Phantom wormholes in Einstein-Maxwell-dilaton theory

Abstract

In this paper we give an electrically charged traversable wormhole solution for the Einstein-Maxwell-dilaton theory when the dilaton is a phantom field, i.e. it has flipped sign kinetic term appearing in the action. In the limit when the charge is zero, we recover the anti-Fisher solution, which can be reduced to the Bronnikov-Ellis solution under certain choices of integration constants. The equations of motion of this theory share the same S-duality invariance of string theory, so the electrically charged solution is rotated into the magnetically charged one by applying such transformations. The scalar field is topological, so we compute its topological charge, and discuss that under appropriate boundary conditions we can have a lump, a kink, or an anti-kink profile. We determine the position of the throat, and show the embedding diagram of the wormhole. As a physical application, we apply the Gauss-Bonnet theorem to compute the deflection angle of a light-ray that passes close to the wormhole.

v3: Solution and deflection angle written in terms of asymptotic charges. Matches the published version, Classical and Quantum Gravity (2017)

References in corpus (5)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Phantom Black Holes in Einstein-Maxwell-Dilaton Theory
• Ghost D-branes
• Deflection Angle of Light by Wormholes using the Gauss-Bonnet Theorem
• Wormhole solutions in the presence of nonlinear Maxwell field

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• Finite-distance gravitational deflection of massive particles by the Kerr-like black hole in the bumblebee gravity model
• Circular orbit of a particle and weak gravitational lensing
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Effect of the dilaton field and plasma medium on deflection angle by black holes in Einstein-Maxwell-dilaton-axion theory
• High energy particle collisions in static, spherically symmetric black-hole-like wormholes
• Classification of static black holes in Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems
• Static axionlike dark matter clouds around magnetized rotating wormholes -- probe limit case
• Uniqueness of electrically and magnetically charged phantom wormholes
• Charged wormholes supported by 2-fluid immiscible matter particles