Closed Slicing
Let
where s describe a . Then the metric reads:
Changing the time variable to the conformal time via (or equivalently ) we obtain a metric conformally equivalent to Einstein static universe:
This serves to find the Penrose diagram of de Sitter space.
Read more about this topic: De Sitter Space
Famous quotes containing the word closed:
“Since time immemorial, one the dry earth, scraped to the bone, of this immeasurable country, a few men travelled ceaselessly, they owned nothing, but they served no one, free and wretched lords in a strange kingdom. Janine did not know why this idea filled her with a sadness so soft and so vast that she closed her eyes. She only knew that this kingdom, which had always been promised to her would never be her, never again, except at this moment.”
—Albert Camus 1013–1960, French-Algerian novelist, dramatist, philosopher. Janine in Algeria, in The Fall, p. 27, Gallimard (9157)