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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 166, Number 2, Pages 299–311
DOI: https://doi.org/10.4213/tmf6611 (Mi tmf6611) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Total energy potential as a superpotential in integrable cosmological models

A. V. Yurova, V. A. Yurovab, S. V. Chervonc, M. Samid

a Immanuel Kant State University of Russia, Kaliningrad, Russia
b Department of Mathematics, University of Missouri, Columbia, Missouri, USA
c Ul'yanovsk State Pedagogical University, Ul'yanovsk, Russia
d Centre for Theoretical Physics, Jamia Millia Islamia (A Central University), New Delhi, India
Full-text PDF (482 kB) Citations (16)
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DOI: https://doi.org/10.4213/tmf6611
Abstract: We study the class of integrable self-action potentials satisfying the conditions that (1) they spontaneously break the symmetry, (2) they describe the inflation phase with a graceful exit (i.e., with an exit that does not require fine tuning parameters), and (3) they feature several consecutive inflation phases. The first condition ensures that the inflation mechanism is qualitatively consistent with elementary particle physics, the second is a necessary ingredient of any inflation theory, and the third is necessary for a theory to be consistent with contemporary observational data, which support the accelerated expansion of the Universe.
Keywords: superpotential, inflation, Friedmann equations.
Received: 15.05.2010
Revised: 18.08.2010
English version:
Theoretical and Mathematical Physics, 2011, Volume 166, Issue 2, Pages 259–269
DOI: https://doi.org/10.1007/s11232-011-0020-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Yurov, V. A. Yurov, S. V. Chervon, M. Sami, “Total energy potential as a superpotential in integrable cosmological models”, TMF, 166:2 (2011), 299–311; Theoret. and Math. Phys., 166:2 (2011), 259–269
Citation in format AMSBIB
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\paper Total energy potential as a~superpotential in integrable cosmological models
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\pages 299--311
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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