# Geodesics in the Morris-Thorne Wormhole Spacetime

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The simplest wormhole geometry is given by the line element , see [2]. The parameter defines the size of the throat of the wormhole, and represents the proper length radius.

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Contributed by: Thomas Müller (July 2010)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A detailed discussion about analytic geodesics in the Morris–Thorne wormhole spacetime can be found in [1].

The metric described in [2] was first mentioned in [3]. Hence, it should be called Ellis wormhole instead. See also the apology in [4], Ref. 14.

References

[1] T. Müller, "Exact Geometric Optics in a Morris–Thorne Wormhole Spacetime," *Physical Review D*, 77(4) 2008. doi: 10.1103/PhysRevD.77.044043.

[2] M. S. Morris and K. S. Thorne, "Wormholes in Spacetime and Their Use for Interstellar Travel: A Tool for Teaching General Relativity," *American Journal of Physics*, 56(5), 1988 pp. 395–412.

[3] H. G. Ellis, "Ether Flow through a Drainhole: A Particle Model in General Relativity," *Journal of Mathematical Physics*, 14, 1973 pp. 104–118; 1974 Errata: 15, p. 520.

[4] O. James, E. von Tunzelmann, P. Franklin, and K. S. Thorne, "Visualizing Interstellar's Wormhole," *American Journal of Physics* 83, 2015 pp. 483–499.

## Permanent Citation

"Geodesics in the Morris-Thorne Wormhole Spacetime"

http://demonstrations.wolfram.com/GeodesicsInTheMorrisThorneWormholeSpacetime/

Wolfram Demonstrations Project

Published: July 15 2010