|
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)
References:
PDF file
HTML file
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
\Bibitem{Ver08}
\by S.~Yu.~Vernov
\paper Construction of exact solutions in two-field cosmological models
\jour TMF
\yr 2008
\vol 155
\issue 1
\pages 47--61
\mathnet{http://mi.mathnet.ru/tmf6192}
\crossref{https://doi.org/10.4213/tmf6192}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2466479}
\zmath{https://zbmath.org/?q=an:1159.83364}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2008TMP...155..544V}
\transl
\jour Theoret. and Math. Phys.
\yr 2008
\vol 155
\issue 1
\pages 544--556
\crossref{https://doi.org/10.1007/s11232-008-0045-4}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000255258900005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42449137977}
Linking options:
http://mi.mathnet.ru/eng/tmf6192https://doi.org/10.4213/tmf6192 http://mi.mathnet.ru/eng/tmf/v155/i1/p47
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
Lazkoz R., Leon G., Quiros I., “Quintom Cosmologies with Arbitrary Potentials”, Phys. Lett. B, 649:2-3 (2007), 103–110
 -
Briscese F., Elizalde E., Nojiri S., Odintsov S.D., “Phantom Scalar Dark Energy as Modified Gravity: Understanding the Origin of the Big Rip Singularity”, Phys. Lett. B, 646:2-3 (2007), 105–111
-
Sadjadi H.M., “The Particle Versus the Future Event Horizon in an Interacting Holographic Dark Energy Model”, J. Cosmol. Astropart. Phys., 2007, no. 2, 026
-
Aref'eva I.Ya., “Stringy Model of Cosmological Dark Energy”, Particles, Strings, and Cosmology, AIP Conference Proceedings, 957, ed. Rajantie A. Dauncey P. Contaldi C. Stoica H., Amer Inst Physics, 2007, 297–300
-
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
-
Joukovskaya L., “Dynamics in Nonlocal Cosmological Models Derived From String Field Theory”, Phys. Rev. D, 76:10 (2007), 105007
-
Aref'eva I.Ya., Joukovskaya L.V., Vernov S.Yu., “Bouncing and Accelerating Solutions in Nonlocal Stringy Models”, J. High Energy Phys., 2007, no. 7, 087
-
Koshelev A.S., “Non-Local Sft Tachyon and Cosmology”, J. High Energy Phys., 2007, no. 4, 29
-
Aref'eva I.Ya., Koshelev A.S., “Cosmological signature of tachyon condensation”, J. High Energy Phys., 2008, no. 9, 068, 20 pp.
-
Aref'eva I.Ya., Joukovskaya L.V., Vernov S.Yu., “Dynamics in nonlocal linear models in the Friedmann-Robertson-Walker metric”, J. Phys. A, 41:30 (2008), 304003, 14 pp.
-
Qiu T., Cai Y.-F., Zhang X., “Null Energy Condition and Dark Energy Models”, Mod. Phys. Lett. A, 23:32 (2008), 2787–2798
-
Cai Y.-F., Wang J., “Dark Energy Model with Spinor Matter and its Quintom Scenario”, Class. Quantum Gravity, 25:16 (2008), 165014
-
Cai Y.-F., Qiu T., Brandenberger R., Piao Yu.-S., Zhang X., “On Perturbations of a Quintom Bounce”, J. Cosmol. Astropart. Phys., 2008, no. 3, 013
-
Andrianov A.A., Cannata F., Kamenshchik A.Y., Regoli D., “Two-Field Cosmological Models and Large-Scale Cosmic Magnetic Fields”, J. Cosmol. Astropart. Phys., 2008, no. 10, 019
-
Andrianov A.A., Cannata F., Kamenshchik A.Y., Regoli D., “Reconstruction of Scalar Potentials in Two-Field Cosmological Models”, J. Cosmol. Astropart. Phys., 2008, no. 2, 015
-
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
 -
Shi Shang-Gang, Piao Yun-Song, Qiao Cong-Feng, “Cosmological evolution of a tachyon-quintom model of dark energy”, Journal of Cosmology and Astroparticle Physics, 2009, no. 4, 027, 19 pp.
-
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.
-
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
-
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
-
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.
-
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
-
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
-
Wang J., Cui Sh.-w., Zhang Ch.-m., “Thermodynamics of Spinor Quintom”, Phys. Lett. B, 683:2-3 (2010), 101–107
-
A. V. Yurov, V. A. Yurov, S. V. Chervon, M. Sami, “Total energy potential as a superpotential in integrable cosmological models”, Theoret. and Math. Phys., 166:2 (2011), 259–269
-
S. Yu. Vernov, “Exact solutions of nonlocal nonlinear field equations in cosmology”, Theoret. and Math. Phys., 166:3 (2011), 392–402
-
Elizalde E. Pozdeeva E.O. Vernov S.Yu., “Reconstruction Procedure in Nonlocal Cosmological Models”, Class. Quantum Gravity, 30:3 (2013), 035002
-
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
-
Elizalde E. Pozdeeva E.O. Vernov S.Yu. Zhang Y.-l., “Cosmological Solutions of a Nonlocal Model with a Perfect Fluid”, J. Cosmol. Astropart. Phys., 2013, no. 7, 034
-
Kim H.-Ch., “Inflation as an Attractor in Scalar Cosmology”, Mod. Phys. Lett. A, 28:20 (2013), 1350089
-
Kamenshchik A.Yu. Tronconi A. Venturi G. Vernov S.Yu., “Reconstruction of Scalar Potentials in Modified Gravity Models”, Phys. Rev. D, 87:6 (2013), 063503
-
Kim H.-Ch., “A New Variable in Scalar Cosmology with an Exponential Potential”, J. Korean Phys. Soc., 63:8 (2013), 1675–1680
-
Fadragas, Carlos R.; Leon, Genly, “Some remarks about non-minimally coupled scalar field models”, Classical and Quantum Gravity, 31:19 (2014), 195011
-
Kamenshchik, Alexander Yu; Pozdeeva, Ekaterina O.; Tronconi, Alessandro; et al., “Integrable cosmological models with non-minimally coupled scalar fields”, Classical and Quantum Gravity, 31:10 (2014), 105003
-
Pozdeeva, Ekaterina O.; Vernov, Sergey Yu., “Stable Exact Cosmological Solutions in Induced Gravity Models”, 2nd Russian-Spanish Congress on Particle and Nuclear Physics at all Scales, Astroparticle Physics and Cosmology Location (St Petersburg, Russia, Oct. 01–04, 2013), AIP Conference Proceedings, 1606, 2014, 48–58
-
Dzhunushaliev V. Folomeev V. Urazalina A., “Star-plus-wormhole systems with two interacting scalar fields”, Int. J. Mod. Phys. D, 24:14 (2015), 1550097
-
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
-
Dzhunushaliev V. Folomeev V. Makhmudov A. Urazalina A. Singleton D. Scott J., “Compact and extended objects from self-interacting phantom fields”, Phys. Rev. D, 94:2 (2016), 024004
-
Cid A. Leon G. Leyva Y., “Intermediate accelerated solutions as generic late-time attractors in a modified Jordan-Brans-Dicke theory”, J. Cosmol. Astropart. Phys., 2016, no. 2, 027
-
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
-
Pozdeeva E.O. Vernov S.Yu., “Induced Gravity Models With Exact Bounce Solutions”, Phys. Part. Nuclei, 49:5 (2018), 914–917
|
| Number of views: |
| This page: | 641 | | Full text: | 144 | | References: | 25 | | First page: | 8 |
|
Terms of Use