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NONEXISTENCE THEOREMS FOR TRAVERSABLE WORMHOLES

1999/04/30 by Alberto Saa
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc

paper · pdf · doi:10.1142/s0217732399000882

published as Mod.Phys.Lett.A14:843-848,1999

openalex publication_date 1999/04/30 · arxiv created 1999/05/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Gauss–Bonnet formula is used to derive a new and simple theorem of nonexistence of vacuum static nonsingular Lorentzian wormholes. We also derive simple proofs for the nonexistence of Lorentzian wormhole solutions for some classes of static matter such as, for instance, real scalar fields with a generic potential obeying ϕV′(ϕ)≥0 and massless fermion fields.

Citations