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Exact Solution to Geodesic Motion Equation in the Braneworld Black Hole Spacetime and the Perihelion Precession of Mercury

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Abstract

The exact solution to geodesic equation in the braneworld black hole spacetime is found by method of Jacobian elliptic function, and the angle of perihelion precession is obtained by the zero point of Jacobian elliptic function for Mercury. Comparing numerical result with observation data, we give the value range of tidal charge.

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Notes

  1. http://ssd.jpl.nasa.gov/?planet.

References

  1. Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 3370 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Randall, L., Sundrum, R.: Phys. Rev. Lett. 83, 4690 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Dadhich, N., Maartens, R., Papadopoulos, P., Rezania, V.: Phys. Lett. B 487, 1 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Whisker, R.: Phys. Rev. D 71, 064004 (2005)

    Article  ADS  Google Scholar 

  5. Gradshteyn, I.S., Ryzhik, I.M.: Table of Integrals, Series and Products, 6th edn. Elsevier, Singapore (2000)

    MATH  Google Scholar 

  6. Pitjeva, E.V.: Astron. Lett. 31, 340 (2005)

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by Hunan Provincial Natural Science Foundation of China under Grant No. 11JJ6001.

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Authors and Affiliations

  1. Orient Science and Technology College, College of Science, Hunan Agricultural University, ChangSha, 410128, China

    Fan Zhao

  2. College of Physics and Electronic Science, Hunan University of Science and Technology, Xiangtan, 411201, China

    Feng He

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  1. Fan Zhao
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  2. Feng He
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Correspondence to Fan Zhao.

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Zhao, F., He, F. Exact Solution to Geodesic Motion Equation in the Braneworld Black Hole Spacetime and the Perihelion Precession of Mercury. Int J Theor Phys 51, 1435–1441 (2012). https://doi.org/10.1007/s10773-011-1019-0

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  • DOI: https://doi.org/10.1007/s10773-011-1019-0

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