Nonexistence theorems for traversable wormholes

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 $\varphi V^{\prime }(\varphi )\ge 0$ and massless fermions fields.

References in corpus (3)

• Rotating traversable wormholes
• Dynamic wormholes
• Brans-Dicke wormholes endowed with torsion

Cited by in corpus (3)

• Morris-Thorne wormholes with a cosmological constant
• Semiclassical and Quantum Field Theoretic Bounds for Traversable Lorentzian Stringy Wormholes
• A proof of the Chern-Gauss-Bonnet theorem for indefinite signature metrics using analytic continuation