中文摘要：

深入探讨一种修正引力理论,即由马焦雷（M.Maggiore）和曼卡拉（M.Mancarella）提出的非局域引力模型,该理论模型是在爱因斯坦-希尔伯特作用量中加入了非局域修正项m~（2）R□~（-2）R.笔者详细研究并导出了该非局域引力理论满足的4种能量条件,即强能量条件,零能量条件,主能量条件和弱能量条件.为了揭示这些能量条件的物理意义,分别绘出了4种能量条件随引力模型参数α和宇宙红移z的演化图像.进一步,利用能量条件对模型参数α加以限制,给出了模型参数的取值范围.

英文摘要：

In this paper,the authors exp non local gravity model proposed by M ored a class of modified gravity model,namely, the so-called Maggiore and M. Mancarella, which is obtained by adding a term m2R-2R to the Einstein-Hilbert action. The four energy conditions of the non-local gravity model, i. e. , the strong energy condition, the null energy condition, the dominant energy condition and the weak energy condition are studied and derived in detail. In order to get some insights on the mean- ing of the energy conditions,the evolutions of four energy conditions with the model parameter a and redshift z are illustrated, and the constraints on the model parameter a are given by using these energy conditions.