A nonsingular spacetime defect

F. R. Klinkhamer and C. Rahmede
Phys. Rev. D 89, 084064 – Published 17 April 2014

Abstract

A nonsingular localized static classical solution is constructed for standard Einstein gravity coupled to an SO(3)×SO(3) chiral model of scalars (Skyrme model). This solution corresponds to a spacetime defect and its construction proceeds in three steps. First, an Ansatz is presented for a solution with nonsimply connected topology of the spacetime manifold. Second, an exact vacuum solution of the reduced field equations is obtained. Third, matter fields are included and a particular exact solution of the reduced field equations is found. The latter solution has a diverging total energy, but its existence at least demonstrates that a nonsingular defect-type solution having nonsimply connected topology is possible with nontrivial matter fields.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 1 April 2013

DOI:https://doi.org/10.1103/PhysRevD.89.084064

© 2014 American Physical Society

Authors & Affiliations

F. R. Klinkhamer* and C. Rahmede

  • Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany

  • *frans.klinkhamer@kit.edu
  • christoph.rahmede@kit.edu

See Also

Bounds on length scales of classical spacetime foam models

S. Bernadotte and F. R. Klinkhamer
Phys. Rev. D 75, 024028 (2007)

Skyrmion spacetime defect

F. R. Klinkhamer
Phys. Rev. D 90, 024007 (2014)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 89, Iss. 8 — 15 April 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review D

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×