On the Quantization of Einstein's Gravitational Field Equations

Pirani, F.A.E.; Schild, A.

doi:10.1103/PhysRev.79.986

On the Quantization of Einstein's Gravitational Field Equations

F.A.E. Pirani
(
- Carnegie Mellon U.
)
,
A. Schild
(
- Carnegie Mellon U.
)

Sep 15, 1950

5 pages

Published in:

Phys.Rev. 79 (1950) 986-991

DOI:

10.1103/PhysRev.79.986

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Abstract: (APS)

Weiss' method of quantization of field theories characterized by first-order Lagrangians can be carried out in a non-metrical "amorphous" space, as was first stated by Bergmann and Brunings. The gravitational equations can be regarded as differential equations for the field variables gμν in an amorphous space and the quantization procedure can be applied to them. The gravitational field equations are written in canonical form, the Hamiltonian being a function of generalized coordinates, momenta, and velocities. This Hamiltonian is obtained using a method developed by Dirac for Lorentz invariant theories.

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On Quantum Field Theory. (In German)

- Z.Phys. 56 (1929) 1-61,
- IN *ENZ, C.P. (ED.), V. MEYENN, K. (ED.): WOLFGANG PAULI* 307-368. (Z. PHYS. 56 (1929) 1-61)
•
DOI:
- 10.1007/BF01340129

- Phys.Rev. 73 1092

- Rev.Mod.Phys. 21 480