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TMF, 2008, Volume 155, Number 1, Pages 3–12 (Mi tmf6188)  

This article is cited in 34 scientific papers (total in 34 papers)

The null energy condition and cosmology

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Field theories that violate the null energy condition {(}NEC{\rm)} are of interest both for the solution of the cosmological singularity problem and for models of cosmological dark energy with the equation of state parameter $w<-1$. We consider two recently proposed models that violate the NEC. The ghost condensate model requires higher-derivative terms in the action, and this leads to a heavy ghost field and energy unbounded from below. We estimate the rates of particle decay and discuss possible mass limitations to protect the stability of matter in the ghost condensate model. The nonlocal stringy model that arises from a cubic string field theory and exhibits a phantom behavior also leads to energy unbounded from below. In this case, the energy spectrum is continuous, and there are no particle-like excitations. This model admits a natural UV completion because it comes from superstring theory.

Keywords: cosmology, string, D-brane

DOI: https://doi.org/10.4213/tmf6188

Full text: PDF file (461 kB)
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English version:
Theoretical and Mathematical Physics, 2008, 155:1, 503–511

Bibliographic databases:

Document Type: Article

Citation: I. Ya. Aref'eva, I. V. Volovich, “The null energy condition and cosmology”, TMF, 155:1 (2008), 3–12; Theoret. and Math. Phys., 155:1 (2008), 503–511

