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Generating imperfect-fluid solutions

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Il Nuovo Cimento B (1971-1996)

Summary

A technique is developed by means of which from a vacuum solution in the most general scalar-tensor theories of gravitation a solution in general relativity with an imperfect fluid as the matter content is obtained. The fluid in the generated solution is Newtonian and irrotational. Two examples of the Bianchi type-I universe and one of the Kantowski-Sachs model are given. In the first two examples the well-known solutions of Belinskii and Khalatnikov are recovered.

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References

  1. G. L. Murphy:Phys. Rev. D,8, 4231 (1973).

    Article  ADS  Google Scholar 

  2. A. Banerjee andN. O. Santos:J. Math. Phys.,26, 878 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  3. V. A. Belinskii andI. M. Khalatnikov:Sov. Phys. JETP,45, 1 (1977).

    ADS  MATH  Google Scholar 

  4. V. A. Belinskii andI. M. Khalatnikov:Sov. Phys. JETP,42, 2051 (1976).

    Google Scholar 

  5. A. Banerjee, S. B. Duttachoudhury andA. K. Sanyal:J. Math. Phys.,26, 3010 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  6. A. Banerjee, S. B. Duttachoudhury andA. K. Sanyal:Gen. Rel. Grav.,18, 461 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  7. J. M. Bradley andE. Sviestins:Gen. Rel. Grav.,16, 1119 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. B. K. Nayak andB. K. Sahoo:Gen. Rel. Grav.,21, 211 (1989).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. S. S. Koppar andL. K. Patel:Acta Phys. Hungarica.,67, 297 (1990).

    MathSciNet  ADS  Google Scholar 

  10. L. O. Pimentel:Class. Quantum Grav.,6, L263 (1989).

    Article  MathSciNet  ADS  Google Scholar 

  11. C. M. Will:Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, 1981).

    Google Scholar 

  12. V. A. Ruban andA. M. Finkelstein:Lett. Nuovo Cimento,5, 289 (1972).

    Article  ADS  Google Scholar 

  13. L. E. Gurevich, A. M. Finkelstein andV. A. Ruban:Astrophys. Space Sci.,22, 231 (1973).

    Article  ADS  Google Scholar 

  14. R. N. Henriksen, A. G. Emslie andP. S. Wesson:Phys. Lett B,180, 231 (1986).

    Article  Google Scholar 

  15. P. S. Wesson:Phys. Rev. D,34, 3925 (1986).

    Article  MathSciNet  ADS  Google Scholar 

  16. J. Ponce de León:J. Math. Phys.,29, 2479 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. J. Ponce de León:J. Math. Phys.,31, 371 (1989).

    Article  ADS  Google Scholar 

  18. D. Lorentz-Petzold:Astrophys. Space Sci.,98, 101 (1984).

    Article  ADS  Google Scholar 

  19. B. C. Xantopoulos andT. Zannias:J. Math. Phys.,33, 1415 (1992).

    Article  MathSciNet  ADS  Google Scholar 

Download references

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Author notes

  1. L. O. Pimentel

    Present address: Departmento de Física, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-534, México, D.F., México

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    1. L. O. Pimentel
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    Pimentel, L.O. Generating imperfect-fluid solutions. Nuov Cim B 109, 247–254 (1994). https://doi.org/10.1007/BF02727288

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    • DOI: https://doi.org/10.1007/BF02727288

    PACS 04.20

    PACS 04.40

    PACS 04.50

    PACS 04.65

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