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TMF, 2008, Volume 155, Number 1, Pages 47–61 (Mi tmf6192)  

This article is cited in 41 scientific papers (total in 41 papers)

Construction of exact solutions in two-field cosmological models

S. Yu. Vernov

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: We construct a dark energy model with a phantom scalar field, a standard scalar field, and a polynomial potential inspired by string field theory. We find a two-parameter set of exact solutions of the Friedmann equations. We find a potential satisfying the conditions obtained from the string theory and such that at large times, some of the exact solutions correspond to the state parameter $w_{\mathrm{DE}}>-1$ while the others correspond to $w_{\mathrm{DE}}<-1$. We demonstrate that the superpotential method is very effective for seeking new exact solutions.

Keywords: string field theory, cosmology, phantom, dark energy, exact solution, superpotential method

DOI: https://doi.org/10.4213/tmf6192

Full text: PDF file (562 kB)
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English version:
Theoretical and Mathematical Physics, 2008, 155:1, 544–556

Bibliographic databases:


Citation: S. Yu. Vernov, “Construction of exact solutions in two-field cosmological models”, TMF, 155:1 (2008), 47–61; Theoret. and Math. Phys., 155:1 (2008), 544–556

Citation in format AMSBIB
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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:
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    5. Joukovskaya L., “Rolling Tachyon in Nonlocal Cosmology”, Particles, Strings, and Cosmology, AIP Conference Proceedings, 957, eds. Rajantie A., Dauncey P., Contaldi C., Stoica H., Amer Inst Physics, 2007, 325–328  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
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    16. I. Ya. Aref'eva, R. V. Gorbachev, P. B. Medvedev, “Tachyon solution in a cubic Neveu–Schwarz string field theory”, Theoret. and Math. Phys., 158:3 (2009), 320–332  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
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    18. 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  adsnasa  isi  scopus  scopus
    19. Cannata F., Kamenshchik A.Y., Regoli D., “Scalar Field Cosmological Models with Finite Scale Factor Singularities”, Phys. Lett. B, 670:4-5 (2009), 241–245  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    20. Vernov S.Yu., “Construction of Exact Solutions in Two-Fields Models”, Particle Physics on the Eve of Lhc, ed. Studenikin A., World Scientific Publ Co Pte Ltd, 2009, 245–248  crossref  mathscinet  adsnasa  isi
    21. Kahya E.O., Onemli V.K., Woodard R.P., “Completely regular quantum stress tensor with $w<-1$”, Physical Review D, 81:2 (2010), 023508, 10 pp.  crossref  adsnasa  isi  elib  scopus  scopus
    22. 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
    23. Cai Yi-Fu, Saridakis E.N., Setare M.R., Xia Jun-Qing, “Quintom cosmology: theoretical implications and observations”, Phys. Rep., 493:1 (2010), 1–60  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
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    28. Elizalde E., Lopez-Revelles A.J., Odintsov S.D., Vernov S.Yu., “Cosmological Models with Yang-Mills Fields”, Phys. Atom. Nuclei, 76:8 (2013), 996–1003  crossref  adsnasa  isi  elib  scopus  scopus
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    37. Pozdeeva E.O. Skugoreva M.A. Toporensky A.V. Vernov S.Yu., “Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields”, J. Cosmol. Astropart. Phys., 2016, no. 12, 006  crossref  mathscinet  isi  elib  scopus
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    40. Maharaj S.D., Beesham A., Chervon S.V., Kubasov A.S., “New Exact Solutions For a Chiral Cosmological Model in 5D Egb Gravity”, Gravit. Cosmol., 23:4 (2017), 375–380  crossref  mathscinet  zmath  isi  scopus  scopus
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