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Aref'eva I.Ya., Volovich I.V., “Quantization of the Riemann zeta-function and cosmology”, Int. J. Geom. Methods Mod. Phys., 4:5 (2007), 881–895  crossref  mathscinet  zmath  isi  scopus  scopus
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    3. Aref'eva I.Ya., Koshelev A.S., “Cosmological signature of tachyon condensation”, J. High Energy Phys., 2008, no. 9, 068, 20 pp.  crossref  mathscinet  zmath  isi  scopus
    4. Barnaby N., Kamran N., “Dynamics with infinitely many derivatives: variable coefficient equations”, J. High Energy Phys., 2008, no. 12, 022, 27 pp.  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    5. Mulryne D.J., Nunes N.J., “Diffusing nonlocal inflation: Solving the field equations as an initial value problem”, Phys. Rev. D, 78:6 (2008), 063519, 16 pp.  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    6. Aref'eva I.Ya., Volovich I.V., “Time machine at the LHC”, Int. J. Geom. Methods Mod. Phys., 5:4 (2008), 641–651  crossref  mathscinet  zmath  isi  scopus  scopus
    7. Barnaby N., Mulryne D.J., Nunes N.J., Robinson P., “Dynamics and stability of light-like tachyon condensation”, J. High Energy Phys., 2009, no. 3, 018, 28 pp.  crossref  isi  scopus  scopus
    8. I. V. Volovich, O. V. Groshev, N. A. Gusev, E. A. Kuryanovich, “On Solutions to the Wave Equation on a Non-globally Hyperbolic Manifold”, Proc. Steklov Inst. Math., 265 (2009), 262–275  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    9. Aref'eva I.Ya., Bulatov N.V., Joukovskaya L.V., Vernov S.Yu., “Null energy condition violation and classical stability in the Bianchi I metric”, Phys. Rev. D, 80:8 (2009), 083532, 13 pp.  crossref  mathscinet  adsnasa  isi  scopus  scopus
    10. Volovich I.V., “Time in Physics and Life Science”, Quantum Bio-Informatics II: From Quantum Information To Bio-Informatics, Qp-Pq Quantum Probability and White Noise Analysis, 24, 2009, 205–215  crossref  mathscinet  adsnasa  isi
    11. Vernov S.Yu., “Localization of nonlocal cosmological models with quadratic potentials in the case of double roots”, Classical Quantum Gravity, 27:3 (2010), 035006, 16 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    12. Kahya E.O., Onemli V.K., Woodard R.P., “Completely regular quantum stress tensor with $w<-1$”, Phys. Rev. D, 81:2 (2010), 023508, 10 pp.  crossref  adsnasa  isi  elib  scopus  scopus
    13. I. Ya. Aref'eva, N. V. Bulatov, S. Yu. Vernov, “Stable exact solutions in cosmological models with two scalar fields”, Theoret. and Math. Phys., 163:3 (2010), 788–803  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    14. Calcagni G., Nardelli G., “Nonlocal gravity and the diffusion equation”, Phys. Rev. D, 82:12 (2010), 123518, 17 pp.  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    15. Calcagni G., Nardelli G., “Cosmological rolling solutions of nonlocal theories”, Internat. J. Modern Phys. D, 19:3 (2010), 329–338  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    16. Vernov S.Yu., “Solutions of nonlocal cosmological equations”, XXIX Workshop on Geometric Methods in Physics, AIP Conference Proceedings, 1307, 2010, 185–190  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    17. S. Yu. Vernov, “Exact solutions of nonlocal nonlinear field equations in cosmology”, Theoret. and Math. Phys., 166:3 (2011), 392–402  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    18. Koshelev A.S., Vernov S.Yu., “Analysis of scalar perturbations in cosmological models with a non-local scalar field”, Classical Quantum Gravity, 28:8 (2011), 085019  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus  scopus
    19. Easson D.A., Sawicki I., Vikman A., “G-bounce”, J Cosmol Astropart Phys, 2011, no. 11, 021  crossref  isi  elib  scopus  scopus
    20. Aref'eva I.Ya., Volovich I.V., “Cosmological daemon”, Journal of High Energy Physics, 2011, no. 8, 102  crossref  zmath  isi  scopus  scopus
    21. Aref'eva I., “Puzzles with Tachyon in SSFT and Cosmological Applications”, Progr Theoret Phys Suppl, 2011, no. 188, 29–40  crossref  zmath  adsnasa  isi  scopus  scopus
    22. I. Ya. Aref'eva, N. V. Bulatov, R. V. Gorbachev, “Friedmann cosmology with nonpositive-definite Higgs potentials”, Theoret. and Math. Phys., 173:1 (2012), 1466–1480  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    23. Novosyadlyj B., Sergijenko O., Durrer R., Pelykh V., “Do the Cosmological Observational Data Prefer Phantom Dark Energy?”, Phys. Rev. D, 86:8 (2012), 083008  crossref  adsnasa  isi  elib  scopus  scopus
    24. Koshelev A.S. Vernov S.Yu., “Cosmological Perturbations in Sft Inspired Non-Local Scalar Field Models”, Eur. Phys. J. C, 72:10 (2012), 2198  crossref  adsnasa  isi  scopus  scopus
    25. Chen T.-j., Fasiello M., Lim E.A., Tolley A.J., “Higher Derivative Theories with Constraints: Exorcising Ostrogradski's Ghost”, J. Cosmol. Astropart. Phys., 2013, no. 2, 042  crossref  mathscinet  isi  elib  scopus  scopus
    26. Calcagni G., Modesto L., Nicolini P., “Super-Accelerating Bouncing Cosmology in Asymptotically Free Non-Local Gravity”, Eur. Phys. J. C, 74:8 (2014), 2999  crossref  adsnasa  isi  scopus  scopus
    27. Aref'eva I.Ya. Bulatov N.V. Gorbachev R.V. Vernov S.Yu., “Non-Minimally Coupled Cosmological Models With the Higgs-Like Potentials and Negative Cosmological Constant”, Class. Quantum Gravity, 31:6 (2014), 065007  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    28. Boko R.D., Rodrigues M.E., Houndjo M.J.S., Orou J.B.Ch., Myrzakulov R., “Isotropic Turbulence in the Dark Fluid Universe With Inhomogeneous Equation of State”, Astrophys. Space Sci., 358:1 (2015), 15  crossref  mathscinet  isi  elib  scopus  scopus
    29. Arefeva I., Bagrov A., Saterskog P., Schalm K., “Holographic dual of a time machine”, Phys. Rev. D, 94:4 (2016), 044059  crossref  mathscinet  isi  elib  scopus
    30. M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    31. Calcagni G., “Cosmology of Quantum Gravities”: G. Calcagni, Classical and Quantum Cosmology, Graduate Texts in Physics, Springer International Publishing Ag, 2017, 543–624  crossref  mathscinet  isi
    32. Kh. A. Khachatryan, “On the solubility of certain classes of non-linear integral equations in $p$-adic string theory”, Izv. Math., 82:2 (2018), 407–427  mathnet  crossref  crossref  adsnasa  isi  elib
    33. A. Kh. Khachatryan, Kh. A. Khachatryan, “Solvability of a nonlinear integral equation in dynamical string theory”, Theoret. and Math. Phys., 195:1 (2018), 529–537  mathnet  crossref  crossref  adsnasa  isi  elib
    34. Andrianov A.A. Lan Ch. Novikovi O.O. Wang Y.-F., “Integrable Minisuperspace Models With Liouville Field: Energy Density Self-Adjointness and Semiclassical Wave Packets”, Eur. Phys. J. C, 78:9 (2018), 786  crossref  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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