Advertisement

General Relativity and Gravitation

, Volume 39, Issue 6, pp 849–862 | Cite as

Magnetized quark and strange quark matter in the spherical symmetric space–time admitting conformal motion

  • C. Aktas
  • İ. Yilmaz
Research Article

Abstract

In this paper, we have examined magnetized quark and strange quark matter in the spherical symmetric space–time admitting one-parameter group of conformal motions. For this purpose, we have solved Einstein’s field equations for spherical symmetric space–time via conformal motions. Also, we have discussed the features of the obtained solutions.

Keywords

Magnetized quark matter and magnetized strange quark matter Conformal motion 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Grasso D. and Rubinstein H.R. (1996). Phys. Lett. B 379: 79 ADSGoogle Scholar
  2. 2.
    Cheng B., Olinto A.V., Schramm D.N. and Truran J.W. (1997). Phys. Rev. D 54: 4714 CrossRefADSGoogle Scholar
  3. 3.
    Zeldovich Y.B. (1970). Sov. Astron. 13: 608 ADSGoogle Scholar
  4. 4.
    Zeldovich Y.B. and Novikov I.D. (1974). Relativistic astrophysics, volume II. University of Chicago Press, Chicago Google Scholar
  5. 5.
    Adams J., Danielson U.H., Grasso D. and Rubinstein H.R. (1996). Phys. Lett. B 388: 253 CrossRefADSGoogle Scholar
  6. 6.
    Kosowsky A. and Loeb A. (1996). Astrophys. J. 469: 1 CrossRefADSGoogle Scholar
  7. 7.
    Barrow J.D. (1997). Phys. Rev. D 55: 7451 CrossRefADSGoogle Scholar
  8. 8.
    Barrow J.D., Ferreira P.G. and Silk J. (1997). Phys. Rev. Lett. 78: 3610 CrossRefADSGoogle Scholar
  9. 9.
    Durrer R., Kahniasvili T. and Yates A. (1998). Phys. Rev. D 58: 123004 CrossRefADSGoogle Scholar
  10. 10.
    Durrer R., Ferreira P.G. and Kahniashvili T. (2000). Phys. Rev. D 61: 043001 CrossRefADSGoogle Scholar
  11. 11.
    Durrer, R.: preprint astro-ph/0609216Google Scholar
  12. 12.
    Clarkson C.A., Coley A.A., Maartens R. and Tsagas C.G. (2003). Class. Quantum Grav. 20: 1519 MATHCrossRefADSGoogle Scholar
  13. 13.
    Caprini C., Durrer R. and Kahniashvili T. (2004). Phys. Rev. D 69: 063006 CrossRefADSGoogle Scholar
  14. 14.
    Lewis A. (2004). Phys. Rev. D 70: 043011 CrossRefADSGoogle Scholar
  15. 15.
    Giovannini M. (2004). Phys. Rev. D 70: 123507 CrossRefADSGoogle Scholar
  16. 16.
    Giovannini M. (2005). Phys. Rev. D 71: 021301 CrossRefADSGoogle Scholar
  17. 17.
    Giovannini M. (2006). Class. Quantum Grav. 23: R1 MATHCrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Giovannini M. (2006). Phys. Rev D 73: 101302 CrossRefADSGoogle Scholar
  19. 19.
    Subramanian, K.: preprint astro-ph/0601570Google Scholar
  20. 20.
    Yamazaki D., Ichiki K., Kajino T. and Mathews G.J. (2006). Astrophys. J. 646: 719 CrossRefADSGoogle Scholar
  21. 21.
    Kahniashvili, T., Ratra, B.: preprint astro-ph/0611247Google Scholar
  22. 22.
    Klein U., Wielebinski R. and Morsi H.W. (1988). Astron. Astrophys. 190: 41 ADSGoogle Scholar
  23. 23.
    Kronberg P.P., Perry J.J. and Zukowski E.L.H. (1992). Astrophys. J. 387: 528 CrossRefADSGoogle Scholar
  24. 24.
    Wolfe A.M., Lanzetta K.M. and Oren A.L. (1992). Astrophys. J. 388: 17 CrossRefADSGoogle Scholar
  25. 25.
    Kronberg P.P. (1994). Rep. Prog. Phys. 57: 325 CrossRefADSGoogle Scholar
  26. 26.
    Beck R., Brandenburg A., Moss D., Shukurov A.A. and Sokoloff D. (1996). Ann. Rev. Astron. Astrophys. 34: 155 CrossRefADSGoogle Scholar
  27. 27.
