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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.