Geodesic motion around traversable wormholes supported by a massless conformally coupled scalar field
Felix WillenborgInstitut für Physik, Universität Oldenburg, Oldenburg D–26111, GermanySaskia GrunauInstitut für Physik, Universität Oldenburg, Oldenburg D–26111, GermanyBurkhard KleihausInstitut für Physik, Universität Oldenburg, Oldenburg D–26111, GermanyJutta KunzInstitut für Physik, Universität Oldenburg, Oldenburg D–26111, Germany
2018en
ABI
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 Janis-Newman-Winicour-Wyman spacetime. We study the geodesic motion of timelike, lightlike, and spacelike 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 timelike geodesics only in one of the two worlds. Moreover, under no conditions there exist timelike two world bound orbits.
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