A. Borowiec et Vi. Smirichinski, Reparametrization-invariant Hamiltonian formalism in the general theory ofrelativity, PHYS ATOM N, 64(2), 2001, pp. 354-363
A method is proposed that is appropriate for resolving the Hamiltonian cons
traint and which leads to a reparametrization-invariant reduced theory spec
ified by a well-defined nonzero local Hamiltonian. This method is based on
introducing a global (dependent only on time) conformal variable. The physi
cal and geometric meaning of the variables in the reduced action functional
is investigated. It is shown that, within the theory, the method of small
perturbations is self-consistent. It is demonstrated that, in the theory of
gravity, there are no wavelike excitations that make a negative contributi
on to the Hamiltonian. From an analysis of the reduced classical theory in
the linear approximation, it follows that, at the first instants from the b
irth of the Universe, the extremely rigid equation of state appeared to be
the effective equation of the state of gravity matter. (C) 2001 MAIK "Nauka
/Interperiodica".