d*****g
发帖数: 1616 | 1 http://arxiv.org/abs/1101.2451
The near-horizon expansion in gravity is shown to be mathematically
equivalent to the hydrodynamic expansion in fluid dynamics, and the Einstein
equation reduces to the incompressible Navier-Stokes equation. For $p=2$,
we show that the full dual geometry is algebraically special Petrov type II.
The construction is a mathematically precise realization of suggestions of
a holographic duality relating fluids and horizons which began with the
membrane paradigm in the 70's and resurfaced recently in studies of the AdS/
CFT correspondence. | C********n
发帖数: 6682 | 2 有意思
Einstein
II.
of
AdS/
【在 d*****g 的大作中提到】
: http://arxiv.org/abs/1101.2451
: The near-horizon expansion in gravity is shown to be mathematically
: equivalent to the hydrodynamic expansion in fluid dynamics, and the Einstein
: equation reduces to the incompressible Navier-Stokes equation. For $p=2$,
: we show that the full dual geometry is algebraically special Petrov type II.
: The construction is a mathematically precise realization of suggestions of
: a holographic duality relating fluids and horizons which began with the
: membrane paradigm in the 70's and resurfaced recently in studies of the AdS/
: CFT correspondence.
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