Michael Mikkelsen
Some results on standard static space-times with perfect fluid
Abstract: For a Standard Static Space-Time $\Bbb I_f\times H^n$ with perfect
fluid it is known that the restspaces $H^n$ can be Einstein Spaces.
It is not known whether there are other complete $H^n$ with constant,
non-negative scalar curvature, but here we show that these are not to
be found among Riemannian warped products $H^n=I \times_g F^{n-1}$
if $f$ depends on $I$ only.
Keywords: Static Space-Times, Perfect Fluid.
MS classification: 53C20, 53C50, 83C05.