Manytime Hamiltonian gravitation theory
Abstract
It is shown that given any 'good' coordinate condition in Hamiltonian general relativity one can construct an associated manytime formulation in which the constraints can be solved for some of the momenta as functionals of the remaining canonical variables. Since good coordinate conditions appear to be available for both open and closed spaces it follows that the functional wave equation for general relativity can be always put in a TomonagaSchwinger form. The implications of this result and some open problems are briefly discussed.
 Publication:

Physics Letters A
 Pub Date:
 May 1975
 Bibcode:
 1975PhLA...56..376T
 Keywords:

 Coordinate Transformations;
 Gravitation Theory;
 Hamiltonian Functions;
 Relativity;
 SpaceTime Functions;
 Canonical Forms;
 Cosmology;
 Field Theory (Physics);
 Functionals;
 Hyperspaces;
 Astrophysics