Got the new gravitational field equation from the Einstein-Hilbert action adapting the Palatini variation formalism. Applying the gravitational field equation on the cosmology, we got the new Friedmann equation and its numerical solution. At last, under condition of the De Sitter , we took the weak field approximation to the new gravitational field equation, and analyzed the stability of the cosmological solution.%采用Palatini变分,由爱因斯坦-希尔伯特作用量得到新的引力场方程,将新方程应用于宇宙学,得到新的弗里德曼方程,并进行数值求解.在德西特背景下,对新的场方程进行弱场近似,并对宇宙解的稳定性进行分析.
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