Traversable wormholes and classical scalar fields

Luke M. Butcher

Research output: Contribution to journalArticlepeer-review

Abstract

I prove that general relativity admits no asymptotically well-behaved static spherically symmetric traversable wormholes supported by classical scalar fields and nonexotic matter. The theorem holds for all values of the scalar field curvature coupling parameter xi, even though fields with xi > 0 are capable of violating the average null energy condition. Good asymptotic behavior (the effective Newton's constant being positive and finite at both ends of the wormhole) can only be achieved by introducing additional exotic matter, which must itself violate the null energy condition over some region of nonzero volume. These results are insensitive to the number of scalar fields, the form of their potentials, and the coupling between the fields and the additional matter.

Original languageEnglish
Article number124031
Number of pages7
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume91
Issue number12
DOIs
Publication statusPublished - 10 Jun 2015

Keywords

  • ENERGY CONDITIONS
  • SPACETIME
  • TENSOR
  • INEQUALITIES
  • GRAVITY

Cite this