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Journal of Astrophysics and Astronomy

, Volume 6, Issue 2, pp 85–100 | Cite as

Energetics of the Kerr-Newman black hole by the penrose process

  • Manjiri Bhat
  • Sanjeev Dhurandhar
  • Naresh Dadhich
Article

Abstract

We have studied in detail the energetics of Kerr-Newman black hole by the Penrose process using charged particles. It turns out that the presence of electromagnetic field offers very favourable conditions for energy extraction by allowing for a region with enlarged negative energy states much beyondr = 2M, and higher negative values for energy. However, when uncharged particles are involved, the efficiency of the process (defined as the gain in energy/input energy) gets reduced by the presence of charge on the black hole in comparison with the maximum efficiency limit of 20.7 per cent for the Kerr black hole. This fact is overwhelmingly compensated when charged particles are involved as there exists virtually no upper bound on the efficiency. A specific example of over 100 per cent efficiency is given.

Key words

black hole energetics Kerr-Newman black hole Penrose process energy extraction 

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References

  1. Abramowicz, M. A., Calvani, M., Nobili, L. 1983,Nature,302, 597.CrossRefADSGoogle Scholar
  2. Bardeen, J. M., Press, W. H., Teukolsky, S. A. 1972,Astrophys. J.,178, 347.CrossRefADSGoogle Scholar
  3. Blandford, R. D., Znajek, R. L. 1977,Mon. Not. R. astr. Soc,179, 433.ADSGoogle Scholar
  4. Carter, B. 1968,Phys. Rev.,174, 1559.zbMATHCrossRefADSGoogle Scholar
  5. Chandrasekhar, S. 1983,MathematicalTheory of Black Holes, Oxford University Press, New York.Google Scholar
  6. Christodoulou, D. 1970,Phys. Rev. Lett.,25, 1596.CrossRefADSGoogle Scholar
  7. Dadhich, N. 1983,Phys. Lett.,98A, 103.ADSGoogle Scholar
  8. Dadhich, N. 1985, inA Random Walk in Relativity and Cosmology, Eds N. Dadhich, J. Krishna Rao, C. V. Vishveshwara & J. V. Narlikar, Wiley, Eastern, p. 72.Google Scholar
  9. Denardo, G., Ruffini, R. 1973,Phys. Lett.,45B, 259.ADSGoogle Scholar
  10. Dhurandhar, S. V., Dadhich, N. 1984a,Phys. Rev.,D29, 2712.ADSMathSciNetGoogle Scholar
  11. Dhurandhar, S. V., Dadhich, N. 1984b,Phys. Rev.,D30, 1625.ADSMathSciNetGoogle Scholar
  12. Fishbone, L. G. 1973,Astrophys. J.,185, 43.CrossRefADSGoogle Scholar
  13. Kozfowski, M., Jaroszynski, M., Abramowicz, M., A. 1978,Astr. Astrophys.,63, 209.ADSGoogle Scholar
  14. Mashhoon, B. 1973,Astrophys. J.,181, L65.CrossRefADSGoogle Scholar
  15. Misner, C. W., Thorne, K. S., Wheeler, J. A. 1973,Gravitation, W. H. Freeman, San Francisco.Google Scholar
  16. Parthasarathy, S., Wagh, S. M., Dhurandhar, S. V., Dadhich, N. 1985, Astrophys. J., (submitted).Google Scholar
  17. Penrose, R. 1969,Rev. Nuovo Cimento,1 (Special Number), 252.Google Scholar
  18. Prasanna, A. R. 1983,Astr. Astrophys.,126, 111.ADSGoogle Scholar
  19. Pringle, J. E. 1981,A. Rev. Astr. Astrophys.,19, 137.CrossRefADSGoogle Scholar
  20. Reest, M. I., Begelman, M. C., Blandford, R. D., Phinney, E. S. 1982,Nature,295, 17.CrossRefADSGoogle Scholar
  21. Shakura, N. I., Sunyaev, R. A. 1973,Astr. Astrophys.,24, 337.ADSGoogle Scholar
  22. Vishveshwara, C. 1968,J. Math. Phys.,9, 1319.zbMATHCrossRefGoogle Scholar
  23. Wagh, S. M., Dhurandhar, S. V., Dadhich, N. 1985,Astrophys. J.,290, 12.CrossRefADSMathSciNetGoogle Scholar
  24. Wald, R. M. 1974,Astrophys. J.,191, 231.CrossRefADSGoogle Scholar
  25. Wheeler, J. A. 1971, inNuclei of Galaxies, Ed. D. J. K. O’Connell, NorthHolland, Amsterdam, p. 539.Google Scholar

Copyright information

© Indian Academy of Sciences 1985

Authors and Affiliations

  • Manjiri Bhat
    • 1
  • Sanjeev Dhurandhar
    • 1
  • Naresh Dadhich
    • 1
  1. 1.Department of MathematicsUniversity of PoonaPune

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