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Spatially-Hyperbolic Friedmann–Robertson–Walker Universe with Potentially Broken Z 2−Symmetry

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Abstract

For the Friedmann–Robertson–Walker (FRW) Universe with negative curvature, sustained by a spontaneous Z 2− symmetry breaking scalar field, depending on time alone, we have derived the Einstein–Gordon system of equations. For physically relevant cases, the matter-curvature system have been numerically analyzed.

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References

  1. Coleman, S.: Aspects of Symmetry: Selected Erice Lectures. Cambridge University Press, Cambridge (1988)

    MATH  Google Scholar 

  2. Goldstone, J.: Field theories with superconductor solutions. Nuovo Cimento 19, 154–164 (1961)

    Article  MathSciNet  MATH  Google Scholar 

  3. Goldstone, J., Salam, A., Weinberg, S.: Broken symmetries. Phys. Rev. 127, 965–970 (1962)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Nambu, Y.: Quasiparticles and Gauge invariance in the theory of superconductivity. Phys. Rev. 117, 648–663 (1960)

    Article  ADS  MathSciNet  Google Scholar 

  5. Anderson, P.W.: Plasmons, Gauge invariance, and mass. Phys. Rev. 130, 439–442 (1962)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Higgs, P.W.: Broken symmetries and the masses of Gauge bosons. Phys. Rev. Lett. 13, 508–509 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  7. Guralnik, G.S., Hagen, C.R., Kibble, T.W.B.: Global conservation laws and massless particles. Phys. Rev. Lett. 13, 585–587 (1964)

    Article  ADS  Google Scholar 

  8. Kibble, T.W.B.: Symmetry breaking in non-Abelian Gauge theories. Phys. Rev. 155, 1554–1561 (1967)

    Article  ADS  Google Scholar 

  9. Weinberg, S.: A model of leptons. Phys. Rev. Lett. 19, 1264–1266 (1967)

    Article  ADS  Google Scholar 

  10. Griffiths, D.: Introduction to Elementary Particles. Wiley-VCH, Weinheim (2008)

    MATH  Google Scholar 

  11. Linde, A.D.: Particle Physics and Inflationary Cosmology. Harwood, Chur (1990)

    Book  Google Scholar 

  12. Dimopoulos, S., Georgi, H.: Softly broken supersymmetry and S U(5). Nucl. Phys. B 193, 150–162 (1981)

    Article  ADS  Google Scholar 

  13. Banks, T.: Heretics of the false vacuum: Gravitational effects on and of vacuum decay 2. arXiv:hep-th/0211160 (2002)

  14. Dariescu, C.: Higgs-anti-de Sitter spacetime bubbles from spontaneous Z(2)-violation at electroweak symmetry breaking scale. Int. J. Mod. Phys. D 13, 641–657 (2004)

    Article  ADS  MATH  Google Scholar 

  15. Guth, A.H.: Inflationary universe: A possible solution to the horizon and flatness problems. Phys. Rev. D 23, 347–356 (1981)

    Article  ADS  Google Scholar 

  16. Linde, A.D.: A new inflationary Universe scenario: A possible solution to the flatness, horizon, homogeneity, isotropy and primordial monopole problems. Phys. Lett. B 108, 389–393 (1982)

    Article  ADS  MathSciNet  Google Scholar 

  17. Linde, A.D.: Chaotic inflation. Phys. Lett. B 129, 177–181 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  18. Gibbons, G.W., Hawking, S.W.: Cosmological event horizons, thermodynamics, and particle creation. Phys. Rev. D 15, 2738–2751 (1977)

    Article  ADS  MathSciNet  Google Scholar 

  19. Dariescu, C., Dariescu, M.A.: From nucleation to inflation - a better timing. Int. J. Nonlinear Sci. Numer. Simul. 9, 1–8 (2008)

    Article  MATH  Google Scholar 

  20. Kallosh, R., Linde, A., Scalisi, M.: Inflation, de Sitter landscape and super-Higgs effect. JHEP 1503, 111 (2015)

    Article  MathSciNet  Google Scholar 

  21. Kallosh, R., Linde, A.: Inflation and uplifting with nilpotent superfields. JCAP 1501, 025 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  22. Bodnarescu, A., Dariescu, M.A.: Spatially hyperbolic Universes with fundamental matter sources. Rom. J. Phys. (in press), http://www.nipne.ro/rjp/acceptedpapers.html(2015)

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Acknowledgments

AB work was supported by the strategic grant POSDRU/159/1.5/S/137750, Project Doctoral and Postdoctoral programs–support for increased competitiveness in Exact Sciences research?cofinanced by the European Social Found within the Sectorial Operational Program Human Resources Development 2007–2013.

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Correspondence to Marina–Aura Dariescu.

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Dariescu, C., Bodnarescu, A. & Dariescu, M. Spatially-Hyperbolic Friedmann–Robertson–Walker Universe with Potentially Broken Z 2−Symmetry. Int J Theor Phys 55, 4109–4123 (2016). https://doi.org/10.1007/s10773-016-3039-2

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  • DOI: https://doi.org/10.1007/s10773-016-3039-2

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