2011

Ricci solitons, Ricci flow, and strongly coupled CFT in the Schwarzschild Unruh or Boulware vacua

Figueras, Pau, Lucietti, James, Wiseman, Toby

Understand

The elliptic Einstein-DeTurck equation may be used to numerically find Einstein metrics on Riemannian manifolds.

Static Lorentzian Einstein metrics are considered by analytically continuing to Euclidean time.
Ricci-DeTurck flow is a constructive algorithm to solve this equation, and is simple to implement when the solution is a stable fixed point, the only complication being that Ricci solitons may exist which are not Einstein.
Here we extend previous work to consider the Einstein-DeTurck equation for Riemannian manifolds with boundaries, and those that continue to static Lorentzian spacetimes which are asymptotically flat, Kaluza-Klein, locally AdS or have extremal horizons.

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Then

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Original
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A. Kaus and H. S. Reall, Charged Randall-Sundrum black holes and N=4 super Yang- Mills in AdS(2)xS(2)
Original
2009
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2010
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2010
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2010
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2010
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2037
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2045
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Original
2051
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