Astrophysics and Space Science

, Volume 355, Issue 1, pp 155–160 | Cite as

Energy distribution of a noncommutative Vaidya black hole background in Møller’s prescription

Original Article

Abstract

We compute Møller’s energy-momentum pseudotensor of a Vaidya black hole in the framework of a deformed spacetime. The computed energy is contained in a sphere of radius R which gives a taste of the effective gravitational mass that a neutral test particle experiences. Our results show a rich dynamical structure with a regular behavior at radial distances.

Keywords

Vaidya black hole Noncommutative geometry Energy-momentum Pseudotensors 

References

  1. Abbassi, A.M., Mirshekari, S., Abbassi, A.H.: Phys. Rev. D 78, 064053 (2008) ADSMathSciNetCrossRefGoogle Scholar
  2. Aguirregabiria, J.M., Chamorro, A., Virbhadra, K.S.: Gen. Relativ. Gravit. 28, 1393 (1996) ADSCrossRefGoogle Scholar
  3. Ansoldi, S., Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B 645, 261 (2007) ADSMathSciNetCrossRefGoogle Scholar
  4. Aygun, S.: Acta Phys. Pol. B 38, 73 (2007) ADSGoogle Scholar
  5. Aygun, S., et al.: Acta Phys. Pol. B 37, 2781 (2006) ADSGoogle Scholar
  6. Banerjee, R., Chakraborty, B., Ghosh, S., Mukherjee, P., Samanta, S.: Found. Phys. 39, 1297 (2009) ADSMathSciNetCrossRefGoogle Scholar
  7. Banerjee, R., Gangopadhyay, S., Modak, S.K.: Phys. Lett. B 686, 181 (2010) ADSMathSciNetCrossRefGoogle Scholar
  8. Bergmann, P.G., Thompson, R.: Phys. Rev. 89, 400 (1953) ADSCrossRefGoogle Scholar
  9. Bleicher, M., Nicolini, P.: J. Phys. Conf. Ser. 237, 012008 (2010) CrossRefGoogle Scholar
  10. Cohen, J.M., de Felice, F.: J. Math. Phys. 25, 992 (1984) ADSMathSciNetCrossRefGoogle Scholar
  11. Cohen, J.M., Gautreau, R.: Phys. Rev. D 19, 2273 (1979) ADSCrossRefGoogle Scholar
  12. Conroy, J.M., Kwee, H.J., Nazaryan, V.: Phys. Rev. D 68, 054004 (2003) ADSCrossRefGoogle Scholar
  13. Douglas, M.R., Nekrasov, N.A.: Rev. Mod. Phys. 73, 977 (2001) ADSCrossRefGoogle Scholar
  14. Einstein, A.: Preuss. Akad. Wiss. Berl. 47, 778 (1915a) Google Scholar
  15. Einstein, A.: Preuss. Akad. Wiss. Berl. 47, 799 (1915b) Google Scholar
  16. Fazeli, R., Mehdipour, S.H., Sayyadzad, S.: Acta Phys. Pol. B 41, 2365 (2010) Google Scholar
  17. Gad, R.M.: Astrophys. Space Sci. 293, 453 (2004) ADSCrossRefGoogle Scholar
  18. Gingrich, D.M.: J. High Energy Phys. 1105, 022 (2010) ADSMathSciNetCrossRefGoogle Scholar
  19. Goldberg, J.N.: Phys. Rev. 111, 315 (1958) ADSMathSciNetCrossRefGoogle Scholar
  20. Hewett, J.L., Petriello, F.J., Rizzo, T.G.: Phys. Rev. D 66, 036001 (2002) ADSCrossRefGoogle Scholar
  21. Hinchliffe, I., Kersting, N., Ma, Y.L.: Int. J. Mod. Phys. A 19, 179 (2004) ADSCrossRefGoogle Scholar
  22. Komar, A.: Phys. Rev. 113, 934 (1959) ADSMathSciNetCrossRefGoogle Scholar
  23. Kovacs, D.: Gen. Relativ. Gravit. 17, 927 (1985) ADSCrossRefGoogle Scholar
  24. Kulkarni, R., Chellathurai, V., Dadhich, N.: Class. Quantum Gravity 5, 1443 (1988) ADSCrossRefGoogle Scholar
  25. Landau, L.D., Lifshitz, E.M.: The Classical Theory of Fields, p. 317. Addison-Wesley Press, Reading (1951) MATHGoogle Scholar
  26. Lessner, G.: Gen. Relativ. Gravit. 28, 527 (1996) ADSMathSciNetCrossRefGoogle Scholar
