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Repulsive gravity near naked singularities and point massive particles

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Abstract

We investigate the existence of repulsive gravitational acceleration near naked singularities. The investigation is carried out by means of the acceleration tensor, which is a coordinate invariant object. We find that the gravitational acceleration is repulsive in the vicinity of the origin in the Reissner–Nordstrøm and in the Kerr space-times, and attractive at large distances in the expected Newtonian way. We further address the space-time of a point massive particle, which also exhibits repulsive effects near the origin.

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References

  1. Joshi, P.S.: Spacetime Singularities. arxiv:1311.04490 (2013)

  2. Chowdhury, A.N., Patil, M., Malafarina, D., Joshi, P.S.: Phys. Rev. D 85, 104031 (2012)

    Article  ADS  Google Scholar 

  3. Pugliese, D., Quevedo, H., Ruffini, R.: Phys. Ref. D 84, 044030 (2011)

    Article  ADS  Google Scholar 

  4. Pugliese, D., Quevedo, H., Ruffini, R.: Phys. Ref. D 83, 104052 (2011)

    Article  ADS  Google Scholar 

  5. Sahu, S., Patil, M., Narasimha, D., Joshi, P.S.: Phys. Rev. D 86, 063010 (2012)

    Article  ADS  Google Scholar 

  6. Virbhadra, K.S., Ellis, G.F.R.: Phys. Rev. D 65, 103004 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  7. Virbhadra, K.S., Keeton, C.R.: Phys. Rev. D 77, 124014 (2008)

    Article  ADS  Google Scholar 

  8. Stuchlik, Z.: Bull. Astron. Inst. Czechosl. 31, 129 (1980)

    ADS  MATH  MathSciNet  Google Scholar 

  9. Patil, M., Joshi, P.S.: Phys. Rev. D 84, 104001 (2011)

    Article  ADS  Google Scholar 

  10. M. Patil, M., Joshi, P.S., Kimura, M., Nakao, Ken-ichi: Phys. Rev. D 86, 084023 (2012)

    Article  ADS  Google Scholar 

  11. Herrera, L.: Found. Phys. Lett. 18, 21 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  12. Luongo, O., Quevedo, H.: Toward an Invariant Definition of Repulsive Gravity. arxiv:1005.4532 (2010)

  13. Maluf, J.W., Faria, F.F., Ulhoa, S.C.: Class. Quantum Grav. 24, 2743 (2007)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Maluf, J.W., Faria, F.F.: Ann. Phys. (Berlin) 17, 326 (2008)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  15. Maluf, J.W.: Ann. Phys. (Berlin) 525, 339 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  16. Hehl, F.H., Lemke, J., Mielke, E.W.: Two Lectures on Fermions and Gravity. In: Debrus, J., Hirshfeld, A.C. (eds.) Geometry and Theoretical Physics. Springer, Berlin (1991)

  17. Mashhoon, B., Muench, U.: Ann. Phys. (Berlin) 11, 532 (2002)

    Article  ADS  MATH  Google Scholar 

  18. Mashhoon, B.: Ann. Phys. (Berlin) 12, 586 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. Maluf, J.W., Ulhoa, S.C., Faria, F.F.: Phys. Rev. D 80, 044036 (2009)

    Article  ADS  Google Scholar 

  20. Katanaev, M.O.: Gen. Relativ. Gravit. 45, 1861 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  21. Maluf, J.W., Ulhoa, S.C., da Rocha-Neto, J.F.: Phys. Rev. D 85, 044050 (2012)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Instituto de Física, Universidade de Brasília, C. P. 04385, 70.919-970 , Brasília, DF, Brazil

    J. W. Maluf

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  1. J. W. Maluf
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Maluf, J.W. Repulsive gravity near naked singularities and point massive particles. Gen Relativ Gravit 46, 1734 (2014). https://doi.org/10.1007/s10714-014-1734-y

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  • DOI: https://doi.org/10.1007/s10714-014-1734-y

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