Nonexistence theorems for traversable wormholes

Details Nonexistence theorems for traversable wormholes Nonexistence theorems for traversable wormholes

1999-05-08

arxiv.org/abs/gr-qc/9905025v1

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

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1142/S0217732399000882

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 $\phi V'(\phi) \ge 0$ and massless fermions fields.

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