Yukawa-Casimir Wormholes

TL;DR

This paper explores Yukawa modifications to Casimir wormholes, analyzing their shape functions and energy conditions under zero tidal forces, and discusses connections to traversable wormholes.

Contribution

It introduces a Yukawa-modified Casimir wormhole model with multiple approaches to shape functions and energy sources, expanding theoretical understanding.

Findings

Yukawa modifications affect wormhole shape functions.

Zero tidal forces are imposed in the models.

Connections to traversable wormholes are discussed.

Abstract

In this work, we consider a Yukawa modification of the Casimir wormhole. With the help of an Equation of State, we impose Zero Tidal Forces. We will examine two different approaches: in a first approach, we will fix the form of the shape function of the Casimir wormholes modified by a Yukawa term in three different ways and finally a superposition of different profiles. In the second approach, we will consider the original Casimir source modified by a Yukawa term in three different ways and we will deduce the form of the shape function In both the approaches the reference energy density will be that of the Casimir source. Connection with the Absurdly Benign Traversable Wormhole are also discussed.