65-Terbium

Boundary terms and their hamiltonian dynamics

“…This solves one paradox which arises in understanding the result obtained for asymptotically flat spaces in the canonical General Relativity. It is shown [7,8] that (18) then we will get zero result due to the closed constraint algebra of the General Relativity. The third step in our revision of the Poisson bracket formula is dictated by purely mathematical reasons.…”

“…However, these cases do not cover all types of the physically interesting boundary behaviour. Often one has to deal with a slow decay of the gauge or gravitational fields at spatial infinity [7,8], with nonperiodical boundary conditions for a media moving in a finite domain [9] or for integrable models [10][11][12]. Can we still use the Hamiltonian approach in such cases?…”