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Higher-dimensional particle model in third-order Lovelock gravity

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Abstract

By using the formalism of thin-shells, we construct a geometrical model of a particle in third-order Lovelock gravity. This particular theory, which is valid at least in 7 dimensions, provides enough degrees of freedom and grounds towards such a construction. The particle consists of a flat interior and a non-black hole exterior spacetimes whose mass, charge and radius are determined from the junction conditions, in terms of the parameters of the theory.

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References

  1. A.V. Vilenkin, and P.I. Fomin, ITP Report No. ITP-74-78R (1974)

  2. A.V. Vilenkin, P.I. Fomin, Nuovo Cimento Soc. Ital. Fis. A 45, 59 (1978)

    Article  ADS  Google Scholar 

  3. J.A. Wheeler, Geometrodynamics (Academic Press, The University of California, Berkeley, CA, 1962)

    MATH  Google Scholar 

  4. B. Bertotti, Phys. Rev. 116, 1331 (1959)

    Article  ADS  MathSciNet  Google Scholar 

  5. I. Robinson, Bull. Acad. Pol. Sci. 7, 351 (1959)

    Google Scholar 

  6. O.B. Zaslavskii, Phys. Rev. D 70, 104017 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  7. D. Lovelock, J. Math. Phys. 12, 498 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  8. G.D. Birkhoff, Relativity and Modern Physics (Harvard University Press, Cambridge, MA, 1923)

    MATH  Google Scholar 

  9. Z. Amirabi, Phys. Rev. D 88, 087503 (2013)

    Article  ADS  Google Scholar 

  10. M.R. Mehdizadeh, M. Kord Zangeneh, F.S.N. Lobo, Phys. Rev. D 92, 044022 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  11. G. Darmois, Mém. Sci. Math. 25, 1–48 (1927)

    Google Scholar 

  12. W. Israel, Thin shells in general relativity. II. Nuovo Cim. 66, 1 (1966)

    Article  ADS  Google Scholar 

  13. M.H. Dehghani, R.B. Mann, Phys. Rev. D 73, 104003 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  14. M.H. Dehghani, N. Bostani, A. Sheykhi, Phys. Rev. D 73, 104013 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  15. M.H. Dehghani, M.R. Mehdizadeh, Phys. Rev. D 85, 024024 (2012)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

SDF would like to thank the Department of Physics at Eastern Mediterranean University, specially the chairman of the department, Prof. İIzzet Sakallı, for the extended facilities.

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Correspondence to S. Danial Forghani.

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Forghani, S.D., Mazharimousavi, S.H. & Halilsoy, M. Higher-dimensional particle model in third-order Lovelock gravity. Eur. Phys. J. Plus 135, 581 (2020). https://doi.org/10.1140/epjp/s13360-020-00602-6

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00602-6

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