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Astrophysics

, Volume 61, Issue 3, pp 375–390 | Cite as

Induced Cosmological Constant in Brane Models with a Compact Dimension

  • A. A. Saharian
  • H. G. Sargsyan
Article
  • 9 Downloads

The vacuum expectation value of the surface energy-momentum tensor of a charged scalar field on a flat brane in an anti-de Sitter space-time with a compact spatial dimension is studied. The existence of a constant gauge field is also assumed. Because of the nontrivial topology of the space, the latter leads to an Aharonov-Bohm type effect. A generalized zeta-function method is used for renormalizing the vacuum expectation value. The cosmological constant induced on the brane is a periodic function of the magnetic flux through the compact dimension and, depending on the parameters of the problem, can be either positive or negative.

Keywords

cosmological constant brane models anti-de Sitter space 

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References

  1. 1.
    R. Maartens and K. Koyama, Living Rev. Relativity 13, 5 (2010).ADSCrossRefGoogle Scholar
  2. 2.
    V. M. Mostepanenko and N. N. Trunov, The Casimir Effect and its Applications, Clarendon, Oxford (1997).Google Scholar
  3. 3.
    K. A. Milton, The Casimir Effect: Physical Manifestation of Zero-Point Energy, World Scientific, Singapore (2002).Google Scholar
  4. 4.
    M. Bordag, G. L. Klimchitskaya, U. Mohideen, et al., Advances in the Casimir Effect, Oxford University Press, Oxford (2009).CrossRefzbMATHGoogle Scholar
  5. 5.
    D. Dalvit, P. Milonni, D. Roberts, and F. da Rosa, ed., Casimir Physics, Lecture Notes in Physics 834, Springer-Verlag, Berlin (2011).Google Scholar
  6. 6.
    E. R. Bezerra de Mello, A. A. Saharian, and M. R. Setare, Phys. Rev. D 92, 104005 (2015).ADSMathSciNetCrossRefGoogle Scholar
  7. 7.
    A. A. Saharian and M. R. Setare, Phys. Lett. B 552, 119 (2003).ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    A. Knapman and D. J. Toms, Phys. Rev. D 69, 044023 (2004).ADSMathSciNetCrossRefGoogle Scholar
  9. 9.
    A. A. Saharian, Nucl. Phys. B 712, 196 (2005).ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    A. A. Saharian, Phys. Rev. D 73, 044012 (2006).ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    A. A. Saharian, Phys. Rev. D 73, 064019 (2006).ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    S.-H. Shao, P. Chen, and J.-A. Gu, Phys. Rev. D 81, 084036 (2010).ADSCrossRefGoogle Scholar
  13. 13.
    E. Elizalde, S. D. Odintsov, and A. A. Saharian, Phys. Rev. D 87, 084003 (2013).ADSCrossRefGoogle Scholar
  14. 14.
    A. A. Saharian, A. S. Kotanjyan, and A. A. Saharyan, Proc. Yerevan State Univ., Phys. and Math. Sci. 3, 37 (2016).Google Scholar
  15. 15.
    A. S. Kotanjyan, A. A. Saharian, and A. A. Saharyan, Galaxies 5, 102 (2017).ADSCrossRefGoogle Scholar
  16. 16.
    A. A. Saharian, Phys. Rev. D 69, 085005 (2004).ADSMathSciNetCrossRefGoogle Scholar
  17. 17.
    A. A. Saharian, Phys. Rev. D 70, 064026 (2004).ADSMathSciNetCrossRefGoogle Scholar
  18. 18.
    A. A. Saharian, Phys. Rev. D 74, 124009 (2006).ADSMathSciNetCrossRefGoogle Scholar
  19. 19.
    E. R. Bezerra de Mello, A. A. Saharian, and V. Vardanyan, Phys. Lett. B 741, 155 (2015).ADSMathSciNetCrossRefGoogle Scholar
  20. 20.
    S. Bellucci, A. A. Saharian, and V. Vardanyan, J. High Energy Phys. 11, 092 (2015).ADSCrossRefGoogle Scholar
  21. 21.
    S. Bellucci, A. A. Saharian, and V. Vardanyan, Phys. Rev. D 93, 084011 (2016).ADSMathSciNetCrossRefGoogle Scholar
  22. 22.
    E. Elizalde, S. D. Odintsov, A. Romeo, et al., Zeta Regularization Techniques with Applications, World Scientific, Singapore (1994).CrossRefzbMATHGoogle Scholar
  23. 23.
    B. Greene and J. Levin, J. High Energy Phys. 11, 096 (2007).ADSCrossRefGoogle Scholar
  24. 24.
    A. O. Barvinskii, Usp. Fiz. Nauk 175, 569 (2005).CrossRefGoogle Scholar
  25. 25.
    B. P. Abbott, et al., Phys. Rev. Lett. 119, 161101 (2017).ADSCrossRefGoogle Scholar
  26. 26.
    L. Visinelli, N. Bolis, S. Vagnozzi, Phys. Rev. D 97, 064039 (2018).ADSCrossRefGoogle Scholar
  27. 27.
    M. D. Douglas, Sh. Kachru, Rev. Mod. Phys. 79, 733 (2007).ADSCrossRefGoogle Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Physics FacultyErevan State UniversityYerevanArmenia
  2. 2.V. A. Ambartsumyan Byurakan Astrophysical ObservatoryByurakanArmenia

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