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Exact Causal Viscous Cosmologies

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Abstract

The general exact solution of the gravitational field equations for a homogeneous flat Friedmann-Robertson-Walker universe filled with a causal bulk viscous fluid with bulk viscosity coefficient proportional to the Hubble function is obtained in the framework of the full causal Israel-Stewart-Hiscock theory. The general solution of the field equations is represented in an exact closed parametric form and corresponds to a transition between two Minkowskian space-times connected by an inflationary period. The evolution of the temperature, entropy, deceleration parameter and bulk viscosity coefficient are considered in the general case. Particular solutions corresponding to a particular choice of parameters and leading to a non-inflationary evolution of the universe are presented too.

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REFERENCES

  1. Barrow, J. D. (1996). Class. Quantum Grav. 13, 2965.

    Google Scholar 

  2. Chimento, L. P., and Jakubi, A. S. (1997). Class. Quantum Grav. 14, 1811.

    Google Scholar 

  3. Chimento, L. P., and Jakubi, A. S. (1997). Preprint gr-qc/9705045.

  4. Chimento, L. P., and Jakubi, A. S. (1993). Class. Quantum Grav. 10, 2047.

    Google Scholar 

  5. Chimento, L. P., and Jakubi, A. S. (1996). Phys. Lett. A 212, 320.

    Google Scholar 

  6. Eckart, C. (1940). Phys. Rev. 58, 919.

    Google Scholar 

  7. Hiscock, W. A., and Lindblom, L. (1987). Phys. Rev. D 35, 3723.

    Google Scholar 

  8. Hiscock, W. A., and Lindblom, L. (1989). Ann. Phys. (NY) 151, 466.

    Google Scholar 

  9. Hiscock, W. A., and Salmonson, J. (1991). Phys. Rev. D 43, 3249.

    Google Scholar 

  10. Israel, W. (1976). Ann. Phys. (NY) 100, 310.

    Google Scholar 

  11. Israel, W., and Stewart, J. M. (1976). Phys. Lett. A 58, 213.

    Google Scholar 

  12. Landau, L. D., and Lifshitz, E.M. (1987). Fluid Mechanics (Butterworth Heinemann, London).

    Google Scholar 

  13. Misner, C. W. (1967). Phys. Rev. Lett. 19, 533.

    Google Scholar 

  14. Maartens, R. (1995). Class. Quantum Grav. 12, 1455.

    Google Scholar 

  15. Maartens, R., and Mendez, V. (1997). Phys. Rev. D 55, 1937.

    Google Scholar 

  16. Romano, V., and Pavón, D. (1993). Phys. Rev. D 47, 1396.

    Google Scholar 

  17. Zimdahl, W. (1996). Phys. Rev. D 53, 5483.

    Google Scholar 

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Mak, M.K., Harko, T. Exact Causal Viscous Cosmologies. General Relativity and Gravitation 30, 1171–1186 (1998). https://doi.org/10.1023/A:1026690710970

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  • DOI: https://doi.org/10.1023/A:1026690710970

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