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Some Cosmological Models with Negative Potentials

Astrophysics Aims and scope

We investigate some cosmological models where the effective potential V (ϕ) may become negative for some values of field ϕ. Cosmological evolution in models with a minimum at V (ϕ) < 0 is similar in some respects to the evolution in models with potentials unbounded from below. In this case, instead of reaching an AdS regime dominated by the negative vacuum energy, the universe may reach a turning point where its energy density vanishes, and then it contracts to a singularity. In some cases such models may lead to a bounce.

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References

  1. A. D. Linde: Particle Physics and Inflationary Cosmology, Harwood Academic, Switzerland, 1990.

    Book  Google Scholar 

  2. D. H. Lyth and A. Riotto: Phys. Rep., 314, 1-146, 1999.

    Article  ADS  Google Scholar 

  3. A. R. Liddle and D. H. Lyth, Cosmological Inflation and Large Scale Structure, Cambrige University Press, 2000.

  4. G. Fedler, A. Frolov, L. Kofman et al., LITA-2002-2004, hepth/0202017 Cosmology with Negative potentials, 2004.

  5. A. D. Linde, Phys. Lett. B, 129, 177, 1983.

    Article  ADS  Google Scholar 

  6. A. D. Linde, JHEP. 0111, 052. [arxiv: hep-th/0110195] Fast-roll Inflation, 2001.

  7. A. de la Macorra, G. Germin, [arxiv: astro-ph/0212148] Cosmology for scalar fields with negative potentials and ωϕ < –1, 2002.

  8. R. Kallosh, A. D. Linde, S. Prokushkin et al., arxiv: hepth/0110089, 2001.

  9. G. Felder, A. Frolov, and L. Kofmani, arxiv:hep-th/0112165. warped geometry of brane worlds, 2001.

  10. P. J. Steinhardt, N. Turok, arxiv:hep-th/0111030. A cyclic model of the universe, 2001.

  11. J. Khoury, B. A. Ovrut, P. J. Steinhardt et al., arxiv:hep-th/0103239: The Ekpyrotic Universe: The colliding branes and the origin of hot big bang, 2001.

  12. R. C. Tolman, Relativity, Thermodynamics and Cosmology. Oxford university Press., U. K, 1934.

    MATH  Google Scholar 

  13. P. J. Steinhardt, N. Turok, Endless Universe, Doubleday, New York, 2007.

    Google Scholar 

  14. R. Penrose, Cycles of Time, Bodley Head, London, 2010.

    MATH  Google Scholar 

  15. M. Gasparini and G. Veneziano, Phys. Rep., 373, 1, 2003.

    Article  ADS  MathSciNet  Google Scholar 

  16. P. H. Frampton, Did Time Begin? Will Time End, World Sci. Publishers, Singapore, 2010.

    MATH  Google Scholar 

Download references

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Correspondence to T. Singh.

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Published in Astrofizika, Vol. 61, No. 3, pp. 439-454 (August 2018).

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Singh, T., Chaubey, R. & Singh, A. Some Cosmological Models with Negative Potentials. Astrophysics 61, 391–407 (2018). https://doi.org/10.1007/s10511-018-9545-6

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  • DOI: https://doi.org/10.1007/s10511-018-9545-6

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