Uniqueness theorem for static phantom wormholes in Einstein-Maxwell-dilaton theory

TL;DR

This paper proves a uniqueness theorem for static traversable wormholes in Einstein-Maxwell-dilaton gravity with phantom fields, showing they are characterized by mass, scalar charge, and electric charge under certain conditions.

Contribution

It establishes a new uniqueness result for phantom wormholes in Einstein-Maxwell-dilaton theory, extending previous classifications to include phantom scalar and electromagnetic fields.

Findings

Regular wormholes are uniquely determined by mass, scalar charge, and electric charge.

The proof uses the positive energy theorem on a conformally transformed space.

The result applies within a specific parameter space defined by asymptotic values.

Abstract

We prove a uniqueness theorem for traversable wormhole solutions in the Einstein-Maxwell-dilaton gravity with a phantom scalar field and a possible phantom electromagnetic field. In a certain region of the parameter space, determined by the asymptotic values of the scalar field and the lapse function, the regular wormholes are completely specified by their mass, scalar charge and electric charge. The argument is based on the positive energy theorem applied on an appropriate conformally transformed Riemannian space.