Schrodinger formalism, black hole horizons and singularity behavior

Understand

The Gauss-Codazzi method is used to discuss the gravitational collapse of a charged Reisner-Nordstr\"om domain wall.

• We solve the classical equations of motion of a thin charged shell moving under the influence of its own gravitational field and show that a form of cosmic censorship applies.
• If the charge of the collapsing shell is greater than its mass, then the collapse does not form a black hole.
• Instead, after reaching some minimal radius, the shell bounces back.