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arXiv · 1707.03654

Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory

Stoytcho Yazadjiev
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Abstract

In the present paper we prove a uniqueness theorem for the regular static, traversable wormhole solutions to the Einstein-phantom scalar field theory with two asymptotically flat regions (ends). We show that when a certain condition on the asymptotic values of the scalar field is imposed such solutions are uniquely specified by their mass $M$ and the scalar charge $D$.The main arguments in the proof are based on the positive energy theorem.

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Stoytcho Yazadjiev. 2017-07-12. Uniqueness theorem for static wormholes in Einstein-phantom scalar field theory. https://doi.org/10.1103/physrevd.96.044045

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