DeSitter
From GRwiki
Four-dimensional deSitter spacetime satisfies the Einstein equations in vacuum with a positive cosmological constant:
. deSitter spacetime is the surface
where
,
in the five-dimensional flat spacetime
The surface can be covered with coordinates
,
,
and
, defined
by
In these coordinates the deSitter metric is
[edit] Static coordinates
Let
The deSitter metric is
These coordinates cover only the strip
of the full manifold.
Let
and the metric becomes
[edit] Conformally flat coordinates
Let
where
. The metric is
Only the region
is covered by these coordinates.
