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Plane Symmetric String Cosmological Model in Modified Theory of General Relativity

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Abstract

It is shown that homogeneous plane symmetric string cosmological model for Takabayasi string i.e. ρ=(1+ω)λ does not exist in Barber’s second self creation theory. Further it is found that the string cosmological model in this theory exist only when ω=0. Therefore model for ρ=λ (geometric string) is constructed. Some physical and geometrical properties of the model are discussed.

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References

  1. Bali, R., Dave, S.: Pramana J. Phys. 56, 513 (2001)

    Article  ADS  Google Scholar 

  2. Bali, R., Upadhaya, R.D.: Astrophys. Space Sci. 288, 287 (2003)

    Article  MATH  ADS  Google Scholar 

  3. Banerjee, A., Sanyal, A.K., Chakraborty, S.: Pramana J. Phys. 34, 1 (1990)

    Article  ADS  Google Scholar 

  4. Barber, G.A.: Gen. Relativ. Gravit. 14, 117 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  5. Baysal, H., Yavuz, I., Tarhan, I., Camci, U., Yilmaz, I.: Turk. J. Phys. 25, 283–292 (2001)

    ADS  Google Scholar 

  6. Bhattacharya, S., Karade, T.M.: Astrophys. Space Sci. 202, 69 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  7. Brans, C.: Gen. Relativ. Gravit. 19, 949 (1987)

    Article  ADS  MathSciNet  Google Scholar 

  8. Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. Carvalho, J.C.: Int. J. Theor. Phys. 35, 2019 (1996)

    Article  MATH  Google Scholar 

  10. Chakraborty, S.: Astrophys. Space Sci. 180, 293 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  11. Chakraborty, S.: Indian J. Pure Appl. Phys. 29, 31 (1991)

    ADS  Google Scholar 

  12. Chakraborty, A., Chakraborty, A.K.: J. Math. Phys. 33, 2336 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  13. Everett, A.E.: Phys. Rev. D 24, 858–868 (1981)

    Article  ADS  Google Scholar 

  14. Kaiser, N., Stebbins, A.: Nature 310, 391–393 (1984)

    Article  ADS  Google Scholar 

  15. Kibble, T.W.B.: J. Phys. A 9, 1387–1398 (1976)

    ADS  Google Scholar 

  16. Kilnic, C.B., Yavuz, I.: Astrophys. Space Sci. 238, 239 (1996)

    Article  ADS  Google Scholar 

  17. Krori, K.D., Chaudhury, T., Mahanta, C.R., Mazumdar, A.: Gen. Relativ. Gravit. 22, 123 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  18. Krori, K.D., Chaudhury, T., Mahanta, C.R.: Gen. Relativ. Gravit. 26, 265 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  19. Letelier, P.S.: Phys. Rev. D 20, 1294–1302 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  20. Letelier, P.S.: Phys. Rev. D 28, 2414 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  21. Mohanty, G., Mishra, B., Das, R.: Bull. Inst. Math. Acad. Sin. 28, 43 (2000)

    MATH  MathSciNet  Google Scholar 

  22. Mohanty, G., Panigrahi, U.K., Sahu, R.C.: Astrophys. Space Sci. 281, 633 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. Mohanty, G., Sahu, R.C., Panigrahi, U.K.: Astrophys. Space Sci. 284, 1055 (2003)

    Article  MATH  ADS  Google Scholar 

  24. Nevin, J.M.: Gen. Relativ. Gravit. 23, 253 (1991)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. Panigrahi, U.K., Sahu, R.C.: Czech. J. Phys. 54, 543 (2004)

    Article  ADS  Google Scholar 

  26. Pimentel, L.O.: Astrophys. Space Sci. 116, 395 (1985)

    ADS  MathSciNet  Google Scholar 

  27. Ram, S., Singh, P.: Astrophys. Space Sci. 200, 35 (1993)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  28. Ram, S., Singh, C.P.: Astrophys. Space Sci. 257, 123 (1998)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. Sahu, R.C., Mohanty, G.: Astrophys. Space Sci. 306, 179 (2006)

    Article  MATH  ADS  Google Scholar 

  30. Shanti, K., Rao, V.U.M.: Astrophys. Space Sci. 179, 147 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  31. Singh, J.K.: Astrophys. Space Sci. 281, 585 (2002)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  32. Soleng, H.H.: Astrophys. Space Sci. 102, 67 (1987)

    Google Scholar 

  33. Soleng, H.H.: Astrophys. Space Sci. 139, 373 (1987)

    Article  ADS  Google Scholar 

  34. Stachel, J.: Phys. Rev. D 21, 2171 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  35. Takabayasi, T.: In: Flato, M., et al. (eds.) Quantum Mechanics, Determinism, Causality and Particles, p. 179. Reidel, Dordreclit (1976)

    Google Scholar 

  36. Tikekar, R., Patel, L.K.: Gen. Relativ. Gravit. 24, 397 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  37. Tikekar, R., Patel, L.K., Dadhich, N.: Gen. Relativ. Gravit. 26, 647 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  38. Venkateswarlu, R., Rao, V.U.M., Pavan Kumar, K.: Int. J. Theor. Phys. (2007). DOI:10.1007/s10773-007-9488-x

    Google Scholar 

  39. Venkateswarlu, R., Reddy, D.R.K.: Astrophys. Space Sci. 168, 193 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  40. Vilenkin, A.: Phys. Rev. D 23, 852–857 (1981)

    Article  ADS  Google Scholar 

  41. Vilenkin, A.: Phys. Rev. D 24, 2082–2089 (1981)

    Article  ADS  Google Scholar 

  42. Vilenkin, A.: Phys. Rev. Lett. 46, 1169–1172 (1981)

    Article  ADS  Google Scholar 

  43. Vilenkin, A., Shafi, Q.: Phys. Rev. Lett. 51, 1716–1719 (1983)

    Article  ADS  Google Scholar 

  44. Wang, X.X.: Chin. Phys. Lett. 20, 615 (2003)

    Article  ADS  Google Scholar 

  45. Wang, X.X.: Astrophys. Space Sci. 298, 433–440 (2005)

    Article  MATH  ADS  Google Scholar 

  46. Yavuz, I., Tarhan, I.: Astrophys. Space Sci. 240, 45 (1996)

    Article  MATH  ADS  Google Scholar 

  47. Zeldovich, Ya.B.: Mon. Not. R. Astron. Soc. 192, 663–667 (1980)

    ADS  Google Scholar 

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Authors and Affiliations

  1. P.G. Department of Mathematics, Sambalpur University, Jyotivihar, 768019, Orissa, India

    G. Mohanty & K. L. Mahanta

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  1. G. Mohanty
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  2. K. L. Mahanta
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Correspondence to K. L. Mahanta.

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Mohanty, G., Mahanta, K.L. Plane Symmetric String Cosmological Model in Modified Theory of General Relativity. Int J Theor Phys 47, 2430–2435 (2008). https://doi.org/10.1007/s10773-008-9676-3

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  • DOI: https://doi.org/10.1007/s10773-008-9676-3

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