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Gravitation and Cosmology

, Volume 16, Issue 3, pp 216–222 | Cite as

Notes on wormhole existence in scalar-tensor and F(R) gravity

  • K. A. Bronnikov
  • M. V. Skvortsova
  • A. A. Starobinsky
Article

Abstract

Some recent papers have claimed the existence of static, spherically symmetric wormhole solutions to gravitational field equations in the absence of ghost (or phantom) degrees of freedom. We show that in some such cases the solutions in question are actually not of wormhole nature while in cases where a wormhole is obtained, the effective gravitational constant G eff is negative in some region of space, i.e., the graviton becomes a ghost. In particular, it is confirmed that there are no vacuum wormhole solutions of the Brans-Dicke theory with zero potential and the coupling constant ω > −3/2, except for the case ω = 0; in the latter case, G eff < 0 in the region beyond the throat. The same is true for wormhole solutions of F(R) gravity: special wormhole solutions are only possible if F(R) contains an extremum at which G eff changes its sign.

Keywords

Ghost Vacuum Solution Naked Singularity Jordan Frame Weak Energy Condition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • K. A. Bronnikov
    • 1
    • 2
  • M. V. Skvortsova
    • 2
  • A. A. Starobinsky
    • 3
  1. 1.Center of Gravitation and Fundamental MetrologyVNIIMSMoscowRussia
  2. 2.Institute of Gravitation and CosmologyPFURMoscowRussia
  3. 3.Landau Institute for Theoretical Physics of RASMoscowRussia

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