Skip to main content
SpringerLink
Log in

The Cosmic Censorship Conjecture in a Higher Dimensional Spacetime and Λ

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Presently, the inclusion of the vacuum energy in the energy momentum tensor, and the inclusion of the extra dimensions in the spacetime, can not be rule out of the research in gravitation. In this work we study the influence of the vacuum energy in the collapsing process of a stellar fluid, and consequently for the cosmic censorship conjecture, considering a homogeneous and isotropic spacetime with arbitrary number of dimensions. We discuss the active gravitational mass of the black hole formed, where the vacuum energy and the number of dimensions has a crucial role in the process.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Ding, X., Biesiada, M., Shuo, C., Zheng, X.L., Zong-Hong, Z.: arXiv:1503.04923v1 (2015)

  2. Weinberg, S.: Rev. Mod. Phys. 61, 1 (1989)

  3. Martin, J.: arXiv:1205.3365v1 (2012)

  4. Padmanabhan, T.: Res. Astron. Astrophys. 12, 891 (2012)

  5. Padmanabhan, T.: arXiv:1404.2284v1 (2014)

  6. Oppenheimer, J.R., Snyder, S.: Phys. Rev. 56, 455 (1939)

  7. Joshi, P.S.: Aspects in Gravitation and Cosmology. Clarendon Press (1996)

  8. Joshi, P.S.: Pramana J. Phys. 55, 529 (2000)

  9. Joshi, P.S.: Mod. Phys. Lett. A 17, 1067 (2002)

  10. Beesham, A.: Pramana J. Phys. 77, 429 (2011)

  11. Gosh, S.G., Deshkar, D.W.: Astrophys. Space Sci. 310, 111 (2007)

  12. Kaluza, Th., Sitzungsber, K.: Preuss Akad. Wiss. Phys. Math. K1, 966 (1921)

  13. Klein, O.: Z. Phys. 37, 895 (1926)

  14. Adelberger, E.G., Heckel, B.R., Nelson, A.E.: Ann. Rev. Nucl. Part. Sci. 53, 77 (2003)

  15. Maldacena, J.: Theor. Math. Phys. 2, 231 (1998)

  16. Peterson, J.L.: Int. J. Mod. Phys. A 14, 3597 (1999)

  17. Maia, M.D.: Geometry of Fundamental Interactions-On Riemanns Legacy to High Energy Physics and Cosmology. Springer (2011)

  18. Randal, L., Sundrum, R.: Phys. Rev. Lett. 83, 3370 (1999)

  19. Goswami, R., Josh, P.S.: Phys. Rev. D 76, 084026 (2007)

  20. Rocha, J.F., Wang, A.: Class. Quantum Grav. 17, 2589 (2000)

  21. Banerjee, A., Sil, A., Chatterjee, S.: Astrophys. J. 422, 681 (1994)

  22. Debnath, U., Chakraborty, S.: Modern Phys. Lett. A 18, 1265 (2003)

  23. Campos, M., Lima, J.A.S.: Phys. Rev. D86, 043012 (2012)

  24. Campos, M.: Int. J. Mod. Phys. D23, 1450033 (2014)

    Article  ADS  Google Scholar 

  25. Chapline, G., Barbieri, J.: Int. J. Mod. Phys. D23, 1450025 (2014)

    Article  ADS  Google Scholar 

  26. Broderick, A., Loeb, A., Narayan, R.: ApJ 701, 1357 (2009)

    Article  ADS  Google Scholar 

  27. Virbahadra, K.S., Ellis, G.F.R.: Phys. Rev. D65, 103004 (2002)

    ADS  Google Scholar 

  28. Sahu, S., Patil, M., Narasimha, D., Josh, P.S.: arXiv:1206.3077 (2012)

  29. Kovács, Z., Harko, T.: Phys. Rev. D82, 124047 (2010)

    ADS  Google Scholar 

  30. Cahill, M.E., McVittie, G.C.: J. Math. Phys. 11, 1382 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  31. Chatterjee, S., Bhui, B.B.: Mon. Not. R. Astron. Soc. 247, 57 (1990)

