De Sitter Space - Closed Slicing

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:

    My old Father used to have a saying that “If you make a bad bargain, hug it the tighter”; and it occurs to me, that if the bargain you have just closed [marriage] can possibly be called a bad one, it is certainly the most pleasant one for applying that maxim to, which my fancy can, by any effort, picture.
    Abraham Lincoln (1809–1865)