Ellis wormhole without a phantom scalar field.

Area of Science:

• Theoretical Physics
• General Relativity
• String Theory

Background:

• Einstein-Gauss-Bonnet theory offers a framework for modified gravity.
• Wormholes are hypothetical structures connecting different points in spacetime.
• Previous wormhole solutions often required exotic matter.

Purpose of the Study:

• To find an exact solution for (3+1)-dimensional Einstein-scalar-Gauss-Bonnet theory in electrovacuum.
• To characterize the properties of the obtained solution.
• To investigate its implications for traversable wormholes.

Main Methods:

• Analytical derivation of the exact solution.
• Analysis of the solution's parameters and physical properties.
• Comparison with existing wormhole solutions.

Main Results:

• An exact solution for (3+1)-dimensional EsGB theory was found, characterized by a single parameter Q.
• The solution represents a charged wormhole with its throat at r = |Q|.
• The wormhole is supported by a real scalar field with a positive kinetic term.

Conclusions:

• The derived solution represents a novel class of charged wormholes within the EsGB framework.
• This solution demonstrates that traversable wormholes can exist without exotic matter or phantom scalar fields.
• The findings contribute to understanding the properties of wormholes in modified gravity theories.