General Relativity and Gravitation

, Volume 36, Issue 11, pp 2549–2557

Letter: Causality Violating Geodesics in Bonnor's Rotating Dust Metric

  • Peter Collas
  • David Klein
Article

Abstract

We exhibit timelike geodesic paths for a metric, introduced by Bonnor [11] and considered also by Steadman [13], and show that coordinate time runs backward along a portion of these geodesics.

causality violations Bonnor's rotating dust metric 

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REFERENCES

  1. [1]
    Gödel, K. (1949). Rev. Modern Phys. 21, 447; reprinted in (2000) Gen. Relat. Grav. 32, 7409.Google Scholar
  2. [2]
    Tipler, F. J. (1974). Phys. Rev. D 9, 2203.Google Scholar
  3. [3]
    Carter, B. (1968). Phys. Rev. 174, 1559.Google Scholar
  4. [4]
    Bonnor, W. B. (2002). Class. Quant. Grav. 19, 5951.Google Scholar
  5. [5]
    Visser, M. (1996). Lorentzian Wormholes, Springer-Verlag, New York.Google Scholar
  6. [6]
    Chandrasekhar, S. and Wright, L. (1961). Proc. Natl. Acad. Sci. USA, 48, 341.Google Scholar
  7. [7]
    Calvani, M., de Felice, F., Muchotrzeb, B., and Salmistraro, F. (1978). Gen. Relat. Grav. 9, 155.Google Scholar
  8. [8]
    de Felice, F. and Calvani, M. (1978). Gen. Relat. Grav. 10, 335.Google Scholar
  9. [9]
    Steadman, B. R. (2003). Gen. Relat. Grav. 35, 1721.Google Scholar
  10. [10]
    van Stockum, W. J. (1937). Proc. R. Soc. Edin. 57, 135.Google Scholar
  11. [11]
    Bonnor, W. B. (1977). J. Phys. A: Math. Gen. 10, 1673.Google Scholar
  12. [12]
    Collas, P. and and Klein, D. (2004). Gen. Relat. Grav. 36, 1197.Google Scholar
  13. [13]
    Steadman, B. R. (1999). Class. Quant. Grav. 16, 3685.Google Scholar
  14. [14]
    Bonnor, W. B. (2003). Int. J. Mod. Phys. D 12, 1705.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • Peter Collas
    • 1
  • David Klein
    • 2
  1. 1.Department of Physics and AstronomyCalifornia State UniversityNorthridge, NorthridgeCalifornia
  2. 2.Department of MathematicsCalifornia State UniversityNorthridge, NorthridgeCalifornia

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