On the Tolman-Hawking wormhole

Details On the Tolman-Hawking wormhole On the Tolman-Hawking wormhole

Dec 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40.4184g&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 12, 15 December 1989, pp.4184-4185

Physics

13

Scientific paper

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.

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