Ring wormholes and time machines

Article

Ring wormholes and time machines

Frolov V.; Krtouš P.; Zelnikov A.

Phys. Rev. D 108(2), 25 (2023)

Abstract

In the present paper we discuss properties of a model of a ring wormhole, recently proposed by Gibbons and Volkov [Phys. Rev. D 96, 024053 (2017); J. Cosmol. Astropart. Phys. 05 (2017) 039; Phys. Lett. B 760, 324 (2016)]. Such a wormhole connects two flat spacetimes which are glued through disks of the radius a bounded by the string with negative angle deficit -2 & pi;. The presence of the string's matter violating the null-energy condition makes the wormhole static and traversable. We study gravitational field of static sources in such a spacetime in the weak-field approximation. In particular, we discuss how a field of an oblate thin massive shell surrounding one of the wormhole's mouths is modified by its presence. We also obtain a solution of a similar problem when both mouths of the wormhole are located in the same space. This approximate solution is found for the case when the distance L between these mouths is much larger than the radius a of the ring. We demonstrate that the corresponding locally static gravitational field in such a multiply connected space is nonpotential. As a result of this, the proper time gap for the clock's synchronization linearly grows with time and closed timelike curves are formed. This process inevitably transforms such a traversable ring wormhole into a time machine. We estimate the timescale of this process.

Institute authors

Krtouš, Pavel

Supported by

GACR 22-14791S — Černoděrové prostoročasy v obecné dimenzi, jejich vlastnosti a interpretace

BibTeX

@article{UTF894,
  author        = {Frolov V. and Krtouš P. and Zelnikov A.},
  title         = {{Ring wormholes and time machines}},
  journal       = {Phys. Rev. D},
  volume        = {108},
  number        = {2},
  pages         = {25},
  year          = {2023},
  month         = {6},
  doi           = {10.1103/PhysRevD.108.024034},
}