Skip to main content
SpringerLink
Log in

Negative Λ induced by accelerated motion

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

Abstract

A correlation between accelerated motion and a noncompact 5th dimension is proposed. The curvature invariants and the stress energy tensor in the bulk depend only on the 5th dimension w and vanish asymptotically while the proper acceleration of a static observer is proportional to 1/w. The brane (located at w = w 0) metric is conformally flat (of AdS type) with Λ = −3/w 20 and the invariant acceleration \(a = \sqrt {a^b a_b } = 1/w_0\). Therefore, we assume that a hyperbolic observer with the rest-system acceleration a is embedded in the 5th dimension at w 0 = 1/a.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. Stojkovic, Rom. J. Phys. 57, 992 (2012) Vanishing dimensions: theory and phenomenology.

    Google Scholar 

  2. D. Stojkovic, Rom. J. Phys. 57, 992 (2012).

    Google Scholar 

  3. L. Anchordoqui, D.C. Dai, M. Fairbairn, G. Landsberg, D. Stojkovic, Mod. Phys. Lett. A 27, 1250021 (2012) arXiv:hep-ph/1003.5914.

    Article  ADS  Google Scholar 

  4. J. Ponce de Leon, Gen. Relativ. Gravit. 20, 539 (1988).

    Article  ADS  MathSciNet  Google Scholar 

  5. J.M. Overduin, P. Wesson, Phys. Rep. 283, 303 (1997) arXiv:gr-qc/9805018.

    Article  ADS  MathSciNet  Google Scholar 

  6. V.P. Frolov, D.V. Fursaev, D. Stojkovic, Class. Quantum Grav. 21, 3483 (2004) arXiv:gr-qc/0403054.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. K. Izumi, T.S. Shiromizu, Phys. Rev. D 90, 046005 (2014) arXiv:1402.2729 [gr-qc].

    Article  ADS  Google Scholar 

  8. E. Witten, Nucl. Phys. B 195, 481 (1982).

    Article  ADS  MATH  Google Scholar 

  9. R. Brill, M.D. Matlin, Phys. Rev. D 39, 3151 (1989).

    Article  ADS  MathSciNet  Google Scholar 

  10. S. Corley, T. Jacobson, Phys. Rev. D 49, 6261 (1994).

    Article  ADS  MathSciNet  Google Scholar 

  11. H. Culetu, arXiv:1402.3707 [gr-qc].

  12. G.R. Dvali, G. Gabadadze, M. Porrati, Phys. Lett. B 485, 208 (2000).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. T. Shiromizu, K. Maeda, M. Sasaki, Phys. Rev. D 62, 024012 (2000) arXiv:gr-qc/9910076.

    Article  ADS  MathSciNet  Google Scholar 

  14. T.S.K. Maeda, M. Sasaki, Phys. Rev. D 62, 024008 (2000) arXiv:hep-th/9912233.

    Article  ADS  MathSciNet  Google Scholar 

  15. H. Culetu, arXiv:1409.2109 [gr-qc].

  16. A.P. Billyard, W.N. Sajko, Gen. Relativ. Gravit. 33, 1929 (2001) arXiv:gr-qc/0105074.

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. D.-C. Dai, D. Stojkovic, B. Wang, C.-Y. Zhang, Phys. Rev. D 90, 064031 (2014) arXiv:1409.5139 [hep-th].

    Article  ADS  Google Scholar 

  18. P. Hao, D. Stojkovic, Phys. Rev. D 90, 024002 (2014) arXiv:1404.7145 [gr-qc].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Ovidius University, Mamaia Avenue 124, 900527, Constanta, Romania

    Hristu Culetu

Authors
  1. Hristu Culetu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hristu Culetu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Culetu, H. Negative Λ induced by accelerated motion. Eur. Phys. J. Plus 130, 65 (2015). https://doi.org/10.1140/epjp/i2015-15065-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2015-15065-9

Keywords

Search

Navigation