Black Hole Uniqueness
In four dimensions, Hawking proved that the topology of the event horizon of a non-rotating black hole must be spherical. Because the proof uses the Gauss-Bonnet theorem, it does not generalize to higher dimensions. The discovery of black ring solutions in five dimensions shows that other topologies are allowed in higher dimensions, but it is unclear precisely which topologies are allowed. It has been shown that the horizon must be of positive Yamabe type, meaning that it must admit a metric of positive scalar curvature.
Read more about this topic: Higher-dimensional Einstein Gravity
Famous quotes containing the words black, hole and/or uniqueness:
“Some burn damp faggots, others may consume
The entire combustible world in one small room
As though dried straw, and if we turn about
The bare chimney is gone black out
Because the work had finished in that flare.”
—William Butler Yeats (1865–1939)
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—Administration in the State of Sout, U.S. public relief program (1935-1943)
“Somehow we have been taught to believe that the experiences of girls and women are not important in the study and understanding of human behavior. If we know men, then we know all of humankind. These prevalent cultural attitudes totally deny the uniqueness of the female experience, limiting the development of girls and women and depriving a needy world of the gifts, talents, and resources our daughters have to offer.”
—Jeanne Elium (20th century)