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A counterexample to a Penrose inequality conjectured by Gibbons
counterexample Penrose inequality Gibbons
2011/3/3
We show that the Brill-Lindquist initial data provides a counterexample to a Riemannian Penrose inequality with charge conjectured by G. Gibbons. The observation illustrates a sub-additive characteris...
The Penrose Inequality and the Fluid/Gravity Correspondence
Penrose Inequality Fluid/Gravity Correspondence
2010/12/21
Motivated by the fluid/gravity correspondence, we consider the Penrose inequality in the frame-
work of fluid dynamics. In general relativity, the Penrose inequality relates the mass and the entropy ...
A volumetric Penrose inequality for conformally flat manifolds
volumetric Penrose inequality conformally flat manifolds
2010/12/1
We consider asymptotically flat Riemannian manifolds with nonnegative scalar curvature that are conformal to Rn \ , n 3, and so that their boundary is a minimal hypersurface.