The Riemannian Penrose inequality |
Abstract: The Penrose conjecture of general relativity (Riemannian case) states the following: in an asymptotically flat 3-manifold of nonnegative scalar curvature, the ADM mass bounds the area of each outermost minimal surface. Roughly speaking, the surface area of a black hole can be estimated by the total mass. A corollary is the positive mass theorem of Schoen and Yau.
See http://www.math.ethz.ch/~ilmanen/pub.html. |
Web page: Alexandru I. Suciu | Created: March 1, 2000 | |
Comments to: alexsuciu@neu.edu | URL: http://www.math.neu.edu/bhmn/ilmanen.html |