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Phys. Rev. D 8, 3247–3252 (1973)

Hamiltonian Treatment of the Complete Vacuum Schwarzschild Geometry

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Fernando Lund*
Joseph Henry Laboratories, Princeton University, Princeton, New Jersey 08540

Received 19 March 1973; published in the issue dated 15 November 1973

The complete vacuum Schwarzschild geometry is considered in its Hamiltonian form. There exists no canonical transformation that will make the constraints linear in the momentum canonically conjugate to the new time label. Consequently, no classical field exists such that its quantization on a flat background will be equivalent to the quantization of this geometry. A particular slicing shows that there are no true dynamical degrees of freedom even inside the horizon.

© 1973 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.8.3247
DOI:
10.1103/PhysRevD.8.3247
PACS:

*On leave from Facultad de Ciencias, Universidad de Chile, Santiago, Chile. Supported by the Organization of American States.