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Stabilizing oscillating universes against quantum decay

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Published 7 July 2015 • , ,

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Author e-mails

audrey.todhunter@tufts.edu

vilenkin@cosmos.phy.tufts.edu

Author affiliations

Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, MA 02155, U.S.A.

Dates

Received 9 March 2015
Accepted 26 May 2015
Published

Citation

Audrey T. Mithani and Alexander Vilenkin JCAP07(2015)010

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DOI

https://doi.org/10.1088/1475-7516/2015/07/010

E-print

http://arxiv.org/abs/1407.5361

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1475-7516/2015/07/010

Abstract

We investigate the effect of vacuum corrections, due to the trace anomaly and Casimir effect, on the stability of an oscillating universe with respect to decay by tunneling to the singularity. We find that these corrections do not generally stabilize an oscillating universe. However, stability may be achieved for some specially fine-tuned non-vacuum states.

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References

  • [1]
    D.J. Mulryne, R. Tavakol, J.E. Lidsey and G.F.R. Ellis, 2005 An Emergent Universe from a loop, Phys. Rev. D 71 123512 [astro-ph/0502589]

    CrossrefPreprint

  • [2]
    S. del Campo, E.I. Guendelman, A.B. Kaganovich, R. Herrera and P. Labrana, 2011 Emergent Universe from Scale Invariant Two Measures Theory, Phys. Lett. B 699 211 [1105.0651]

    CrossrefPreprint

  • [3]
    P. Wu and H.W. Yu, 2010 Emergent universe from the Hořava-Lifshitz gravity, Phys. Rev. D 81 103522 [0909.2821]

    CrossrefPreprint

  • [4]
    P.W. Graham, B. Horn, S. Kachru, S. Rajendran and G. Torroba, 2014 A Simple Harmonic Universe J. High Energy Phys. JHEP02(2014)029 [1109.0282]

    CrossrefPreprint

  • [5]
    M.P. Dabrowski, 1996 Oscillating Friedman cosmology, Annals Phys. 248 199 [gr-qc/9503017]

    CrossrefPreprint

  • [6]
    A.T. Mithani and A. Vilenkin, 2014 Instability of an emergent universe J. Cosmol. Astropart. Phys. 2014 05 006 [1403.0818]

    IOPsciencePreprint

  • [7]
    P.W. Graham, B. Horn, S. Rajendran and G. Torroba, 2014 Exploring eternal stability with the simple harmonic universe J. High Energy Phys. JHEP08(2014)163 [1405.0282]

    CrossrefPreprint

  • [8]
    A.T. Mithani and A. Vilenkin, 2012 Collapse of simple harmonic universe J. Cosmol. Astropart. Phys. 2012 01 028 [1110.4096]

    IOPsciencePreprint

  • [9]
    M.P. Dabrowski and A.L. Larsen, 1995 Quantum tunneling effect in oscillating Friedmann cosmology, Phys. Rev. D 52 3424 [gr-qc/9504025]

    CrossrefPreprint

  • [10]
    A.T. Mithani and A. Vilenkin, 2015 Tunneling decay rate in quantum cosmology, Phys. Rev. D 91 123511 [1503.00400]

    CrossrefPreprint

  • [11]
    N.D. Birrell and P.C.W. Davies, 1982 Quantum Fields in Curved Space, Cambridge University Press, Cambridge, U.K.

    Crossref

  • [12]
    A.A. Grib, S.G. Mamaev and V.M. Mostepanenko, 1980 Vacuum quantum effects in strong external fields, Atomizdat, Moscow, Russia
  • [13]
    A.A. Starobinsky, 1980 A New Type of Isotropic Cosmological Models Without Singularity, Phys. Lett. B 91 99

    Crossref

  • [14]
    C.A.R. Herdeiro and M. Sampaio, 2006 Casimir energy and a cosmological bounce, Class. Quant. Grav. 23 473 [hep-th/0510052]

    IOPsciencePreprint

  • [15]
    A. Vilenkin, 1989 The Interpretation of the Wave Function of the Universe, Phys. Rev. D 39 1116

    Crossref

  • [16]
    J.J. Halliwell, The Interpretation of quantum cosmology and the problem of time, [gr-qc/0208018]

    Preprint

  • [17]
    S.W. Hawking and D.N. Page, 1986 Operator Ordering and the Flatness of the Universe, Nucl. Phys. B 264 185

    Crossref

  • [18]
    B.S. DeWitt, 1967 Quantum Theory of Gravity. 1. The Canonical Theory, Phys. Rev. 160 1113

    Crossref

  • [19]
    M.V. Fischetti, J.B. Hartle and B.L. Hu, 1979 Quantum Effects in the Early Universe. 1. Influence of Trace Anomalies on Homogeneous, Isotropic, Classical Geometries, Phys. Rev. D 20 1757

    Crossref

  • [20]
    A.O. Barvinsky and A.Y. Kamenshchik, 2006 Thermodynamics via Creation from Nothing: Limiting the Cosmological Constant Landscape, Phys. Rev. D 74 121502 [hep-th/0611206]

    CrossrefPreprint

  • [21]
    T. Damour and P. Spindel, 2014 Quantum Supersymmetric Bianchi IX Cosmology, Phys. Rev. D 90 103509 [1406.1309]

    CrossrefPreprint

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