  27. Lindquist, R.W., Schwartz, R.A., Misner, C.W.: Phys. Rev. 137, 1364 (1965) ADSMathSciNetCrossRefGoogle Scholar
  28. Mann, R.B., Nicolini, P.: Phys. Rev. D 84, 064014 (2011) ADSCrossRefGoogle Scholar
  29. Mehdipour, S.H.: Commun. Theor. Phys. 52, 865 (2009) ADSCrossRefGoogle Scholar
  30. Mehdipour, S.H.: Int. J. Mod. Phys. A 25, 5543 (2010a) ADSCrossRefGoogle Scholar
  31. Mehdipour, S.H.: Phys. Rev. D 81, 124049 (2010b) ADSMathSciNetCrossRefGoogle Scholar
  32. Mehdipour, S.H.: Commun. Theor. Phys. 54, 845 (2010c) ADSMathSciNetCrossRefGoogle Scholar
  33. Mehdipour, S.H.: Eur. Phys. J. Plus 127, 80 (2012a) CrossRefGoogle Scholar
  34. Mehdipour, S.H.: Can. J. Phys. 90, 425 (2012b) ADSCrossRefGoogle Scholar
  35. Mehdipour, S.H.: Astrophys. Space Sci. 345, 339 (2013a) ADSCrossRefGoogle Scholar
  36. Mehdipour, S.H.: Can. J. Phys. 91, 242 (2013b) ADSCrossRefGoogle Scholar
  37. Mehdipour, S.H.: Astrophys. Space Sci. 352, 877 (2014) ADSCrossRefGoogle Scholar
  38. Mehdipour, S.H., Keshavarz, A.: Europhys. Lett. 98, 10002 (2012) ADSCrossRefGoogle Scholar
  39. Modesto, L., Nicolini, P.: Phys. Rev. D 81, 104040 (2010a) ADSCrossRefGoogle Scholar
  40. Modesto, L., Nicolini, P.: Phys. Rev. D 82, 104035 (2010b) ADSCrossRefGoogle Scholar
  41. Møller, C.: Ann. Phys. (N.Y.) 4, 347 (1958) ADSCrossRefGoogle Scholar
  42. Møller, C.: Ann. Phys. (N.Y.) 12, 118 (1961) ADSCrossRefGoogle Scholar
  43. Multamaki, T., Putaja, A., Vagenas, E.C., Vilja, I.: Class. Quantum Gravity 25, 075017 (2008) ADSCrossRefGoogle Scholar
  44. Nicolini, P.: Int. J. Mod. Phys. A 24, 1229 (2009) ADSCrossRefGoogle Scholar
  45. Nicolini, P., Rinaldi, M.: Phys. Lett. B 695, 303 (2011) ADSCrossRefGoogle Scholar
  46. Nicolini, P., Spallucci, E.: Class. Quantum Gravity 27, 015010 (2010) ADSCrossRefGoogle Scholar
  47. Nicolini, P., Smailagic, A., Spallucci, E.: Phys. Lett. B 632, 547 (2006) ADSMathSciNetCrossRefGoogle Scholar
  48. Nourinezhad, Z., Mehdipour, S.H.: Indian J. Phys. 86, 919 (2012) ADSCrossRefGoogle Scholar
  49. Novotny, J.: Gen. Relativ. Gravit. 19, 1043 (1987) ADSCrossRefGoogle Scholar
  50. Nozari, K., Mehdipour, S.H.: Class. Quantum Gravity 25, 175015 (2008) ADSCrossRefGoogle Scholar
  51. Nozari, K., Mehdipour, S.H.: J. High Energy Phys. 03, 061 (2009) ADSCrossRefGoogle Scholar
  52. Nozari, K., Mehdipour, S.H.: Commun. Theor. Phys. 53, 503 (2010) ADSCrossRefGoogle Scholar
  53. Ohl, T., Reuter, J.: Phys. Rev. D 70, 076007 (2004) ADSCrossRefGoogle Scholar
  54. Papapetrou, A.: Proc. R. Ir. Acad. A 52, 11 (1948) Google Scholar
  55. Radinschi, I.: Mod. Phys. Lett. A 15, 2171 (2000) ADSMathSciNetCrossRefGoogle Scholar
  56. Rizzo, T.G.: J. High Energy Phys. 0609, 021 (2006) ADSCrossRefGoogle Scholar
  57. Rosen, N., Virbhadra, K.S.: Gen. Relativ. Gravit. 25, 429 (1993) ADSCrossRefGoogle Scholar
  58. Salti, M., Aydogdu, O.: Found. Phys. Lett. 19, 269 (2006) MathSciNetCrossRefGoogle Scholar
  59. Sharif, M.: Int. J. Mod. Phys. A 17, 1175 (2002) ADSCrossRefGoogle Scholar
  60. Sharif, M., Fatima, T.: Int. J. Mod. Phys. A 20, 4309 (2005) ADSCrossRefGoogle Scholar
  61. Sharif, M., Shamir, M.F.: Gen. Relativ. Gravit. 42, 1557 (2010) ADSCrossRefGoogle Scholar
