Null Raychaudhuri Equation and the Impossibility of Traversable Wormholes in Unimodular Gravity
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866912866235318272 |
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| author | Pastén, Erick Bosquez, Marco Cruz, Norman |
| author_facet | Pastén, Erick Bosquez, Marco Cruz, Norman |
| contents | We formulate the traversability of wormhole throats as a local and covariant null defocusing condition derived from the Raychaudhuri equation. Since unimodular gravity preserves the local geometric structure of spacetime, the null focusing properties of geodesic congruences are unchanged with respect to general relativity. We show that any genuinely traversable wormhole in unimodular gravity necessarily violates the null energy condition, establishing a local no--go theorem for wormholes supported by ordinary matter in this framework. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_00524 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Null Raychaudhuri Equation and the Impossibility of Traversable Wormholes in Unimodular Gravity Pastén, Erick Bosquez, Marco Cruz, Norman General Relativity and Quantum Cosmology We formulate the traversability of wormhole throats as a local and covariant null defocusing condition derived from the Raychaudhuri equation. Since unimodular gravity preserves the local geometric structure of spacetime, the null focusing properties of geodesic congruences are unchanged with respect to general relativity. We show that any genuinely traversable wormhole in unimodular gravity necessarily violates the null energy condition, establishing a local no--go theorem for wormholes supported by ordinary matter in this framework. |
| title | Null Raychaudhuri Equation and the Impossibility of Traversable Wormholes in Unimodular Gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.00524 |