General Relativity and Gravitation

, Volume 31, Issue 4, pp 511–526

A New Look at the Ashtekar–Magnon Energy Condition

Authors

  • Jim Fischer
  • Tevian Dray
Article

DOI: 10.1023/A:1026694106351

Cite this article as:
Fischer, J. & Dray, T. General Relativity and Gravitation (1999) 31: 511. doi:10.1023/A:1026694106351
  • 44 Views

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
Download to read the full article text

Copyright information

© Plenum Publishing Corporation 1999