Kantowski–Sachs metric explained
In general relativity the Kantowski-Sachs metric (named after Ronald Kantowski and Rainer K. Sachs)[1] describes a homogeneous but anisotropic universe whose spatial section has the topology of
. The metric is:
ds2=-dt2+e2\sqrt{Λt}dz2+
(d\theta2+\sin2\thetad\phi2)
The
isometry group of this spacetime is
. Remarkably, the isometry group does not act simply transitively on spacetime, nor does it possess a subgroup with simple transitive action.
See also
Notes and References
- Kantowski, R.. Sachs, R. K.. amp . Some spatially inhomogeneous dust models . J. Math. Phys. . 1966 . 7 . 443 . 10.1063/1.1704952. 1966JMP.....7..443K . 3 .
