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Singularity-Free Cosmological Solutions with Non-Rotating Perfect Fluids

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Abstract

The paper establishes the result that solutions of the type described in the title of the article are in essence only those that have been already presented in the literature provided the acceleration vector is hypersurface orthogonal. The procedure adopted in the paper is somewhat novel - while the usual practice is to display an exact solution and then to examine whether it is singularity free, the present paper discovers the conditions which a singularity free solution of the desired type must satisfy. There is no attempt to obtain exact solutions. Simply, the conditions that were ad-hoc introduced in the deduction of singularity free solutions are here shown to follow from the requirement of non-singularity.

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REFERENCES

  1. Senovilla, J. M. M. (1990); Phys. Rev. Lett. 64, 2219; see also the review: Senovilla, J. (1998). Gen. Rel. Grav. 30, 701.

    Google Scholar 

  2. Ruiz, E., and Senovilla, J. M. M. (1992). Phys. Rev. D 45, 1995.

    Google Scholar 

  3. Mars, M. (1995). Phys. Rev. D 51, R3989.

    Google Scholar 

  4. Fernandez-Jambrina, L. (1997). Class. Quant. Grav. 14, 407.

    Google Scholar 

  5. Earman, J. (1998). In The Expanding World of General Relativity, Einstein studies 7th ed., H. Goenner, J. Rekh, T. Saur (Eds.), Birkh¨auser Verlag, Boston, Massachusetts.

    Google Scholar 

  6. Dadhich, N., Patel, L. K., and Tikekar, R. (1995). Pramana-J. Phys. 44, 303.

    Google Scholar 

  7. Molina, A., and Senovilla, J. M. M. (Eds.), (1999). Inhomogeneous Cosmological Models, World Scientific, Singapore, pp. 63–74.

    Google Scholar 

  8. Senovilla, J. M. M. (1996). Phys. Rev. D 53, 1799.

    Google Scholar 

  9. Mars, M. (1995). Class. Quantum. Grav. 12, 2841.

    Google Scholar 

  10. Raychaudhuri, A. K. (1998). Phys. Rev. Lett. 80, 654.

    Google Scholar 

  11. Raychaudhuri, A. K. (2000). Mod. Phys. Lett A 15, 391.

    Google Scholar 

  12. Eisenhart, L. P. (1950). Riemannian Geometry, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  13. Sachs, R. K. (Ed.) (1991). General Relativity and Cosmology, Proceedings of the International School of Physics, 'Enrico Fermi' Course XLVII,. Academic Press, New York.

    Google Scholar 

  14. Fernandez-Jambrina, L., and Gonzales-Romero, L. M. (1999). Class. Quant. Grav. 16, 953.

    Google Scholar 

  15. Griffiths, J. B., and Bicak, J. (1995). Class. Quant. Grav. 12, L81.

    Google Scholar 

  16. Wainwright, J. Ince, W. C. W., and Marshman, B. J. (1979). Gen. Rel. Grav. 10, 259.

    Google Scholar 

  17. Dadhich, N. (1997). J. Astrophys. Astron. 18, 343.

    Google Scholar 

  18. Dadhich, N., and Raychaudhuri, A. K. (1999). Mod. Phys. Lett. A 14, 2135.

    Google Scholar 

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  1. Relativity and Cosmological Center, Department of Physics, Jadavpur University, Kolkata, 700032, India

    A. K. Raychaudhuri

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  1. A. K. Raychaudhuri
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Raychaudhuri, A.K. Singularity-Free Cosmological Solutions with Non-Rotating Perfect Fluids. General Relativity and Gravitation 36, 343–359 (2004). https://doi.org/10.1023/B:GERG.0000010480.06584.d6

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  • DOI: https://doi.org/10.1023/B:GERG.0000010480.06584.d6

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