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

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arxiv 1707.03654 v1 pith:ROTJORI7 submitted 2017-07-12 gr-qc

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

classification gr-qc
keywords scalarfieldtheoremeinstein-phantomsolutionsstatictheoryuniqueness
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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