On the Tolman-Hawking wormhole

P. F. González-Diaz
Phys. Rev. D 40, 4184 – Published 15 December 1989
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Abstract

The Tolman-Hawking wormhole a=(R2+τ2)12 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.

  • Received 6 July 1989

DOI:https://doi.org/10.1103/PhysRevD.40.4184

©1989 American Physical Society

Authors & Affiliations

P. F. González-Diaz

  • Instituto de Optica, Consejo Superior de Investigaciones Científicas, Serrano 121, 28006 Madrid, Spain

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Issue

Vol. 40, Iss. 12 — 15 December 1989

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