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Charge Analogue of Tolman IV Solution for Anisotropic Fluid

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Abstract

In this paper, we present an anisotropic analogue of charged Tolman’s solution of the general relativistic field equations in curvature coordinates compatible with a super dense star model. These exact solutions are well behaved in all respect for a wide range of anisotropy parameter and charged parameter. We found that new solutions have advantages for modeling super-dense stars as neutron stars and quark stars because they have wide range of masses and radii with a simple mathematical expression.

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References

  1. Delgaty, M.S.R., Lake, K.: Comput. Phys. Commun. 115, 395 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. Stephani, H., Kramer, D., Maccallum, M., Hoenselaers, C., Herlt, E.: Exact Solutions of Einstein’s Field Equations, 2nd edn. Cambridge University Press, Cambridge (2003)

    Book  MATH  Google Scholar 

  3. Oppenheimer, J.R., Volkoff, G.M.: Phys. Rev. 55, 374 (1939)

    Article  MATH  ADS  Google Scholar 

  4. Bhattacharya, D., Van den Heuvel, E.P.J.: PRL 203 2(1-2), 1–124 (1991)

    Google Scholar 

  5. Weber, F.: Pulsars as Astrophysical Observatories for Nuclear and Particle Physics. Institute of Physics Publishing, Bristol (1999)

    Google Scholar 

  6. Pacini, F.: Nature 219, 145–146 (1968)

    Article  ADS  Google Scholar 

  7. Gold, T.: Nature 218, 731–732 (1968)

    Article  ADS  Google Scholar 

  8. Kippenhahn, R., Weigert, A.: Stellar Structure and Evolution. Springer, Berlin (1990)

    Book  MATH  Google Scholar 

  9. Migdal, A.B.: Nucl. Phys. 13, 655–674 (1959)

    Article  MATH  MathSciNet  Google Scholar 

  10. Ginzburg, V.L., Kirzhnits, D.A.: Zh. Teor. Eksper. Fiz. 47, 2006–2007 (1964)

    Google Scholar 

  11. Wolf, R.A.: Astrophys. J. 145, 834–841 (1966)

    Article  ADS  Google Scholar 

  12. Bahcall, J.N., Wolf, R.A.: Phys. Rev. 140, B1452—B1466 (1965a)

    ADS  Google Scholar 

  13. Migdal, A.B.: Zh. Eksp. Teor. Fiz. 61, 2209–2224 (1971)

    Google Scholar 

  14. Migdal, A.B.: Zh. Eksp. Teor. Fiz. 63, 1993–1999 (1972)

    Google Scholar 

  15. Sawyer, R.F.: Phys. Rev. Lett. 29, 382–385 (1972b)

    Article  ADS  Google Scholar 

  16. Scalapino, D.J.: Phys. Rev. Lett. 29, 386–388 (1972)

    Article  ADS  Google Scholar 

  17. Haensel, P., Schaeffer, R.: Nucl. Phys. A381(5), 19 (1982)

    Google Scholar 

  18. Kaplan, D.B., Nelson, A.E.: Phys. Lett. B 175, 57–63 (1986)

    Article  ADS  Google Scholar 

  19. Sokolov, A.I.: JETP Lett. 79, 1137 (1980)

    Google Scholar 

  20. Li, X.-D., Dai, Z.-G., Wang, Z.-R.: Astron. Astrophys. 301, L1 (1995)

    ADS  Google Scholar 

  21. Dey, M., Bombaci, I., Dey, J., Ray, S., Samantha, B.C.: Phys. Lett. B438, 123 (1998)

    Article  ADS  Google Scholar 

  22. Baym, G., Chin, S.A.: Phys. Lett. B 62, 241–244 (1976)

    Article  ADS  Google Scholar 

  23. Keister, BD, Kisslinger, L.S.: Phys. Lett. 64B, 117 (1976)

    Article  ADS  Google Scholar 

  24. Olinto, A.V.: Phys. Lett. B 192, 71–75 (1987)

    Article  ADS  Google Scholar 

  25. Olinto A.: Nucl. Phys. B 24, 103–109 (1991)

    Google Scholar 

  26. Doroba, W.: Acta Phys. Pol. B 20, 967–979 (1989)

    MathSciNet  ADS  Google Scholar 

  27. Heiselberg, H., Pethick C.J.: Phys. Rev. D 48, 2916–2928 (1993)

    Article  ADS  Google Scholar 

  28. Olesen, M.L., Madsen, J.: Nucl. Phys. B 24, 170–174 (1991)

    Google Scholar 

  29. Horvath, J.E., Benvenuto O.G.: Phys. Lett. B 213, 516–520 (1988)

    Article  ADS  Google Scholar 

  30. Benvenuto, O.G., Horvath, J.E., Vucetich H.: Int. J. Modern. Phys. 4, 257–265 (1989)

    Article  ADS  Google Scholar 

  31. Drago, A., Lavagno, A., Parenti, I.: astro-ph/0512652 (2005)

  32. Ruderman, R.: Annu. Rev. Astron. Atrophys. 10, 427 (1972)

    Article  ADS  Google Scholar 

  33. Bowers, R.L., Liang, E.P.T.: Astrophys. J. 188, 657 (1974)

    Article  ADS  Google Scholar 

  34. Usov, V.V.: Phys. Rev. D 70, 067–301 (2004)

    Article  Google Scholar 

  35. Ivanov, B.V.: Phys. Rev. D 65, 104001 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  36. Bonnor, W.B.: Mon. Not. R. Astron. Soc. 137, 239 (1965)

