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Traversable Wormholes in Einstein-Dirac-Maxwell Theory.

Jose Luis Blázquez-Salcedo1,2, Christian Knoll2, Eugen Radu3

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|March 30, 2021
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This summary is machine-generated.

Researchers created traversable wormholes in Einstein-Dirac-Maxwell theory without exotic matter. These wormhole solutions are singularity-free, stable, and possess mass and electric charge, offering new insights into theoretical physics.

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Area of Science:

  • Theoretical Physics
  • General Relativity
  • Quantum Field Theory

Background:

  • Traversable wormholes are hypothetical structures connecting different points in spacetime.
  • Previous models often required exotic matter with negative energy density.
  • Einstein-Dirac-Maxwell theory unifies gravity, electromagnetism, and fermionic matter.

Purpose of the Study:

  • To construct traversable wormhole solutions within Einstein-Dirac-Maxwell theory.
  • To investigate wormhole properties without invoking exotic matter.
  • To explore the connection between these wormholes and black hole solutions.

Main Methods:

  • Constructing specific solutions in four spacetime dimensions.
  • Utilizing a model with two massive fermions in a singlet spinor state.
  • Analyzing the properties of resulting configurations for singularities and stability.

Main Results:

  • Demonstrated the existence of singularity-free, spherically symmetric, asymptotically flat wormhole configurations.
  • Showed these solutions possess finite mass and electric charge with Q_e/M > 1.
  • Established a connection to extremal Reissner-Nordström black holes via a generalized Smarr relation.
  • Reported an exact wormhole solution with massless fermions.

Conclusions:

  • Traversable wormholes can exist in Einstein-Dirac-Maxwell theory without exotic matter.
  • The constructed wormholes represent localized, stable states with specific mass-charge properties.
  • These findings offer a new perspective on wormhole physics and their relation to black holes.