Hamiltonian treatment of the gravitational collapse of thin shells

Juan Crisóstomo, Rodrigo Olea
2004 Physical Review D  
A Hamiltonian treatment of the gravitational collapse of thin shells is presented. The direct integration of the canonical constraints reproduces the standard shell dynamics for a number of known cases. The formalism is applied in detail to three dimensional spacetime and the properties of the (2+1)-dimensional charged black hole collapse are further elucidated. The procedure is also extended to deal with rotating solutions in three dimensions. The general form of the equations providing the
more » ... ll dynamics implies the stability of black holes, as they cannot be converted into naked singularities by any shell collapse process.
doi:10.1103/physrevd.69.104023 fatcat:ynul4exve5fzvh7snjxjyhy2d4