Nonminimal coupling for the gravitational and electromagnetic fields: Traversable electric wormholes

Abstract

We discuss new exact solutions of a three-parameter nonminimal Einstein-Maxwell model. The solutions describe static spherically symmetric objects with and without center, supported by an electric field nonminimally coupled to gravity. We focus on a unique one-parameter model, which admits an exact solution for a traversable electrically charged wormhole connecting two universes, one asymptotically flat the other asymptotically de Sitter ones. The relation between the asymptotic mass and charge of the wormhole and its throat radius is analyzed. The wormhole solution found is thus a nonminimal realization of the idea of Wheeler about charge without charge and shows that, if the world is somehow nonminimal in the coupling of gravity to electromagnetism, then wormhole appearance, or perhaps construction, is possible.

15 pages, 9 figures

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Cited by in corpus (35)

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• Notes on wormhole existence in scalar-tensor and F(R) gravity
• Passage of radiation through wormholes of arbitrary shape
• Asymptotically (anti) de Sitter Black Holes and Wormholes with a Self Interacting Scalar Field in Four Dimensions
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• Static spherically symmetric wormholes in $f(Q,T)$ gravity
• Effects of Thermal Fluctuations on Non-minimal Regular Magnetic Black Hole
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Non-minimal $\ln (R)F^2$ Couplings of Electromagnetic Fields to Gravity: Static, Spherically Symmetric Solutions
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• Electrodynamics of a Cosmic Dark Fluid
• Hairy Wormholes and Bartnik-McKinnon Solutions
• Traversable wormholes with double layer thin shells in quadratic gravity
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• Effects of an Electric Charge on Casimir Wormholes: Changing the Throat Size
• Einstein-Maxwell-axion theory: Dyon solution with regular electric field
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