Short-Range Approximation to Casimir Wormholes Inspired by Scalar and Electric Fields

TL;DR

This paper explores static traversable wormholes supported by scalar and electric fields, incorporating Casimir energy, and derives analytical solutions showing throat size dependence on charge, with implications for exotic matter models.

Contribution

It introduces a novel analytical approach to modeling Casimir-supported wormholes with scalar and electric fields, including thermal effects for consistency.

Findings

Well-behaved wormhole solutions with throat size proportional to charge

Analytical near-throat solutions for massless and massive scalar fields

Inclusion of thermal tensor to ensure field equation consistency

Abstract

We investigate a static traversable wormhole sustained by a combination of a minimally coupled scalar field and an electric field, with exotic matter sourced by Casimir energy. Considering two scenarios, where the Casimir plate separation is either radially variable or fixed, we derive analytical near-throat solutions for both massless and massive scalar fields. To ensure consistency of the field equations, a thermal tensor is also incorporated, consisting solely of pressure terms that vanish at the throat. In all cases, we obtain well-behaved wormhole manifolds with throat sizes that scale proportionally with the number of elementary charges the wormhole can support.