Skip to main content
SpringerLink
Log in

On some applications of the Sagnac effect

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

Considering exact spacetimes representing rotating black holes and naked singularities, we study the possibility that the Sagnac effect detects i) higher dimensions, ii) rotation of black holes in higher dimension, and also, iii) distinguishes black holes from naked singularities. The results indicate that the Sagnac time delay gets affected by the presence of extra-dimension or its associated angular momentum. This time delay is also different in the spacetime of a naked singularity compared to that of a black hole. Hence, the Sagnac effect may be used as an experiment for better understanding of spacetimes with higher dimensions or those that admit naked singularities.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Data Availability

This manuscript has associated data in a data repository. [Authors’ comment: The data that support the findings of this study are available from the corresponding author, [AHZ], upon reasonable request.]

References

  1. G. Sagnac, Comptes Rendus 129, 818 (1899)

    Google Scholar 

  2. G. Sagnac, Comptes Rendus 157, 708 (1913)

    Google Scholar 

  3. H. Fizeau, Comptes Rendus 33, 349 (1851)

    Google Scholar 

  4. A. Tartaglia, Phys. Rev. D 58, 064009, 124006 (1998)

  5. G. Rizzi, M.L. Ruggiero, Relativity in Rotating Frames. Fundamental Theories of Physics, vol. 135. Springer, Dordrecht

  6. M.L. Ruggiero, Nuovo Cim. B 119, 893 (2004)

    ADS  Google Scholar 

  7. M.L. Ruggiero, Galaxies 3(2), 84–102 (2015)

    Article  ADS  Google Scholar 

  8. I. Zeylikovich, J. Malinsky, Class. Quant. Grav. 28, 155011, 124006 (2011)

  9. R.K. Karimov, R.N. Izmailov, A.A. Potapov, K.K. Nandi, Gen. Rel. Grav. 50, 44 (2018)

    Article  ADS  Google Scholar 

  10. E. Benedetto, F. Feleppa, I. Licata, H. Moradpour, C. Corda, Eur. Phys. J. C 79, 187 (2019)

    Article  ADS  Google Scholar 

  11. F. Feleppa, H. Moradpour, C. Corda, S. Aghababaei, EPL (2021). https://doi.org/10.1209/0295-5075/ac1240

    Article  Google Scholar 

  12. E. Benedetto, F. Feleppa, G. Iovane, E. Laserra, Int. J. Geo. Meth. Mod. Phys. 17, 2050128 (2020)

    Article  Google Scholar 

  13. J.J. Sakurai, Phys. Rev. D 21, 2993 (1980)

    Article  ADS  Google Scholar 

  14. M. Corman et al., arXiv:2109.08748

  15. R. Emparan, H.S. Reall, Living Rev. Relativ. 11, 6 (2008)

    Article  ADS  Google Scholar 

  16. S.A. Teukolsky, Class. Quant. Grav. 32, 124006 (2015)

  17. S. Carlip, Class. Quant. Grav. 12, 2853, 124006 (1995)

  18. R.C. Myers, M.J. Perry, Ann. Phys. 172, 304 (1986)

    Article  ADS  Google Scholar 

  19. R. Penrose, Riv. Nuovo Cimento 1, 252 (1969)

    Google Scholar 

  20. R. Penrose, Gen. Rel. Grav. 34, 1141 (2002)

    Article  ADS  Google Scholar 

  21. R. Penrose, General relativity, An Einstein Centenary Survey, in General relativity, An Einstein Centenary Survey. ed. by S.W. Hawking, W. Israel (Cambridge University Press, Cambridge, 1973)

    Google Scholar 

  22. P. S. Joshi, Gravitational Collapse and Spacetime Singularities, Cambridge Monographs on Mathematical Physics (Cambridge University Press, 2012)

  23. S.L. Shapiro, S.A. Teukolsky, Phys. Rev. L 66, 994 (1991)

    Article  ADS  Google Scholar 

  24. S.W. Hawking, R. Penrose, The Nature of Space and Time (Princeton University Press, Princeton, 2010)

  25. P.S. Joshi, I.H. Dwivedi, Phys. Rev. D 47, 5357 (1993)

    Article  ADS  Google Scholar 

  26. K.S. Virbhadra, G.F.R. Ellis, Phys. Rev. D 65, 103004 (2002)

  27. G.N. Gyulchev, S.S. Yazadjiev, Phys. Rev. D. 78, 083004 (2008)

  28. P.S. Joshi, Sci. Am. 300, 36 (2009)

    Article  Google Scholar 

  29. P.S. Joshi, D. Malafarina, R. Narayan, Class. Quant. Grav. 31, 015002 (2014)

  30. H. Liu, M. Zhou, C. Bambi, JCAP 08, 044 (2018)

    Article  ADS  Google Scholar 

  31. R. Shaikh, P.S. Joshi, JCAP 10, 064 (2019)

    Article  ADS  Google Scholar 

  32. H. Zhang, Sci. Rep. 7, 4000 (2017)

    Article  ADS  Google Scholar 

  33. A. Tartaglia, Adv. Space Res. 66, 2757 (2020)

    Article  ADS  Google Scholar 

  34. G.N. Gyulchev, S.S. Yazadjiev, Phys. Rev. D. 78, 083004 (2008)

  35. K.S. Virbhadra, Int. J. Mod. Phys. A 12, 4831 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  36. K.S. Virbhadra, S. Jhingan, P.S. Joshi, Int. J. Mod. Phys. D 6, 357 (1997)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

V.B.B. is partially supported by the National Council for Scientific and Technological Development – CNPq (Brazil), through the Research Project No. 307211/2020-7. This paper is published as part of a research project supported by the University of Maragheh Research Affairs Office.

Author information

Authors and Affiliations

  1. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), University of Maragheh, P. O. Box 55136-553, Maragheh, Iran

    A. H. Ziaie & H. Moradpour

  2. Departamento de Física, CCEN - Universidade Federal da Paraíba; C.P. 5008, CEP 58.051-970, João Pessoa, PB, Brasil

    V. B. Bezerra

  3. Department of Mathematics, COMSATS University Islamabad, Lahore-Campus, Lahore, 54000, Pakistan

    A. Jawad

Authors
  1. A. H. Ziaie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Moradpour
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. B. Bezerra
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Jawad
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. H. Ziaie.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ziaie, A.H., Moradpour, H., Bezerra, V.B. et al. On some applications of the Sagnac effect. Eur. Phys. J. Plus 137, 628 (2022). https://doi.org/10.1140/epjp/s13360-022-02844-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-022-02844-y

Search

Navigation