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.