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Dirac's cosmology with varying cosmological constant

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Abstract

The phenomenological approach to investigating the decay of the vacuum energy density is generalized in the spirit of Dirac's large number hypothesis. Different arguments are outlined to justify an universal dependence of the type λ=ΒH 2 (Β is a pure number andH is the Hubble parameter). Such time-varying A does change the predictions of the earlier Dirac's cosmology. The deceleration parameter (q 0=(2−Β)/(1+Β)) and the age parameter (H 0t0=(1+Β)/3) are now compatible with the observations. The model also allows a “power-law” inflationary phase and a rate of matter creation smaller than the one present in the steady state universe.

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References

  1. Dirac, P. A. M. (1937).Nature 139, 323.

    Google Scholar 

  2. Dirac, P. A. M. (1937).Nature 139, 1001.

    Google Scholar 

  3. Dirac, P. A. M. (1938).Proc. Roy. Soc. Lond. 165, 199.

    Google Scholar 

  4. Steigmann, G. (1978).Astrophys. J. 221, 407.

    Article  Google Scholar 

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

    Google Scholar 

  6. de Vaucoulers, G. (1986). InGalaxy Distances and Deviations from Universal Expansion, ed. B. F. Madore and R. B. Tully (Reidel, Dordrecht).

    Google Scholar 

  7. Tammann, G. A. (1987). InRelativistic Astrophysics (Proc. 13th Texas Symposium, Chicago, Ill.), M. P. Ulmer, ed. (World Scientific, Singapore).

    Google Scholar 

  8. Freese, K., Adams, F. C., Frieman, J. A., and Mottola, E. (1987).Nucl. Phys. B287, 776.

    Google Scholar 

  9. Ozer, M., and Taha, M. O. (1987).Nucl. Phys. B287, 776.

    Article  Google Scholar 

  10. Chen, W., and Wu, Y. S. (1990).Phys. Rev. D 41, 695.

    Google Scholar 

  11. Abdel-Rahman, A. M. M. (1992).Phys. Rev. D 45, 3497.

    Google Scholar 

  12. Carvalho, J. C., Lima, J. A. S., and Waga, I. (1992).Phys. Rev. D 46, 2404.

    Google Scholar 

  13. Lima, J. A. S., and Maia, J. M. F. (1993).Mod. Phys. Lett. A 8, 591.

    Google Scholar 

  14. Zel'dovich, Ya. B. (1968).Sov. Phys. Usp. 11, 382.

    Google Scholar 

  15. Zee, A. (1985). InHigh Energy Physics (Proc. 20th Annual Orbis Scientiae), B. Kursunoglu, S. L. Mintz and A. Pelmutter, eds. (Plenum, New York).

    Google Scholar 

  16. Weinberg, S. (1989).Rev. Mod. Phys. 61, 1.

    Article  Google Scholar 

  17. Berman, M. S. (1990).Int. J. Theor. Phys. 29, 567.

    Article  Google Scholar 

  18. Will, C. M. (1987).Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge).

    Google Scholar 

  19. Lucchin, F., and Matarrese, S. (1985).Phys. Lett. B164, 282.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Departamento de Fisica, UFRN, C.P.1641, 59072-970, Natal RN, Brazil

    J. A. S. Lima & J. C. Carvalho

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  1. J. A. S. Lima
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  2. J. C. Carvalho
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Lima, J.A.S., Carvalho, J.C. Dirac's cosmology with varying cosmological constant. Gen Relat Gravit 26, 909–916 (1994). https://doi.org/10.1007/BF02107147

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