Real Tunneling Solutions and the Hartle-Hawking Wave Function

Preprint

8 January 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9301006

Abstract

A real tunneling solution is an instanton for the Hartle-Hawking path integral with vanishing extrinsic curvature (vanishing ``momentum'') at the boundary. Since the final momentum is fixed, its conjugate cannot be specified freely; consequently, such an instanton will contribute to the wave function at only one or a few isolated spatial geometries. I show that these geometries are the extrema of the Hartle-Hawking wave function in the semiclassical approximation, and provide some evidence that with a suitable choice of time parameter, these extrema are the maxima of the wave function at a fixed time.

Keywords

HAWKING WAVE FUNCTION
TUNNELING SOLUTIONS
HARTLE HAWKING WAVE
REAL TUNNELING
WAVE FUNCTION

All Related Versions

Version 1, 1993-01-08, ArXiv
Published version: Classical and Quantum Gravity, 10 (6), 1057.

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