On a particular Morris - Thorne wormhole

TL;DR

This paper analyzes a specific Misner-Thorne wormhole, revealing its exotic matter requirements, energy properties, and dynamic behavior, including an expanding throat with negative surface energy density, drawing parallels to domain wall phenomena.

Contribution

It introduces a new analysis of a particular Misner-Thorne wormhole with a different equation of state, deriving its dynamic properties and energy characteristics.

Findings

The wormhole requires exotic matter with negative kinetic energy.

The Komar energy vanishes, but the ADM energy is negative and Planck-scale.

The wormhole throat expands with acceleration similar to domain walls.

Abstract

The properties of a particular Misner - Thorne wormhole are investigated. The "exotic stress-energy" needed to maintain the wormhole open corresponds to a massless scalar field whose Lagrangean density contains a negative kinetic term. While the Komar energy of the spacetime is vanishing due to the negative energy density and radial pressure, the ADM energy is (minus) the Planck energy. The timelike geodesics are hyperbolae and any static observer is inertial. The null radial trajectories are also hyperbolae and Lorentz invariant as Coleman- de Luccia expanding bubble or Ipser-Sikivie domain wall. Using a different equation of state for the fluid on the dynamic wormhole throat of Redmount and Suen, we reached an equation of motion for the throat (a hyperbola) that leads to a negative surface energy density and the throat expands with the same acceleration $2\pi |\sigma|$ as the Ipser-Sikivie domain wall.