    Carilli C.L. and Taylor G.B. (2004). Ann. Rev. Astron. Astrophys. 40: 391 Google Scholar
  28. 28.
    Enqvist K. (1998). Int. J. Mod. Phys. D 7: 331 MATHCrossRefADSGoogle Scholar
  29. 29.
    Grasso D. and Rubinstein H. (2001). Phys. Rep. 348: 163 CrossRefADSGoogle Scholar
  30. 30.
    Windrow L.M. (2002). Rev. Mod. Phys. 74: 775 CrossRefADSGoogle Scholar
  31. 31.
    Giovannini, M.: preprint hep-ph/0208152Google Scholar
  32. 32.
    Giovannini M. (2004). Int. J. Mod. Phys. D 13: 391 MATHCrossRefADSGoogle Scholar
  33. 33.
    Lugones G. and Horvath J.E. (2002). Phys. Rev. D 66: 074017 CrossRefADSGoogle Scholar
  34. 34.
    Lugones, G., Horvath, J.E.: A & A 403, 173 (2003)Google Scholar
  35. 35.
    Horvath, J.E., Lugones, G.: A & A 422, L1–L4 (2004)Google Scholar
  36. 36.
    Back B.B. (2005). PHOBOS Collab. Nucl Phys. A 757: 28 CrossRefADSGoogle Scholar
  37. 37.
    Adams J. (2005). STAR Collab. Nucl Phys. A 757: 102 CrossRefADSGoogle Scholar
  38. 38.
    Adcox K. (2005). PHENIX Collab. Nucl Phys. A 757: 184 CrossRefADSGoogle Scholar
  39. 39.
    Itoh N. (1970). Prog. Theo. Phys. 44: 291 CrossRefADSGoogle Scholar
  40. 40.
    Bodmer A.R. (1971). Phys. Rev. D4: 1601 ADSGoogle Scholar
  41. 41.
    Witten E. (1984). Phys. Rev. D 30: 272 CrossRefADSMathSciNetGoogle Scholar
  42. 42.
    Alcock C., Farhi E. and Olinto A. (1986). Astrophys. J. 310: 261 CrossRefADSGoogle Scholar
  43. 43.
    Haensel P., Zdunik J.L. and Schaeffer R. (1986). Astron. Astrophys. 160: 121 ADSGoogle Scholar
  44. 44.
    Cheng K.S., Dai Z.G. and Lu T. (1998). Int. J. Mod. Phys. D 7: 139 CrossRefADSGoogle Scholar
  45. 45.
    Kapusta J. (1994). Finite-temperature field theory. Cambridge University Press, Cambridge Google Scholar
  46. 46.
    Sotani H., Kohri K. and Harada T. (2004). Phys. Rev. D69: 084008 ADSGoogle Scholar
  47. 47.
    Farhi E. and Jaffe R.L. (1984). Phys. Rev. D 30: 2379 CrossRefADSGoogle Scholar
  48. 48.
    Bannerjee S., Ghosh S.K. and Raha S. (2000). J. Phys. G Nucl. Part. Phys. 26: L1 CrossRefADSGoogle Scholar
  49. 49.
    Dey, M., Bombaci, I., Dey, J., Ray, S., Samanta, B.C.: Phys. Lett. B 438, 123 (1998); Addendum: (1999) B 447, 352; Erratum: (1999) B 467, 303; (1999) Indian J. Phys. 73B, 377Google Scholar
  50. 50.
    Gondek-Rosińska D., Bulik T., Zdunik L., Gourgoulhon E., Ray S., Dey J. and Dey M. (2000). Astron. Astrophys. 363: 1005 ADSGoogle Scholar
  51. 51.
    Li X-D., Dai Z-G. and Wang Z.-R. (1995). Astron. Astrophys. 303: L1 ADSGoogle Scholar
  52. 52.
    Bombaci I. (1997). Phys. Rev. C 55: 1587 CrossRefADSGoogle Scholar
  53. 53.
    Li X.-D., Bombaci I., Dey M., Dey J. and Heeuvel E.P.J. (1999). Phys. Rev. Lett. 83: 3776 CrossRefADSGoogle Scholar
  54. 54.
    Li X.-D., Ray S., Dey J., Dey M. and Bombaci I. (1999). Astrophys. J 527: L51 CrossRefADSGoogle Scholar
  55. 55.
    Xu R.X., Qiao G.J. and Zhang B. (1999). Astrophys. J 522: L109 CrossRefADSGoogle Scholar
  56. 56.
    Xu R.X., Xu X.B. and Wu X.J. (2001). Chin. Phys. Lett. 18: 837. astro-ph/0101013CrossRefADSGoogle Scholar
  57. 57.
    Pons J.A., Walter F.M., Lattimer J.M., Prakash M., Neuhäuser R. and Penghui A. (2002). Astrophys. J. 564: 981 CrossRefADSGoogle Scholar
  58. 58.
    Fushiki I., Gudmundsson E.H. and Pethick C.J. (1989). Astrophys.J. 342: 958 CrossRefADSGoogle Scholar
  59. 59.
    Mihara T.A. (1990). Nature(Lond.) 346: 250 CrossRefADSGoogle Scholar
  60. 60.
