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Geometric Prequantization for the Binary Black Holes

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Abstract

In this letter, the effective-one-body Hamiltonian of two spinning black hole considered and prequantization operators obtained by using the closed 2-form. It is indeed an application of prequantization method in a given physical system. Our results may be considered as mathematical tool and is useful to obtain the wave function.

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References

  1. Hall, B.C.: Quantum theory for mathematics. Springer Science, (2013)

  2. Taleshian, A., Shaban Nataj, M., Pourhassan, B.: Closed 2-Form of 2D black holes from geometric prequantization method. Int. J. Theor. Phys. 53, 3943 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  3. Barausse, E., Buonanno, A.: An improved effective-one-body Hamiltonian for spinning black-hole binaries. Phys. Rev. D81, 084024 (2010)

    ADS  Google Scholar 

  4. Waldman, S.J.: LIGO Scientific Collaboration. Class. Quantum Grav. 23, S653 (2006)

    Article  MATH  Google Scholar 

  5. Acernese, F., et al.: Virgo Collaboration. Class. Quant. Grav. 25, 114045 (2008)

    Article  ADS  Google Scholar 

  6. Centrella, J.M., et al.: Black-hole binaries, gravitational waves, and numerical relativity. Rev. Mod. Phys. 82, 3069 (2010)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. Bardeen, J.M.: Black holes (Les Astres Occlus), p 241289. Gordon and Breach, New York (1973)

    Google Scholar 

  8. Hessaby, M.: Continuous particles. Proc. Nat. Acad. Sci. USA 33, 189 (1947)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. Saadat, H., Pourhassan, B.: Reparametrization of the relativistic infinitely extended charged particle action. Int. J. Theor. Phys. 55, 3827 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  10. Maldacena, J.M.: The large N limit of superconformal field theories and supergravity. Int. J. Theor. Phys. 38, 1113 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  11. Witten, E.: Anti-de sitter space and holography. Adv. Theor. Math. Phys. 2, 253 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Gubser, S.S., Klebanov, I.R., Polyakov, A.M.: Gauge theory correlators from noncritical string theory. Phys. Lett. B 428, 105 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. Janik, R.A.: AdS/CFT and the dynamics of quark-gluon plasma. Prog. Theor. Phys. Suppl. 186, 534 (2010)

    Article  ADS  Google Scholar 

  14. Pourhassan, B., Sadeghi, J.: STU/QCD Correspondence. Can. J. Phys. 91, 995 (2013)

    Article  ADS  Google Scholar 

  15. Sadeghi, J., Pourhassan, B.: Drag force of moving quark at the 𝓝 = 2 supergravity. JHEP 0812, 026 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  16. Sadeghi, J., Setare, M.R., Pourhassan, B.: Drag force with different charges in STU background and AdS/CFT. J. Phys. G: Nucl. Part. Phys. 36, 115005 (2009)

    Article  ADS  Google Scholar 

  17. Bitaghsir Fadafan, K., Pourhassan, B., Sadeghi, J.: Calculating the jet-quenching parameter in STU background. Eur. Phys. J. C 71, 1785 (2011)

    Article  ADS  Google Scholar 

  18. Lin, F.L., Matsuo, T.: Jet quenching parameter in medium with chemical potential from AdS/CFT. Phys. Lett. B 641, 45 (2006)

    Article  ADS  Google Scholar 

  19. Cremonini, S.: The shear viscosity to entropy ratio: A status report. Mod. Phys. Lett. B 25, 1867 (2011)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  20. Sadeghi, J., Pourhassana, B., Amani, A.R.: The effect of higher derivative correction on η/s and conductivities in STU model. Int. J. Theor. Phys. 52, 42 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  21. Hergt, S., Schaefer, G.: Phys. Rev. D 77, 104001 (2008)

    Article  ADS  Google Scholar 

  22. Damour, T., Jaranowski, P., Schafer, G.: Phys. Rev. D 78, 024009 (2008)

    Article  ADS  Google Scholar 

  23. Damour, T.: Phys. Rev. D 64, 124013 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  24. Sadeghi, J., et al.: Rotating charged hairy black hole in (2+1) dimensions and particle acceleration. Commun. Theor. Phys. 62, 358 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. Sadeghi, J., et al.: Thermodynamical quantities of Horava-Lifshitz black hole. Int. J. Theor. Phys. 51, 3891 (2012)

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    M. ShabanNataj

  2. Department of Mathematics, Science of Mathematics Faculty, University of Mazandaran, Mazandaran, Iran

    A. Behzadi

Authors
  1. M. ShabanNataj
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  2. A. Behzadi
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Correspondence to A. Behzadi.

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ShabanNataj, M., Behzadi, A. Geometric Prequantization for the Binary Black Holes. Int J Theor Phys 56, 1719–1724 (2017). https://doi.org/10.1007/s10773-017-3308-8

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  • DOI: https://doi.org/10.1007/s10773-017-3308-8

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