  62. Smailagic, A., Spallucci, E.: Phys. Rev. D 65, 107701 (2002a) ADSMathSciNetCrossRefGoogle Scholar
  63. Smailagic, A., Spallucci, E.: J. Phys. A 35, L363 (2002b) ADSCrossRefGoogle Scholar
  64. Smailagic, A., Spallucci, E.: J. Phys. A 36, L467 (2003a) ADSCrossRefGoogle Scholar
  65. Smailagic, A., Spallucci, E.: J. Phys. A 36, L517 (2003b) ADSCrossRefGoogle Scholar
  66. Smailagic, A., Spallucci, E.: J. Phys. A 37, 7169 (2004) ADSMathSciNetCrossRefGoogle Scholar
  67. Spallucci, E., Smailagic, A., Nicolini, P.: Phys. Rev. D 73, 084004 (2006) ADSMathSciNetCrossRefGoogle Scholar
  68. Spallucci, E., Smailagic, A., Nicolini, P.: Phys. Lett. B 670, 449 (2009) ADSMathSciNetCrossRefGoogle Scholar
  69. Stephani, H., et al.: Exact Solutions to Einstein’s Field Equations, 2nd. edn. Cambridge University Press, Cambridge (2003) CrossRefMATHGoogle Scholar
  70. Tolman, R.C.: Relativity, Thermodynamics and Cosmology, p. 227. Oxford University Press, London (1934) MATHGoogle Scholar
  71. Tyagi, A., Sharma, K., Jain, P.: Chin. Phys. Lett. 27, 079801 (2010) CrossRefGoogle Scholar
  72. Vagenas, E.C.: Int. J. Mod. Phys. A 18, 5781 (2003a) ADSMathSciNetCrossRefGoogle Scholar
  73. Vagenas, E.C.: Int. J. Mod. Phys. A 18, 5949 (2003b) ADSMathSciNetCrossRefGoogle Scholar
  74. Vagenas, E.C.: Mod. Phys. Lett. A 19, 213 (2004) ADSCrossRefGoogle Scholar
  75. Vagenas, E.C.: Int. J. Mod. Phys. D 14, 573 (2005) ADSMathSciNetCrossRefGoogle Scholar
  76. Vagenas, E.C.: Mod. Phys. Lett. A 21, 1947 (2006) ADSMathSciNetCrossRefGoogle Scholar
  77. Vaidya, P.C.: Proc. Indian Acad. Sci. A 33, 264 (1951) ADSGoogle Scholar
  78. Virbhadra, K.S.: Phys. Rev. D 41, 1086 (1990a) ADSMathSciNetCrossRefGoogle Scholar
  79. Virbhadra, K.S.: Phys. Rev. D 42, 2919 (1990b) ADSMathSciNetCrossRefGoogle Scholar
  80. Virbhadra, K.S.: Pramana 38, 31 (1992) ADSCrossRefGoogle Scholar
  81. Virbhadra, K.S.: Pramana 44, 317 (1995a) ADSCrossRefGoogle Scholar
  82. Virbhadra, K.S.: Pramana 45, 215 (1995b) ADSCrossRefGoogle Scholar
  83. Virbhadra, K.S.: Phys. Rev. D 60, 104041 (1999) ADSMathSciNetCrossRefGoogle Scholar
  84. Virbhadra, K.S.: Mod. Phys. Lett. A 15, 1511 (2000) CrossRefGoogle Scholar
  85. Virbhadra, K.S., Parikh, J.C.: Phys. Lett. B 317, 312 (1993) ADSMathSciNetCrossRefGoogle Scholar
  86. Weinberg, S.: Gravitation and Cosmology: Principles and Applications of General Theory of Relativity, p. 165. Wiley, New York (1972) Google Scholar
  87. Xulu, S.S.: Int. J. Theor. Phys. 37, 1773 (1998) MathSciNetCrossRefGoogle Scholar
  88. Xulu, S.S.: Mod. Phys. Lett. A 15, 1511 (2000) ADSMathSciNetCrossRefGoogle Scholar
  89. Xulu, S.S.: Astrophys. Space Sci. 283, 23 (2003a) ADSCrossRefGoogle Scholar
  90. Xulu, S.S.: (2003b). arXiv:hep-th/0308070
  91. Xulu, S.S.: Int. J. Theor. Phys. 46, 2915 (2007) MathSciNetCrossRefGoogle Scholar
  92. Yang, I.C., Radinschi, I.: Mod. Phys. Lett. A 17, 1159 (2002) ADSCrossRefGoogle Scholar
  93. Yang, I.C., Tsai, C.H.: (2005). arXiv:gr-qc/0503118

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Department of Physics, College of Basic Sciences, Lahijan BranchIslamic Azad UniversityLahijanIran

Personalised recommendations