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Tests in Kaluza−Klein gravitational theory in the presence of a scalar electric potential and a reactive potential

  • Elementary Particle Physics and Field Theory
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Russian Physics Journal Aims and scope

On the basis of a scalar electrical potential and a reactive potential in the generalized Gross–Perry metric, tests are proposed to confirm the possible existence of additional dimensions to space–time. Toward this end, use has been made of Kaluza–Klein theory, which is a natural extension of Einstein’s general theory of relativity. For zero values of the components of the curvature tensor in 5D, the deflection of a light ray in the presence of a scalar electromagnetic potential is considered. An expression is obtained for the additional time interval for passage of a signal with allowance for the indicated potential near the Earth and planets. The radial motion of neutral particles in the presence of the scalar component of the reactive potential, determined here for the first time, is examined.

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References

  1. U. N. Zakirov, Russ. Phys. J., 55, No. 5, 569–575 (2011).

    Article  MathSciNet  Google Scholar 

  2. U. N. Zakirov, Russ. Phys. J., 54, No. 2, 188–197 (2010).

    Article  Google Scholar 

  3. P. Wesson, Modern Kaluza–Klein Theory, World Scientific, Singapore, London (2000).

  4. P. H. Lim, J. M. Overduin, and P. S. Wesson, J. Math. Phys., 36(12), 6907–6913 (1995).

    MathSciNet  MATH  Google Scholar 

  5. D. Kalligas, P. S. Wesson, and W. F. Everitt, Astrophys. J., 439, 548–557 (1995).

    Article  ADS  Google Scholar 

  6. R. M. Wald, General Theory of Relativity, Univ. of Chicago Press, Chicago (1984).

    Book  Google Scholar 

  7. D. J. Gross and M. J. Perry, Nucl. Phys., B226, 29−48 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  8. J. D. Anderson, P. A. Laing, E. L. Lau, et al., Phys. Rev., D65, 082004 (2002).

    ADS  Google Scholar 

  9. Yu. Rogozhin, J. Brit. Interplanet. Soc., 26, No. 8, 475–480 (1973).

    ADS  Google Scholar 

  10. V. G. Turyshev, Usp. Fiz. Nauk, 179, No. 1, 27 (2009).

    Article  Google Scholar 

  11. K. P. Stanyukovich, in: Collected Papers [in Russian], Publishing House of Bauman Moscow Higher Technical School, Moscow (1958), pp. 156–160.

  12. A. A. Starobinsky, in: The Works of the 3-D Russian School-Seminar GRACOS-2012 “Modern Theoretical Problems of Gravitation and Cosmology,” Kazan’ (2012), p. 91.

  13. D. J. Wineland, Press release: Particle control in a quantum world, Royal Swedish Academy of Sciences. Retrieved October 9, 2012.

  14. S. Haroche, Nature, 490, 7420 (2012).

    Article  Google Scholar 

Download references

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Correspondence to U. N. Zakirov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 15–20, February, 2013.

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Zakirov, U.N. Tests in Kaluza−Klein gravitational theory in the presence of a scalar electric potential and a reactive potential. Russ Phys J 56, 125–132 (2013). https://doi.org/10.1007/s11182-013-0006-8

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  • DOI: https://doi.org/10.1007/s11182-013-0006-8

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