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arXiv · 1801.09769

Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field

Felix Willenborg·Saskia Grunau·Burkhard Kleihaus·Jutta Kunz
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Abstract

We consider a traversable wormhole solution of Einstein's gravity conformally coupled to a massless scalar field, a solution derived by Barcelo and Visser based on the JNWW spacetime. We study the geodesic motion of time-, light- and space-like particles in this spacetime. We solve the equations of motion analytically in terms of the Weierstra\ss \ functions and discuss all possible orbit types and their parameter dependence. Interestingly, bound orbits occur for time-like geodesics only in one of the two worlds. Moreover, under no conditions there exist time-like two world bound orbits.

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Felix Willenborg, Saskia Grunau, Burkhard Kleihaus, Jutta Kunz. 2018-01-29. Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field. https://doi.org/10.1103/physrevd.97.124002

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