    Article  ADS  Google Scholar 

  37. Krsna, D., Gleiser, M.: Gen. Relativ. Gravit. 34.11, 1793–1818 (2002)

    Google Scholar 

  38. Krsna, D., Gleiser, M.: Gen. Relativ. Gravit. 35.8, 1435–1457 (2003)

    ADS  Google Scholar 

  39. Gleiser, M., Krsna, D.: IJMP D 13.07, 1389–1397 (2004)

    Article  ADS  Google Scholar 

  40. Pant, N., Tewari, B.C., Fuloria, P.: J. Mod. Phys. 2, 1538–1543 (2011a)

    Article  Google Scholar 

  41. Pant, N., Rajasekhara, S.: Astrophys. Space Sci. 333, 161–168 (2011b)

    Article  MATH  ADS  Google Scholar 

  42. Gupta, Y.K., Maurya, S.K.: Astrophys. Space Sci. 332.1, 155–162 (2011)

    Article  ADS  Google Scholar 

  43. Maurya, S.K., Gupta, Y.K.: Astrophys. Space Sci. 332, 481–490 (2011a)

    Article  ADS  Google Scholar 

  44. Maurya, S.K., Gupta, Y.K.: Astrophys. Space Sci. 332, 155–162 (2011b)

    Article  MATH  ADS  Google Scholar 

  45. Tolman, R.C.: Phys. Rev. 55, 364 (1939)

    Article  ADS  Google Scholar 

  46. Wyman, M.: Phys. Rev. 75, 1930 (1949)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  47. Kuchowicz, B.: Phys. Lett. A 35, 223 (1971)

    Article  ADS  Google Scholar 

  48. Kuchowicz, B.: Acta Phys. Pol. B 2, 657 (1971)

    MathSciNet  ADS  Google Scholar 

  49. Kuchowicz, B.: Phys. Lett. A 38, 369 (1972)

    Article  ADS  Google Scholar 

  50. Kuchowicz, B.: Acta Phys. Pol. B 3, 209 (1972)

    ADS  Google Scholar 

  51. Kuchowicz, B.: Acta Phys. Pol. B 4, 415 (1973)

    Google Scholar 

  52. Pant, D.N., Sah, A.: Phys. Rev. D 26.6, 1254 (1982)

    Article  MathSciNet  Google Scholar 

  53. Pant, D.N., Pant, N.: J. Math. Phys. 34, 2440 (1993)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  54. Pant, N.: Astrophys. Space Sci. 240, 187 (1996)

    Article  MATH  ADS  Google Scholar 

  55. Pant, N., Negi, P.S.: Astrophys. Space Sci. 338, 163 (2012)

    Article  ADS  Google Scholar 

  56. Malaver, M.: Res. J. Model. Simul. 1(3), 65–71 (2014)

    Google Scholar 

  57. Malaver, M.: Int. J. Astrophys. Space Sci. 3(1-1), 6–12 (2015)

    Google Scholar 

  58. Pant, N., Pradhan, N., Newton Singh, Ksh.: J. Grav. 380320, 9 (2014)

    Google Scholar 

  59. Pant, N., Pradhan, N., Malaver, M.: Int. J. Astrophys. Space Sci. 3(1-1), 1–5 (2015)

    Google Scholar 

  60. Newton Singh, Ksh., Pradhan, N., Malaver, M.: Int. J. Astrophys. Space Sci. 3(1-1), 13–20 (2015)

    Google Scholar 

  61. Pant, N.: Astrophys. Space Sci. 338, 163 (2012)

    Article  ADS  Google Scholar 

  62. Esculpi, M., Malaver, M., Aloma, E.: Gen. Relativ. Gravit. 39, 633–652 (2007)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  63. Bondi, H.: Proc. R. Soc. A 281, 39 (1964)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  64. Mao, S.: arXiv:1402.4564v2 (2014)

  65. Lim, et al.: Phys. Rev. C 89, 055804 (2014)

  66. Mak, M.K., Harko, T.: Chin. J. Astron. Astrophys. 2(3), 248–259 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  67. Maurya, S.K., Gupta, Y.K.: Phys. Scr. 86, 025009 (2012)

    Article  ADS  Google Scholar 

  68. Maurya, S.K., Gupta, Y.K.: Astrophys. Space Sci. 344, 243–251 (2013)

    Article  MATH  ADS  Google Scholar 

  69. Maurya, S.K., Gupta, Y.K.: Astrophys. Space Sci. 353, 657–665 (2014)

    Article  ADS  Google Scholar 

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Acknowledgments

Authors are grateful to the anonymous referees and editors for their rigorous review, constructive comments and useful suggestions.

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Correspondence to Ksh. Newton Singh.

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Singh, K.N., Pradhan, N. & Pant, N. Charge Analogue of Tolman IV Solution for Anisotropic Fluid. Int J Theor Phys 54, 3408–3423 (2015). https://doi.org/10.1007/s10773-015-2581-7

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  • DOI: https://doi.org/10.1007/s10773-015-2581-7

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