Nonexistence theorems for traversable wormholes
Alberto Saa
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 fermions fields.
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