The Hamiltonian Constraint in the Teleparallel Equivalent of General Relativity

Details The Hamiltonian Constraint in the Teleparallel Equivalent of General Relativity The Hamiltonian Constraint in the Teleparallel Equivalent of General Relativity

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28.1361m&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 11, pp.1361-1376

Mathematics

Metric Geometry

6

Scientific paper

In the teleparallel equivalent of general relativity the integral form of the Hamiltonian constraint contains explicitly the adm energy in the case of asymptotically flat space-times. We show that such expression of the constraint leads to a natural and straightforward construction of a Schrödinger equation for time-dependent physical states. The quantized Hamiltonian constraint is thus written as an energy eigenvalue equation. We further analyse the constraint equations in the case of a space-time endowed with a spherically symmetric geometry. We find the general functional form of the time-dependent solutions of the quantized Hamiltonian and vector constraints.

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