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Phys. Rev. D 40, 4184–4185 (1989)

On the Tolman-Hawking wormhole

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P. F. González-Diaz
Instituto de Optica, Consejo Superior de Investigaciones Científicas, Serrano 121, 28006 Madrid, Spain

Received 6 July 1989; published in the issue dated 15 December 1989

The Tolman-Hawking wormhole a=(R2+τ2)1/2 can be obtained as a solution of the Einstein equations with a conformally coupled scalar field. However, this procedure gives rise to negative values of the effective gravitational constant. Working in a pure-gravity minisuperspace isotropic model, I propose a much simpler method to obtain this instanton based on the introduction of a cutoff in the scale factor which is equivalent to introducing a three-sphere with minimum constant radius in the Euclidean metric. The resulting wormhole model no longer has any negative effective gravitational constant.

© 1989 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.40.4184
DOI:
10.1103/PhysRevD.40.4184
PACS: