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Particle production in higher derivative theory

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Abstract

The effect of particle production on the evolution of the spatially flat Friedmann-Lemaitre-Robertson-Walker cosmological model during the early stages of the universe is analysed in the framework of higher derivative theory. The universe has been considered as an open thermodynamic system where particle production gives rise to a supplementary negative creation pressure in addition to the thermodynamic pressure. The dynamical behaviour of both exponential as well as power law solutions have been discussed.

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References

  1. A H Guth, Phys. Rev. D23, 347 (1981)

    ADS  Google Scholar 

  2. A D Linde, Rep. Prog. Phys. 47, 925 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  3. B Hartle and S W Hawking Phys. Rev. D28, 2960 (1983)

    ADS  MathSciNet  Google Scholar 

  4. S W Hawking, Nucl. Phys. B239, 257 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  5. A Vilenkin, Phys. Rev. D32, 2511 (1985)

    ADS  MathSciNet  Google Scholar 

  6. M Bardeen, P J Steinhardt and M S Turner, Phys. Rev. D28, 679 (1983)

    ADS  Google Scholar 

  7. R Brandenberger and R Khan, Phys. Rev. D29, 2172 (1984)

    ADS  Google Scholar 

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

    Article  MATH  ADS  MathSciNet  Google Scholar 

  9. P G Bergmann, Int. J. Theor. Phys. 1, 25 (1968)

    Article  Google Scholar 

  10. K Nortvedt, Astrophys. J. 161, 1059 (1970)

    Article  ADS  MathSciNet  Google Scholar 

  11. R V Wagoner, Phys. Rev. D1, 3209 (1970)

    ADS  Google Scholar 

  12. R Utiyama and B S De Witt, J. Math. Phys. 3, 608 (1962)

    Article  MATH  ADS  Google Scholar 

  13. S Nariai and K Tomita, Prog. Theor. Phys. 46, 776 (1971)

    Article  ADS  Google Scholar 

  14. M B Mijic, M S Morris and W M Suen, Phys. Rev. D34, 2934 (1996)

    ADS  Google Scholar 

  15. M Kenmoku, K Otsuki, K Shigemoto and K Uehara, Class. Quantum Gravit. 13, 1751 (1996)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. B C Paul, S Mukherjee and A Beesham Int. J. Mod. Phys. 7, 499 (1998)

    MATH  ADS  MathSciNet  Google Scholar 

  17. Ya B Zel’dovich JEPT Lett. 12, 307 (1970)

    ADS  Google Scholar 

  18. L Parker, Phys. Rev. D3, 346 (1971)

    ADS  Google Scholar 

  19. R Brout, F Englert and E Gunzig, Gen. Relativ. Gravit. 1, 1 (1979)

    Article  ADS  Google Scholar 

  20. I Prigogine, J Geheniau, E Gunzig and P Nordone Gen. Relativ. Gravit. 21, 767 (1989)

    Article  MATH  ADS  Google Scholar 

  21. M O Calvao, J A S Lima and I Waga Phys. Lett. A162, 223 (1992)

    ADS  Google Scholar 

  22. J Triginer and D Pavon, Gen. Relativ. Gravit. 26, 513 (1994)

    Article  MATH  ADS  Google Scholar 

  23. M S Berman and M M Som, Gen. Relativ. Gravit. 22, 625 (1990)

    Article  ADS  MathSciNet  Google Scholar 

  24. A Beesham Gen. Relativ. Gravit. 25, 561 (1993)

    Article  ADS  Google Scholar 

  25. V B Johri and D Kalyani, Gen. Relativ. Gravit. 26, 1217 (1994)

    Article  ADS  Google Scholar 

  26. M S Madsen, The Dynamic Cosmos (Chapman and Hall, Madras, 1995)

    MATH  Google Scholar 

  27. R Maartens, in Proceedings of the Hanno Rund Conference on relativity and thermodynamics edited by S D Maharaj (Natal Univ., South Africa, 1996)

    Google Scholar 

  28. S Weinberg, Gravitation and Cosmology (John Wiley, New York, 1972)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Visvesvaraya Regional College of Engineering, 440 011, Nagpur, India

    G P Singh, A Beesham & R V Deshpande

  2. Department of Applied Mathematics, University of Zululand, Private Bag X1001, 3886, Kwa-Dlangezwa, South Africa

    G P Singh & A Beesham

  3. Department of Mathematics, Priyadarshini College of Engineering and Architecture, Nagpur

    R V Deshpande

Authors
  1. G P Singh
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  2. A Beesham
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  3. R V Deshpande
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Singh, G.P., Beesham, A. & Deshpande, R.V. Particle production in higher derivative theory. Pramana - J Phys 54, 729–736 (2000). https://doi.org/10.1007/s12043-000-0118-x

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  • DOI: https://doi.org/10.1007/s12043-000-0118-x

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