Article

General Relativity and Gravitation

, Volume 31, Issue 4, pp 511-526

A New Look at the Ashtekar–Magnon Energy Condition

  • Jim Fischer
  • , Tevian Dray

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Abstract

In 1975, Ashtekar and Magnon showed that anenergy condition selects a unique quantization procedurefor hypersurface orthogonal observers in general, curvedspacetimes. We generalize this result in two important ways, by eliminating the need toassume a particular form for the (quantum) Hamiltonian,and by considering the surprisingly nontrivial extensionto non-minimal coupling, for which the classical Hamiltonian differs from the classical energycalculated from the stress-energy tensor.

NON-MINIMALLY COUPLED SCALAR FIELD