Built on

H. Bondi, M. G. van der Burg, and A. W. Metzner, Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated systems,
1962
Earlier work this paper cites.
R. K. Sachs, Asymptotic symmetries in gravitational theories,
1962
Earlier work this paper cites.
L. D. Landau et E. M. Lifchitz, Physique Théorique
1969
Earlier work this paper cites.
R. M. Wald, General relativity
1984
Earlier work this paper cites.
C. Fefferman and C. R. Graham, Conformal invariants
1985
Earlier work this paper cites.
M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space–time
1992
Earlier work this paper cites.
M. Bañados, Global charges in Chern-Simons field theory and the (2+1) black hole
1996
Earlier work this paper cites.
M. Bañados, Three-dimensional quantum geometry and black holes
1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity
1999
Earlier work this paper cites.
K. Skenderis and S. N. Solodukhin, Quantum effective action from the AdS/CFT correspondence
2000
Earlier work this paper cites.
G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges
2002
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity,
Original
2008
Earlier work this paper cites.
M. Haack and A. Yarom, Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT,
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla and A. Sharma, Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions
Original
2008
Earlier work this paper cites.
G. Barnich and G. Compère, Surface charge algebra in gauge theories and thermodynamic integrability
Original
2008
Earlier work this paper cites.

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C. Duval, G. W. Gibbons, P. A. Horvathy and P. M. Zhang, Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time,
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P. M. Petropoulos, Gravitational duality, topologically massive gravity and holographic fluids
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R. Banerjee, S. Dey and B. R. Majhi, Entropy current in two dimensional anomalous hydrodynamics and a bound on the sum of the response parameters
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2018

Two-dimensional fluids and their holographic duals

Campoleoni, Andrea, Ciambelli, Luca, Marteau, Charles et al.

Understand

We describe the dynamics of two-dimensional relativistic and Carrollian fluids.

These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively.
To this end, we use Eddington-Finkelstein coordinates, and grant general curved two-dimensional geometries as hosts for hydrodynamics.
This requires to handle the conformal anomaly, and the expressions obtained for the reconstructed bulk metrics incorporate non-conformal-fluid data.

Built on

H. Bondi, M. G. van der Burg, and A. W. Metzner, Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated systems,
1962
Earlier work this paper cites.
R. K. Sachs, Asymptotic symmetries in gravitational theories,
1962
Earlier work this paper cites.
L. D. Landau et E. M. Lifchitz, Physique Théorique
1969
Earlier work this paper cites.
R. M. Wald, General relativity
1984
Earlier work this paper cites.
C. Fefferman and C. R. Graham, Conformal invariants
1985
Earlier work this paper cites.
M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space–time
1992
Earlier work this paper cites.
M. Bañados, Global charges in Chern-Simons field theory and the (2+1) black hole
1996
Earlier work this paper cites.
M. Bañados, Three-dimensional quantum geometry and black holes
1999
Earlier work this paper cites.
V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity
1999
Earlier work this paper cites.
K. Skenderis and S. N. Solodukhin, Quantum effective action from the AdS/CFT correspondence
2000
Earlier work this paper cites.
G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges
2002
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla and M. Rangamani, Nonlinear fluid dynamics from gravity,
Original
2008
Earlier work this paper cites.
M. Haack and A. Yarom, Nonlinear viscous hydrodynamics in various dimensions using AdS/CFT,
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla and A. Sharma, Conformal nonlinear fluid dynamics from gravity in arbitrary dimensions
Original
2008
Earlier work this paper cites.
G. Barnich and G. Compère, Surface charge algebra in gauge theories and thermodynamic integrability
Original
2008
Earlier work this paper cites.