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Quantifying energy condition violations in traversable wormholes

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Abstract

The ‘theoretical’ existence of traversable Lorentzian wormholes in the classical, macroscopic world is plagued by the violation of the well-known energy conditions of general relativity. In this brief article we show: (i) how the extent of violation can be quantified using certain volume integrals and (ii) whether this ‘amount of violation’ can be minimised for some specific cut-and-paste geometric constructions. Examples and possibilities are also outlined.

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References

  1. M S Morris and K S Thorne,Am. J. Phys. 56, 395 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  2. M S Morris, K S Thorne and U Yurtsever,Phys. Rev. Lett. 61, 1446 (1988)

    Article  ADS  Google Scholar 

  3. M Visser,Lorentzian wormholes: from Einstein to Hawking (AIP Press, 1995)

  4. H Epstein, V Glaser and A Jaffe,Nuovo Cimento 36, 1016 (1965)

    Article  MathSciNet  Google Scholar 

  5. D Hochberg, A Popov and S V Sushkov,Phys. Rev. Lett. 78, 2050 (1997); arXiv: gr-qc/9701064

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. H B G Casimir,Proc. Kon. Ned. Akad. Wetensch. B51, 793 (1948)

    Google Scholar 

  7. S Lamoreaux,Phys. Rev. Lett. 78, 5 (1996)

    Article  ADS  Google Scholar 

  8. U Mohideen and A Roy,Phys. Rev. Lett. 81, 4549 (1998)

    Article  ADS  Google Scholar 

  9. L Brillouin,Wave propagation and group velocity (Academic, New York, 1960) pp. 113–137

    MATH  Google Scholar 

  10. C G B Garrett and D E McCumber,Phys. Rev. A1, 305b (1970)

    ADS  Google Scholar 

  11. L J Wang, A Kuzmich and A Dogariu,Nature 406, 277 (2000)

    Article  ADS  Google Scholar 

  12. V Veselago,Sov. Phys. Uspeki 10, 509 (1968)

    Article  ADS  Google Scholar 

  13. R A Shelby, D R Smith and S Schultz,Science,292, 77 (2001)

    Article  ADS  Google Scholar 

  14. C G Parazzoliet al, Phys. Rev. Lett. 90, 107401 (2003)

    Article  ADS  Google Scholar 

  15. A A Houck, J B Brock and I L Chuang,Phys. Rev. Lett. 90, 137401 (2003)

    Article  ADS  Google Scholar 

  16. S Perlmutter, M S Turner and M White,Phys. Rev. Lett. 83, 670 (1999)

    Article  ADS  Google Scholar 

  17. I Zlatev, L Wang and P J Steinhardt,Phys. Rev. Lett. 82, 896 (1999)

    Article  ADS  Google Scholar 

  18. C Armendariz-Picon, V Mukhanov and P J Steinhardt,Phys. Rev. Lett. 85, 4438 (2000)

    Article  ADS  Google Scholar 

  19. S Dodelson, M Kaplinghat and E Stewart,Phys. Rev. Lett. 85, 5276 (2000)

    Article  ADS  Google Scholar 

  20. L Randall and R Sundrum,Phys. Rev. Lett. 83, 4690 (1999)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  21. V Rubakov,Large and infinite extra dimensions, hep-ph/0104152

  22. L H Ford and T A Roman,Phys. Rev. D51, 4277 (1995)

    MathSciNet  ADS  Google Scholar 

  23. M J Pfenning and L H Ford,Quantum inequality restrictions on negative energy densities in curved space-times, gr-qc/9805037

  24. C Van Den Broeck,Class. Quantum Gravit. 16, 3973 (1999)

    Article  MATH  ADS  Google Scholar 

  25. A Borde, L H Ford and T A Roman,Phys. Rev. D65, 084002 (2002)

    MathSciNet  ADS  Google Scholar 

  26. L H Ford, A D Helfer and T A Roman,Phys. Rev. D66, 124012 (2002)

    MathSciNet  ADS  Google Scholar 

  27. M Visser, S Kar and N Dadhich,Phys. Rev. Lett. 90, 201102 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  28. C Barcelo and M Visser,Int. J. Mod. Phys. D11, 1553 (2002)

    MathSciNet  ADS  Google Scholar 

  29. S W Hawking and G F R Ellis,The large scale structure of spacetime (Cambridge, England, 1973)

  30. N D Birrell and P C W Davies,Quantum fields in curved space (Cambridge, England, 1982), see esp. p. 270

  31. R Schon and S T Yau,Commun. Math. Phys. 65, 45 (1979);79, 231 (1981)

    Article  ADS  Google Scholar 

  32. J L Friedman, K Schleich and D M Witt,Phys. Rev. Lett. 71, 1486 (1993); Erratum,Phys. Rev. Lett. 75, 1872 (1995); arXiv:gr-qc/9305017

    Article  MathSciNet  ADS  Google Scholar 

  33. K Schleich and D M Witt, arXiv:gr-qc/9903061

  34. G J Galloway, K Schleich, D M Witt and E Woolgar,Phys. Rev. D60, 104039 (1999); arXiv:gr-qc/9902061

    MathSciNet  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics and Centre for Theoretical Studies, Indian Institute of Technology, 721 302, Kharagpur, India

    Sayan Kar

  2. Inter-University Centre for Astronomy and Astrophysics, Ganeshkhind, Post Bag 4, 411 007, Pune, India

    Naresh Dadhich

  3. School of Mathematical and Computing Sciences, Victoria University of Wellington, New Zealand

    Matt Visser

Authors
  1. Sayan Kar
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  2. Naresh Dadhich
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  3. Matt Visser
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Kar, S., Dadhich, N. & Visser, M. Quantifying energy condition violations in traversable wormholes. Pramana - J Phys 63, 859–864 (2004). https://doi.org/10.1007/BF02705207

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