Relation between the simple, guessed, and the complicated, derived, super-Hamiltonians for shell dynamics

Preprint
Publisher Website
Google Scholar
  • 3 April 1998
Abstract
The Hamiltonian dynamics of spherically symmetric massive thin shells in the general relativity is studied. Two different constraint dynamical systems representing this dynamics have been described recently; the relation of these two systems is investigated. The symmetry groups of both systems are found. New variables are used, which among other things simplify the complicated system a great deal. The systems are reduced to presymplectic manifolds S_1 and S_2, lest non-physical aspects like gauge fixings or embeddings in extended phase spaces complicate the line of reasoning. The following facts are shown. S_1 is three- and S_2 is five-dimensional; the description of the shell dynamics by S_1 is incomplete so that some measurable properties of the shell cannot be predicted. S_1 is locally equivalent to a subsystem of S_2 and the corresponding local morphisms are not unique, due to the large symmetry group of S_2. Some consequences for the recent extensions of the shell dynamics through the singularity are discussed.

This publication has 0 references indexed in Scilit: