Traversable Lorentzian wormholes in the vacuum low energy effective string theory in Einstein and Jordan frames

K. K. Nandi and Yuan-Zhong Zhang
Phys. Rev. D 70, 044040 – Published 26 August 2004
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Abstract

Three new classes (II-IV) of solutions of the vacuum low energy effective string theory in four dimensions are derived. Wormhole solutions are investigated in those solutions including the class I case both in the Einstein and in the Jordan (string) frame. It turns out that, of the eight classes of solutions investigated (four in the Einstein frame and four in the corresponding string frame), massive Lorentzian traversable wormholes exist in five classes. Nontrivial massless limit exists only in class I Einstein frame solution while none at all exists in the string frame. An investigation of test scalar charge motion in the class I solution in the two frames is carried out by using the Plebański-Sawicki theorem. A curious consequence is that the motion around the extremal zero (Keplerian) mass configuration leads, as a result of scalar-scalar interaction, to a new hypothetical “mass” that confines test scalar charges in bound orbits, but does not interact with neutral test particles.

  • Received 11 May 2004

DOI:https://doi.org/10.1103/PhysRevD.70.044040

©2004 American Physical Society

Authors & Affiliations

K. K. Nandi*

  • Department of Mathematics, University of North Bengal, Darjeeling (W.B.) 734430, India
  • Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China

Yuan-Zhong Zhang

  • CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China
  • Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China

  • *Email address: kamalnandi@hotmail.com
  • Email address: yzhang@itp.ac.cn

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Vol. 70, Iss. 4 — 15 August 2004

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