On a class of stable, traversable Lorentzian wormholes in classical general relativity

C. Armendáriz-Picón

Research output: Contribution to journalArticle

Abstract

It is known that Lorentzian wormholes must be threaded by matter that violates the null energy condition. We phenomenologically characterize such exotic matter by a general class of microscopic scalar field Lagrangians and formulate the necessary conditions that the existence of Lorentzian wormholes imposes on them. Under rather general assumptions, these conditions turn out to be strongly restrictive. The most simple Lagrangian that satisfies all of them describes a minimally coupled massless scalar field with a reversed sign kinetic term. Exact, nonsingular, spherically symmetric solutions of Einstein's equations sourced by such a field indeed describe traversable wormhole geometries. These wormholes are characterized by two parameters: their mass and charge. Among them, the zero mass ones are particularly simple, allowing us to analytically prove their stability under arbitrary space-time dependent perturbations. We extend our arguments to nonzero mass solutions and conclude that at least a nonzero measure set of these solutions is stable.

Original languageEnglish (US)
Article number104010
Pages (from-to)1040101-10401010
Number of pages9360910
JournalPhysical Review D
Volume65
Issue number10
StatePublished - May 10 2002
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

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    Armendáriz-Picón, C. (2002). On a class of stable, traversable Lorentzian wormholes in classical general relativity. Physical Review D, 65(10), 1040101-10401010. [104010].