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Algebraic Structure and Poisson’s Integral Theory of f(R) Cosmology

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Abstract

In this paper, the algebraic structure and the Poisson’s integral theory of f(R) cosmology are presented. Firstly, the Hamilton canonical equations are derived for the system. Secondly, the contravariant algebraic forms of f(R) cosmology are obtained. Thirdly, the Lie algebraic structure admitted and Poisson’s integral methods are investigated for f(R) cosmology. Further, the first integrals and solution of f(R) cosmology are given. Finally, an example is given to illustrate the results.

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Authors and Affiliations

  1. Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou, 310018, China

    Jing-Li Fu & Feng-Ping Xie

  2. Department of Physics, Liaoning University, Shenyang, 110036, China

    Yong-Xin Guo

Authors
  1. Jing-Li Fu
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  2. Feng-Ping Xie
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  3. Yong-Xin Guo
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Correspondence to Jing-Li Fu.

Additional information

This work has been partially supported by the National Natural Science Foundations of China (No. 11072218).

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Fu, JL., Xie, FP. & Guo, YX. Algebraic Structure and Poisson’s Integral Theory of f(R) Cosmology. Int J Theor Phys 51, 35–48 (2012). https://doi.org/10.1007/s10773-011-0875-y

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  • DOI: https://doi.org/10.1007/s10773-011-0875-y

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