Could you go into somewhat-specifics of the differences between the Kerr and Schwarzschild metrics? Such as perhaps manifestation, creation, and observations of such?
This is a great question! (and I love talking about black holes)
First off, its important to define each metric. A Kerr Black hole is rotating, therefore has angular momentum. However, a Schwarzschild Blackhole is not rotating.
Black holes in general are formed by the death of massive stars.
“If the core remaining after the supernova is very massive (more than 2.5 times the mass of the Sun), no known repulsive force inside a star can push back hard enough to prevent gravity from completely collapsing the core into a black hole.” (Hubble Reference Desk)
To determine the formation of each different metric, look at the star which created the black hole. If at its death, a star is rotating it forms a Kerr black hole, since the black hole conserves angular momentum. Whereas a star that is not rotating forms a Schwarzschild black hole.
How about observations of each black hole? Lets show that though image.
Displayed below is the simulation of a Schwarzschild black hole.
Displayed in this image, is a Kerr black hole.
While a Schwarzschild metric only includes the singularity and event horizon, the Kerr metric also includes the ergosphere an egg-shaped region of distorted space around the event horizon as well as the static limit, the boundary between the ergosphere and normal space.
To read more, and get an interactive scope on things.. visit Journey Inside a Blackhole !