Many-time Hamiltonian gravitation theory

Details Many-time Hamiltonian gravitation theory Many-time Hamiltonian gravitation theory

May 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975phla...56..376t&link_type=abstract

Physics Letters, vol. 56B, May 12, 1975, p. 376-378.

Physics

4

Coordinate Transformations, Gravitation Theory, Hamiltonian Functions, Relativity, Space-Time Functions, Canonical Forms, Cosmology, Field Theory (Physics), Functionals, Hyperspaces

Scientific paper

It is shown that given any 'good' coordinate condition in Hamiltonian general relativity one can construct an associated many-time 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 Tomonaga-Schwinger form. The implications of this result and some open problems are briefly discussed.

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