The scalar--Maxwell--$Λ(x)$ system: Wormhole spacetimes without nonlinear electrodynamics in unimodular gravity
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911618112159744 |
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| author | Alencar, G. Crispim, T. M. |
| author_facet | Alencar, G. Crispim, T. M. |
| contents | In General Relativity, constructing exact traversable wormholes coupled to electromagnetic fields typically requires complex Non-Linear Electrodynamics (NED). We demonstrate that Unimodular Gravity (UG) elegantly resolves this limitation. By relaxing energy-momentum conservation, UG introduces a dynamical cosmological term, $Λ(x)$, enabling a semi-classical energy exchange between matter and the vacuum. Exploiting this mechanism, we construct exact Scalar-Maxwell-$Λ(x)$ wormholes. We show that, provided the shape function $b(r)$ satisfies specific geometric conditions, these exact spacetimes can be fully supported by a phantom scalar field and standard linear Maxwell electrodynamics. This approach entirely bypasses NED, highlighting UG as a powerful framework for modeling non-trivial topologies with simplified, well-understood classical fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_30003 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The scalar--Maxwell--$Λ(x)$ system: Wormhole spacetimes without nonlinear electrodynamics in unimodular gravity Alencar, G. Crispim, T. M. General Relativity and Quantum Cosmology High Energy Physics - Theory In General Relativity, constructing exact traversable wormholes coupled to electromagnetic fields typically requires complex Non-Linear Electrodynamics (NED). We demonstrate that Unimodular Gravity (UG) elegantly resolves this limitation. By relaxing energy-momentum conservation, UG introduces a dynamical cosmological term, $Λ(x)$, enabling a semi-classical energy exchange between matter and the vacuum. Exploiting this mechanism, we construct exact Scalar-Maxwell-$Λ(x)$ wormholes. We show that, provided the shape function $b(r)$ satisfies specific geometric conditions, these exact spacetimes can be fully supported by a phantom scalar field and standard linear Maxwell electrodynamics. This approach entirely bypasses NED, highlighting UG as a powerful framework for modeling non-trivial topologies with simplified, well-understood classical fields. |
| title | The scalar--Maxwell--$Λ(x)$ system: Wormhole spacetimes without nonlinear electrodynamics in unimodular gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.30003 |