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

General Relativity and Quantum Cosmology 2025-07-28 v1 High Energy Physics - Theory

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.

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Cite

@article{arxiv.2507.19134,
  title  = {Short-Range Approximation to Casimir Wormholes Inspired by Scalar and Electric Fields},
  author = {Remo Garattini and Athanasios G. Tzikas},
  journal= {arXiv preprint arXiv:2507.19134},
  year   = {2025}
}

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14 pages