    ADS  MathSciNet  Google Scholar 

  32. Ellis, G.F.R.: Pramana 69, 15 (2007)

    Article  ADS  Google Scholar 

  33. Mitra, A.: Phys. Lett. B 685, 8 (2010)

    Article  ADS  Google Scholar 

  34. Tolman, R.C.: Phys. Rev. D 35, 875 (1930)

    Article  ADS  Google Scholar 

  35. Tolman, R.C.: Relativity, Thermodynamics, and Cosmology. Clarendon University Press (1962)

  36. Whittaker, E.: Proc. R. Soc. A 149, 384 (1935)

    Article  ADS  Google Scholar 

  37. Cai, R., Wang, A.: Phys. Rev. D 73, 063005 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  38. Falcke, H., Hehl, F.: The Galatic Black Hole - Lectures on General Relativity and Astrophysics. IOP Publishing (2003)

  39. Barton, Z.: A First Course in String Theory. Cambridge University Press (2004)

  40. Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D58, 043506 (1998)

    ADS  Google Scholar 

  41. Carvalho, J.C., Lima, J.A.S., Waga, Y.: Phys. Rev. D49, 2404 (1992)

    ADS  Google Scholar 

  42. Shapiro, I.L., Solá, J.: J. High Energy Phys. 02, 1 (2002)

    Google Scholar 

  43. Albareti, F.D., Cembranos, J.A.R, De la cruz-Dombriz, A.: J. Cosmol. Astropart. Phys. 012, 020 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  44. Kar, S., Sengupta, S.: Pramana 69, 49 (2007)

    Article  ADS  Google Scholar 

  45. Domshlak, Y.I.: Ukr. Math. J. 34, 129 (1982)

    Article  MathSciNet  Google Scholar 

  46. Lima, J.A.S., Graef, L.L., Pavn, D., Basilakos, S.: arXiv:1406.5538v1

  47. Hawking, S., Ellis, G.F.R.: The Large Scale Structure of spacetime. Cambridge University Press (1973)

  48. Wald, R.M.:arXiv:gr-qc:9710068(1997)

  49. Birkel, M., Sarkar, S.S.: Astropart. Phys. 6, 197 (1997)

    Article  ADS  Google Scholar 

  50. Lima, J.A.S., Maia, J.F., Pires, N.: IAU Symposium 198, 111 (2000)

    ADS  Google Scholar 

  51. Basilakos, S.: Astron. Astrophys. 508, 575 (2009)

    Article  ADS  Google Scholar 

  52. Joshi, P.S., Malafarina, D.: Int. J. Mod. Phys. D20, 2641 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  53. Joshi, P.S., Malafarina, D., Narayan, R.: Class. Quantum Grav. 31, 01502 (2014)

    Article  MathSciNet  Google Scholar 

  54. Bolejko, K., Krasiński, A., Hellaby, C., Celerier, M.-N.: Structures in the Universe by Exact Methods. Cambridge University Press (2010)

  55. Ernandez, W.C., Misner, C.W.: Astrophys. J. 143, 452 (1966)

    Article  ADS  Google Scholar 

  56. Misner, C.W., Sharp, D.H.: Phys. Rev. 136, B571 (1964)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Author notes

  1. M. Campos

    Present address: Physics Department, Federal University of Roraima, Boa Vista, Brazil

Authors and Affiliations

  1. Physics Department, Federal University of Espírito Santo, Espírito Santo, Brazil

    M. Campos

Authors
  1. M. Campos
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Campos.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Campos, M. The Cosmic Censorship Conjecture in a Higher Dimensional Spacetime and Λ. Int J Theor Phys 55, 1728–1740 (2016). https://doi.org/10.1007/s10773-015-2813-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2813-x

Keywords

Search

Navigation