Revisiting the Evolving Lorentzian Wormhole: a General Perspective

TL;DR

This paper explores evolving Lorentzian wormholes, deriving new solutions from general spherically symmetric metrics, and analyzing their physical properties and energy conditions to expand understanding of dynamic wormhole geometries.

Contribution

It introduces a general method for deriving evolving wormhole solutions from spherically symmetric metrics, applicable to various Lorentzian wormhole models.

Findings

Derived viable static wormhole solutions using Einstein's equations.

Discussed physical significance and energy conditions of evolving wormholes.

Proposed a universal method for constructing Lorentzian wormhole solutions.

Abstract

Wormholes can be described as geometrical structures in space and time that can serve as connection between distant regions of the universe. Mathematically, general wormholes can be defined both on stationary as well as on dynamic line elements. However, general relativistic and evolving Lorentzian wormholes are less studied than their static wormhole counterpart. Accordingly, in this work we shall focus on some evolving wormhole geometries. Starting from a general class of spherically symmetric line element supporting wormhole geometries, we shall use the Einstein's field equations to develop viable astatic wormhole solutions. We will also discuss various evolving wormhole solutions together with their physical significance, properties and throat energy conditions. We claim that the method discussed in this work shall be applicable for developing wormhole solutions corresponding to any general Lorentzian wormhole metric.