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Particle’s Motion Around a Non-Commutative Black Hole

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Abstract

In this paper, we study the motion of massive and massless test particles in the gravitational field of non-commutative black hole. Various other aspects are also analyzed. For our investigations, we use the non-commutative Schwarzschild black hole. The radial geodesic is found and we also study the effective potential. The motion of the test particle in static equilibrium as well as non-static equilibrium are presented using Hamilton-Jacobi formalism. Scattering of scalar waves in non-commutative black hole geometry is the final subject of our paper.

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References

  1. Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B632, 547 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  2. Smailagic, A., Spallucci, E.: J. Phys. A37, 7169 (2004)

    ADS  MathSciNet  Google Scholar 

  3. Di Grezia, E., Esposito, G., Miele, G.: J. Phys. A41, 164063 (2008)

    ADS  MathSciNet  Google Scholar 

  4. Ansoldi, S., Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B645, 261 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  5. Alavi, S.A.: Acta Phys. Polon B40, 2679 (2009)

    ADS  MathSciNet  Google Scholar 

  6. Di Grezia, E., Esposito, G.: Int. J. Geom. Meth. Mod. Phys. 08, 657 (2011)

    Article  MathSciNet  Google Scholar 

  7. Chabab, M., et al: arXiv:1201.2547

  8. Guerrero, I. A., Batic, D., Nowakowski, M.: Class. Quant. Grav. 26, 245006 (2009)

    Article  ADS  Google Scholar 

  9. Klimcika, C., et al: arXiv: gr-qc/9405012

  10. Modesto, L., Nicolini, P.: Phys. Rev. D82, 104035 (2010)

    ADS  Google Scholar 

  11. Brown, E., Mann, R.B.: Phys. Lett. B694, 440 (2010)

    ADS  MathSciNet  Google Scholar 

  12. Nicolini, P., Winstanley, E. JHEP 1111, 075 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  13. Sharif, M., Abbas, G., Phys, J.: Soc. Jpn. 81, 044002 (2012)

    Article  Google Scholar 

  14. Rahaman, F., et al: Phys. Rev. D 87, 084014 (2013)

    Article  ADS  Google Scholar 

  15. de Haro, S: Class Quant. Grav. 15, 519 (1998)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  16. Park, M: arXiv:hep-th/0201002

  17. Martinis, M., Mikuta-Martinis, V.: arXiv:gr-qc/0502111

  18. Di Grezia, E., Esposito, G., Miele, G.: Class. Quant. Grav. 23, 6425 (2006)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. Spallucci, E., Smailagic, A., Nicolini, P.: Phys. Lett. B670, 449 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  20. Casadio, R., Nicolini, P.: JHEP 0811, 072 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  21. Mbonye, M.R.: arXiv:1007.5342

  22. Casadio, R., Cox, P.H., Harms, B., Micu, O.: Phys. Rev D73, 044019 (2006)

    ADS  MathSciNet  Google Scholar 

  23. Nozari, K., et al. Europhys. Lett. 80, 20002 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  24. Larraaga, A.: Rom. J. Phys. 58, 50 (2013)

    Google Scholar 

  25. Rahaman, F., et al: Czech. J. Phys. 53, 115 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  26. Chakraborty, S., Rahaman, F.: Pramana 51, 689 (1998)

    Article  ADS  Google Scholar 

  27. Kalam, M., et al: Int. J. Mod. Phys. A 24, 719 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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Acknowledgments

FR is thankful to UGC, Government of India for providing financial support under its research award scheme. FR would also like to thank Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India for providing research facilities. PB is thankful to CSIR, Govt. of India for providing JRF.

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Authors and Affiliations

  1. Department of Mathematics, Jadavpur University, Kolkata 700 032, West Bengal, India

    F. Rahaman & P. Bhar

  2. Department of Physics, “Gh. Asachi” Technical University, Iasi, 700050, Romania

    I. Radinschi

  3. Department of Mathematics, Behala College, Parnasree, Kolkata, 700060, India

    U. F. Mondal

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  1. F. Rahaman
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  2. I. Radinschi
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  3. U. F. Mondal
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  4. P. Bhar
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Correspondence to F. Rahaman.

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Rahaman, F., Radinschi, I., Mondal, U.F. et al. Particle’s Motion Around a Non-Commutative Black Hole. Int J Theor Phys 54, 1038–1051 (2015). https://doi.org/10.1007/s10773-014-2296-1

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  • DOI: https://doi.org/10.1007/s10773-014-2296-1

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