The Hamiltonian constraint in the teleparallel equivalent of general relativity |
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Authors: | José W Maluf |
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Institution: | (1) Universidade de Brasília, O.P. 04385, 70.919-970 Brasília DF, Brazil |
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Abstract: | In the teleparallel equivalent of general relativity the integral form of the Hamiltonian constraint contains explicitly theadm 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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Keywords: | adm-Hamiltonian constraint" target="_blank">Quantization ofadm-Hamiltonian constraint |
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