  We define a completely new space-time starting from the well known
Schwarzschild Space time by defining a new polar angle $\phi '= \phi - \omega
t$ and then redefining the periodicity: instead of demanding that the original
angle be periodic, we demand that the new angle $\phi'$ be periodic, with
period $2\pi$. This defines the "topologically rotating Schwarzchild space",
which is physically different from the standard Schwarzschild space. For this
space, we work out some properties of the geodesics and related properties.This
method of generating solutions can be used also for the Reissner-Nordstrom
case, both in the case of Reissner-Nordstrom Black hole as well as in the case
where there are no horizons, the supercharged case. Horizon shall exist in this
case, but with a real singularity, not removable one by a transformation in
coordinate at the radius of the horizon of the original metric. This solution
should be used as an external solution rather than the internal one. Another
topic to notice is that the improper coordinate transformation that we consider
introduces closed time like curves.The noticeable topic is that the improper
coordinate transformation introduces closed time like curves which we can
possibly find here too. This is a common effect in rotating spacetimes,
noticeable the Godel universe and others.
