Massive Gravity and Holographic Fluids

Petropoulos, P. Marios

doi:10.1007/978-3-319-10070-8_13

Cited by 12 publications

(15 citation statements)

References 104 publications

(194 reference statements)

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“…For a long time, all the work on fluid/gravity correspondence was confined to asymptotically globally AdS spacetimes, hence to holographic boundary fluids that flow on conformally flat backgrounds. In a series of works [9][10][11][12][13][14] we have extended the fluid/gravity correspondence into the realm of asymptotically locally AdS 4 spacetimes. In the following, we present and summarize our salient findings.…”

Section: The Derivative Expansion the Spiritmentioning

confidence: 99%

“…Although less robust mathematically, the derivative expansion has several advantages over Fefferman-Graham. Firstly, under some particular conditions it can be resummed leading to algebraically special Einstein spacetimes in a closed form [9][10][11][12][13][14]. Such a resummation is very unlikely, if at all possible, in the context of Fefferman-Graham.…”

Section: Introductionmentioning

confidence: 99%

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Flat holography and Carrollian fluids

Ciambelli

Marteau

Petkou

et al. 2018

J. High Energ. Phys.

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126

149

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We show that a holographic description of four-dimensional asymptotically locally flat spacetimes is reached smoothly from the zero-cosmological-constant limit of anti-de Sitter holography. To this end, we use the derivative expansion of fluid/gravity correspondence. From the boundary perspective, the vanishing of the bulk cosmological constant appears as the zero velocity of light limit. This sets how Carrollian geometry emerges in flat holography. The new boundary data are a two-dimensional spatial surface, identified with the null infinity of the bulk Ricci-flat spacetime, accompanied with a Carrollian time and equipped with a Carrollian structure, plus the dynamical observables of a conformal Carrollian fluid. These are the energy, the viscous stress tensors and the heat currents, whereas the Carrollian geometry is gathered by a two-dimensional spatial metric, a frame connection and a scale factor. The reconstruction of Ricci-flat spacetimes from Carrollian boundary data is conducted with a flat derivative expansion, resummed in a closed form in Eddington-Finkelstein gauge under further integrability conditions inherited from the ancestor anti-de Sitter set-up. These conditions are hinged on a duality relationship among fluid friction tensors and Cotton-like geometric data. We illustrate these results in the case of conformal Carrollian perfect fluids and Robinson-Trautman viscous hydrodynamics. The former are dual to the asymptotically flat Kerr-Taub-NUT family, while the latter leads to the homonymous class of algebraically special Ricci-flat spacetimes.

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Section: The Derivative Expansion the Spiritmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Flat holography and Carrollian fluids

Ciambelli

Marteau

Petkou

et al. 2018

J. High Energ. Phys.

Self Cite

126

149

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“…11 Keeping the radiation component opens the field of general magnetohydrodynamics -see [32] for a related discussion, and [33] for a more general perspective. 12 In our case, due to the absence of shear, vorticity and acceleration, the velocity derivatives are expressed only in terms of derivatives of the expansion, as for example:…”

Section: The Hydrodynamic Frame and The Fluid Transport Datamentioning

confidence: 99%

The Robinson–Trautman spacetime and its holographic fluid

Ciambelli¹,

Petkou²,

Petropoulos³

et al. 2017

Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)

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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 dualholographic-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 rôle 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.

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“…The purpose of this note is to report on recent progress [27][28][29][30][31] (see also Ref. [32]) made in using holographic fluids for understanding integrable corners of Einstein's equations.…”

Section: Pos(planck 2015)104mentioning

confidence: 99%

“…[27][28][29][30][31], and we will here review the results. From a mathematical viewpoint the related filling-in problem was studied long ago, and has been a guide in our approach.…”

Section: Holographic Integrability 21 the Derivative Expansion And Tmentioning

confidence: 99%