2019AIP conference proceedingsRequires access

Uniqueness of static phantom wormhole solutions to the Einstein-Maxwell-dilaton equations

Boian Lazov, Petya Nedkova, Stoytcho S. Yazadjiev

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Abstract

We consider static traversable wormhole solutions to the Einstein-Maxwell-dilaton equations with a phantom scalar field and a possible phantom electromagnetic field. For certain asymptotic values of the lapse function and the scalar field there is a unique solution. This solution is completely determined by its asymptotic charges – mass M+, scalar charge q+ and electric charge Q̃+. The proof is based on the positive energy theorem.

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What this paper is about

We consider static traversable wormhole solutions to the Einstein-Maxwell-dilaton equations with a phantom scalar field and a possible phantom electromagnetic field. For certain asymptotic values of the lapse function and the scalar field there is a unique solution. This solution is completely determined by its asymptotic charges – mass M+, scalar charge q+ and electric charge Q̃+. The proof is based on the positive energy theorem.

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Available abstract

We consider static traversable wormhole solutions to the Einstein-Maxwell-dilaton equations with a phantom scalar field and a possible phantom electromagnetic field. For certain asymptotic values of the lapse function and the scalar field there is a unique solution. This solution is completely determined by its asymptotic charges – mass M+, scalar charge q+ and electric charge Q̃+. The proof is based on the positive energy theorem.

Key concepts: Wormhole, Scalar field, Uniqueness, Physics, Imaging phantom, Dilaton, Electromagnetic field, Scalar (mathematics)

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