Algebraic Structure and Poisson’s Integral Theory of f(R) Cosmology
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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.
Keywordsf(R) cosmology Algebraic structure Poisson integral method First integral
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