Derivation of the Ten Einstein Field Equations from the Semiclassical Approximation to Quantum Geometrodynamics

Ulrich H. Gerlach
Phys. Rev. 177, 1929 – Published 25 January 1969
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Abstract

All ten Einstein field equations are derived from (a) a single equation, the Einstein-Hamilton-Jacobi equation for general relativity, and (b) the principle of constructive interference of de Broglie waves in superspace. In this derivation one obtains by introducing Tomonaga's many-time parametrization the manifestly covariant Hamiltonian equations of general relativity.

  • Received 20 September 1968

DOI:https://doi.org/10.1103/PhysRev.177.1929

©1969 American Physical Society

Authors & Affiliations

Ulrich H. Gerlach*

  • Palmer Physical Laboratory, Princeton University, Princeton, New Jersey 08540
  • Battelle Memorial Institute, Columbus, Ohio 43201

  • *Present address: Battelle Memorial Institute, Columbus, Ohio.

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Issue

Vol. 177, Iss. 5 — January 1969

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