Dymnikova-Schwinger traversable wormholes

Abstract

In this paper, we obtain new $d$-dimensional and asymptotically flat wormhole solutions by assuming a specific form of the energy density distribution. This is addressed by considering the generalization of the so-called Dymnikova model, originally studied in the context of regular black holes. In this way, we find constraints for the involved parameters, namely, the throat radius, the scale associated to the matter distribution, and the spacetime dimension, to build those wormholes. Following, we study the properties of the obtained solutions, namely, embedding diagrams as well as Weak and Null Energy Conditions (WEC and NEC). We show that the larger the dimension, the larger the flatness of the wormhole and the more pronounced the violation of these energy conditions. We also show that the corresponding fluid behaves as phantom-like for $d\ge 4$ in the neighborhood of the wormhole throat. In addition, we specialize the employed model for $d=4$ spacetime, associating it with the gravitational analog of the Schwinger effect in a vacuum and correcting the model by introducing a minimal length via Generalized Uncertainty Principle (GUP). Thus, we obtain a novel traversable and asymptotically flat wormhole solution by considering that the minimal length is very tiny. The associated embedding diagram shows us that the presence of this fundamental quantity increases the slope of the wormhole towards its throat compared with the case without it. That correction also attenuates the WEC (and NEC) violations nearby the throat, with the fluid ceasing to be a phantom-type at the Planck scale, unlike the case without the minimal length.

18 pages

References in corpus (10)

• Modified-gravity wormholes without exotic matter
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Traversable Wormholes Supported by GUP Corrected Casimir Energy
• Graphene wormholes: A condensed matter illustration of Dirac fermions in curved space
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Regular black holes and its thermodynamics in Lovelock gravity
• Traversability of quantum improved wormhole solution
• On the traversability of wormhole solutions in asymptotically safe gravity
• Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function
• Yukawa-Casimir Wormholes

Cited by in corpus (4)

• Pure Lovelock Gravity regular black holes
• Thermodynamics and Quasinormal Modes of the Dymnikova Black Hole in Higher Dimensions
• Constructing Regular Lovelock Black Holes with degenerate vacuum and $\Lambda <0$, using the gravitational tension. Shadow analysis
• Regularized Black Hole Solution from a New String Cloud Source