    Chanmugam G. (1992). Ann. Rev. Astron. Astrophys. 30: 143 CrossRefADSGoogle Scholar
  61. 61.
    Kronberg P.P. (1994). Rep. Prog. Phys. 57: 325 CrossRefADSGoogle Scholar
  62. 62.
    Lai D. (2001). Rev. Mod. Phys. 73: 629 CrossRefADSGoogle Scholar
  63. 63.
    Grasso D. and Rubinstein H.R. (2001). Phys. Rep. 348: 163 CrossRefADSGoogle Scholar
  64. 64.
    Thompson C. and Duncan R.C. (1996). Astrophys. J. 473: 322 CrossRefADSGoogle Scholar
  65. 65.
    Dong L. and Shapiro S.L. (1991). ApJ. 383: 745 CrossRefADSGoogle Scholar
  66. 66.
    Shuryak E.V. (1978). Phys. Lett. B 78: 150 CrossRefADSGoogle Scholar
  67. 67.
    Kajantie K. and Miettinen H.I. (1981). Z. Phys. C 9: 341 CrossRefADSGoogle Scholar
  68. 68.
    Domikos G. and Goldman J. (1981). Phys. Rev D 23: 203 CrossRefADSGoogle Scholar
  69. 69.
    Petrov A.Z. (1969). Einstein spaces. Oxford University Press, Pergamon MATHGoogle Scholar
  70. 70.
    Hojman S., Nunez L.K., Patino A. and Rago H. (1986). J. Math. Phys. 27: 281 MATHCrossRefADSMathSciNetGoogle Scholar
  71. 71.
    Green L.H., Norris L.K., Oliver D.R. and Davis W.R. (1977). Gen. Relativ. Gravit. 8: 731 MATHCrossRefADSMathSciNetGoogle Scholar
  72. 72.
    Katzin G.H., Levine J. and Davis W.R. (1969). J. Math. Phys. 10: 617 MATHCrossRefMathSciNetADSGoogle Scholar
  73. 73.
    Zimdahl W. and Balakin A.B. (2001). Phys. Rev. D 63: 023507 CrossRefADSGoogle Scholar
  74. 74.
    Zimdahl W. and Balakin A.B. (2002). Entropy 4: 49 MATHCrossRefADSGoogle Scholar
  75. 75.
    Zimdahl W., Balakin A.B., Schwarz D.J. and Pavon D. (2002). Gravit. Cosmol. 8: 158 Google Scholar
  76. 76.
    Herrera L. and Jimenez J. (1983). Phys. Rev. D 28: 2987 CrossRefADSMathSciNetGoogle Scholar
  77. 77.
    Herrera L. and Poncede Leon L. (1985). J. Math. Phys. 26: 778–784 CrossRefADSMathSciNetGoogle Scholar
  78. 78.
    Duggal K.L. and Sharma R. (1986). J. Math. Phys. 27: 2511 MATHCrossRefADSMathSciNetGoogle Scholar
  79. 79.
    Coley A.A. and Tupper B.O.J. (1989). J. Math. Phys. 30: 2616 MATHCrossRefADSMathSciNetGoogle Scholar
  80. 80.
    Mason D.P. and Maartens R. (1987). J. Math. Phys. 28: 2182 MATHCrossRefADSMathSciNetGoogle Scholar
  81. 81.
    Maartens R., Mason D.P. and Tsamparlis M. (1987). J. Math. Phys. 273: 2987 MathSciNetGoogle Scholar
  82. 82.
    Coley AA. and Tupper B.O.J. (1990). Class. Quantum Grav. 7: 2195 MATHCrossRefADSMathSciNetGoogle Scholar
  83. 83.
    Maartens R., Maharaj S.D. and Tupper B.O.J. (1995). Class. Quantum Grav. 12: 2577 MATHCrossRefADSMathSciNetGoogle Scholar
  84. 84.
    Carot J., Coley A.A. and Sintes A. (1996). Gen. Rel. Grav. 28: 311 MATHCrossRefMathSciNetADSGoogle Scholar
  85. 85.
    Yilmaz I. (2005). Phys. Rev. D 71: 103503 CrossRefADSMathSciNetGoogle Scholar
  86. 86.
    Yilmaz I. (2006). Gen. Rel. Grav 38: 1397–1406 MATHCrossRefADSMathSciNetGoogle Scholar
  87. 87.
    Yavuz I., Yilmaz I. and Baysal H. (2005). Int. J. Mod. Phys. D 14: 1365–1372 MATHCrossRefADSGoogle Scholar
  88. 88.
    Mak M.K. and Harko T. (2004). Int. J. Mod. Phys. D 13: 149 MATHCrossRefADSGoogle Scholar
  89. 89.
    Barrow, J.D., Maartens, R., Tsagas, C.G.: astro-ph/0611537 (2006)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of Mathematics, Arts and Sciences FacultyÇanakkale Onsekiz Mart UniversityÇanakkaleTurkey
  2. 2.Department of Physics, Arts and Sciences FacultyÇanakkale Onsekiz Mart UniversityÇanakkaleTurkey

Personalised recommendations