Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport

Dey, Sumit; De, Shounak; Majhi, Bibhas Ranjan

doi:10.1103/physrevd.102.064003

Cited by 4 publications

(4 citation statements)

References 39 publications

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“…An analytic solution was found for a holographic heavy ion collision including longitudinal as well as elliptic flow, and vorticity [52]. In the context of the fluid/gravity correspondence, a uniformly rotating incompressible fluid [53], the Coriolis effect [54], and the diffusion constant of slowly rotating black three-branes [55] were studied.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

Garbiso,

Kaminski

2020

Preprint

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We find hydrodynamic behavior in large simply spinning five-dimensional Anti-de Sitter black holes. These are dual to spinning quantum fluids through the AdS/CFT correspondence constructed from string theory. Due to the spatial anisotropy introduced by the angular momentum in the system, hydrodynamic transport coefficients split into one group longitudinal and another transverse to the angular momentum. Analytic expressions are provided for the two shear viscosities, the longitudinal momentum diffusion coefficient, two speeds of sound, and two sound attenuation coefficients. Known relations between these coefficients are generalized to include dependence on angular momentum. The shear viscosity to entropy density ratio varies between zero and 1/(4π) depending on the direction of the shear. These results can be applied to heavy ion collisions, in which the most vortical fluid was reported recently. In passing, we show that large simply spinning five-dimensional Myers-Perry black holes are perturbatively stable for all angular momenta below extremality.

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Section: Introductionmentioning

confidence: 99%

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

Garbiso,

Kaminski

2020

Preprint

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“…It was proposed to use the average polarization of Λ hyperons to experimentally estimate the fluid vorticity in heavy-ion collisions. The global spin polarization of Λ/Λ hyperons related with vorticity was observed at RHIC [9][10][11][12] (see [13][14][15] for more details). The angular momentum J is shown to be in the range of 10 3 − 10 5 [6,7].…”

Section: Intoductionmentioning

confidence: 98%

Holographic drag force in 5d Kerr-AdS black hole

Aref’eva

Golubtsova

Gourgoulhon

2021

J. High Energ. Phys.

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We consider the 5d Kerr-AdS black hole as a gravity dual to rotating quark-gluon plasma. In the holographic prescription we calculate the drag force acting on a heavy quark. According to the holographic approach a heavy quark can be considered through the string in the gravity dual. We study the dynamics of the string for the Kerr-AdS backgrounds with one non-zero rotational parameter and two non-zero rotational parameters that are equal in magnitude. For the case of one non-zero rotational parameter we find good agreement with the prediction from the 4d case considered by arXiv:1012.3800.

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“…An analytic solution was found for a holographic heavy ion collision including longitudinal as well as elliptic flow, and vorticity [65]. In the context of the fluid/gravity correspondence, a uniformly rotating incompressible fluid [66], the Coriolis effect [67], and the diffusion constant of slowly rotating black three-branes [68] were studied. Taking the Wilsonian approach to a fluid/gravity correspondence [69], rotating black holes have been considered in [70].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

Garbiso

Kaminski

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

We find hydrodynamic behavior in large simply spinning five-dimensional Anti-de Sitter black holes. These are dual to spinning quantum fluids through the AdS/CFT correspondence constructed from string theory. Due to the spatial anisotropy introduced by the angular momentum, hydrodynamic transport coefficients are split into groups longitudinal or transverse to the angular momentum, and aligned or anti-aligned with it. Analytic expressions are provided for the two shear viscosities, the longitudinal momentum diffusion coefficient, two speeds of sound, and two sound attenuation coefficients. Known relations between these coefficients are generalized to include dependence on angular momentum. The shear viscosity to entropy density ratio varies between zero and 1/(4π) depending on the direction of the shear. These results can be applied to heavy ion collisions, in which the most vortical fluid was reported recently. In passing, we show that large simply spinning five-dimensional Myers-Perry black holes are perturbatively stable for all angular momenta below extremality.

show abstract

Gravity dual of Navier-Stokes equation in a rotating frame through parallel transport

Cited by 4 publications

References 39 publications

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

Holographic drag force in 5d Kerr-AdS black hole

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids

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