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Weak Gravitational Wave and Casimir Energy of a Scalar Field

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Abstract

In this paper, we calculate the effect of a weak gravitational field on the Casimir force between two ideal plates subjected to a massless minimally coupled field. It is the aim of this work to study the Casimir energy under a weak perturbation of gravity. Moreover, the fluctuations of the stress-energy tensor for a scalar field in de Sitter space-time are computed as well.

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References

  1. Lamoreaux, S.K.: Demonstration of the Casimir force in the 0.6 to 6 mm range. Phys. Rev. Lett. 78(1), 5–8 (1997)

    Article  ADS  Google Scholar 

  2. Bordag, M., Klimchtskaja, G.L., Mogideen, U., Mostepanenko, V.M.: Advances in the Casimir Effect. Oxford University Press, Oxford (2009)

    Book  Google Scholar 

  3. Milonni, P., Shih, M.: Casimir forces. Contemp. Phys. 33(5), 313–322 (1992)

    Article  ADS  Google Scholar 

  4. Kaku, M.: Parallel Worlds: A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos. ISBN 978-0385509862

  5. Fulling, S.A., Milton, K.A., Parashar, P., Romeo, A., Shajesh, K.V., Wagner, J.: How does Casimir energy fall? Phys. Rev. D 76, 025004 (2007). arXiv:hep-th/0702091

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Roura, A., Verdaguer, E.: Spacelike fluctuations of the stress tensor for de Sitter vacuum. Int. J. Theor. Phys. 38, 3123–3133 (1999). arXiv:gr-qc/9904039

    Article  MathSciNet  MATH  Google Scholar 

  7. Linde, A.: Particle Physics and Inflationary Cosmology. Harwood Academic Publishers, Chur (1990)

    Book  Google Scholar 

  8. Padmanabhan, T.: Structure Formation in the Early Universe. Cambridge University Press, Cambridge (1993)

    Google Scholar 

  9. Burda, P.: Casimir effect for a massless minimally coupled scalar field between parallel plates in de Sitter spacetime. JETP Lett. 93(11), 632–637 (2011). arXiv:1101.2624 [hep-th]. ISSN 0021-3640

    Article  ADS  Google Scholar 

  10. Weinberg, S.: Cosmology, p. 593. Oxford University Press, Oxford (2008)

    MATH  Google Scholar 

  11. Alonso, D., Bueno Belloso, A., Sanchez, F.J., Garca-Bellido, J., Sanchez, E.: Measuring the transition to homogeneity with photometric redshift surveys. Mon. Not. R. Astron. Soc. 1–14, 10 (2013). arXiv:1312.0861 [astro-ph.CO]

    Google Scholar 

  12. Cooperman, J.H.: Scale-dependent homogeneity measures for causal dynamical triangulations. Phys. Rev. D 90(12), 124053 (2014). arXiv:1410.0632v1 [gr-qc]

    Article  ADS  Google Scholar 

  13. Carroll, S.M.: A No-Nonsense Introduction to General Relativity, p 60637. University of Chicago, Chicago

  14. Parker, L., Toms, D.: Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity. Cambridge University Press, Cambridge (2009). ISBN 978-0-521-87787-9

    Book  MATH  Google Scholar 

  15. Cocciatori, S., Gorini, V., Kamenshchik, A.: Special relativity in the 21st century. Ann. Phys. (Berlin) 17(9–10), 728–768 (2008). doi:10.1002/andp.200810321

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. Milton, K.A., Fulling, S.A., Parashar, Prachi., Romeo, August, Shajesh, K.V., Wagner, J.A.: Gravitational and Inertial Mass of Casimir Energy. J. Phys. A: Math. Theor. 41, 164052 (12p) (2008). arXiv:0710.3841 [hep-th], contribution to QFEXT07 proceedings

    ADS  MathSciNet  MATH  Google Scholar 

  17. Tanhayi, M.R., Pirmoradian, R.: Weak gravitational field and Casimir energy. Int. J. Theor. Phys. doi:10.1007/s10773-015-2714-z

  18. Levine, J.L.: Early gravity-wave detection experiments, 1960–1975. Phys. Perspect. 6(1), 42–75 (2004)

    Article  ADS  Google Scholar 

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Acknowledgments

The authors would like to thank M. Amraji for his corporation and interest in this work. This work has been supported partially by Islamic Azad University Central Tehran Branch.

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Correspondence to F. Tavakoli.

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Tavakoli, F., Pirmoradian, R. & Parsabod, I. Weak Gravitational Wave and Casimir Energy of a Scalar Field. Int J Theor Phys 55, 4100–4108 (2016). https://doi.org/10.1007/s10773-016-3038-3

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  • DOI: https://doi.org/10.1007/s10773-016-3038-3

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