We make a systematic examination of the basic theory of general relativity and reemphasize the meaning of coordinates. Firstly, we prove that Einsteinʼs gravitational field equation has the light speed invariant solution and black holes are not an inevitable prediction of general relativity. Second, we show that the coupling coefficient of the gravitational field equation is not unique and can be modified as to replace the previous , distinguish gravitational mass from the inertial mass, and prove that dark matter and dark energy are not certain existence and the expansion and contraction of the universe are proven cyclic, and a new distance-redshift relation which is more practical is derived. After that, we show that galaxies and celestial bodies are formed by gradual growth rather than by the accumulation of existing matter and prove that new matter is generating gradually in the interior of celestial bodies. For example, the radius of the Earth increases by 0.5 mm every year, and its mass increases by 1.2 trillion tons. A more reasonable derivation of the precession of planetary orbits is given, and the evolution equation of planetary orbits in the expanding space-time is also given. In a word, an alive universe unfolds in front of readers and the current cosmological difficulties are given new interpretations.

中文翻译：

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光速不变和新的宇宙演化系统对引力场方程的修正

我们对广义相对论的基本理论进行了系统的考察，并再次强调了坐标的含义。首先，我们证明爱因斯坦的引力场方程具有光速不变解，黑洞并不是广义相对论的必然预测。其次，我们证明了引力场方程的耦合系数不是唯一的，可以修改以代替之前的公式，通过区分引力质量和惯性质量，证明暗物质和暗能量不是一定存在的，并且宇宙的膨胀和收缩被证明是周期性的，从而得出了一个更实用的距离-红移关系。之后，我们证明了星系和天体是由逐渐增长而不是由现有物质的积累形成的，并证明了新物质是在天体内部逐渐生成的。例如，地球半径每年增加0.5毫米，其质量增加1.2万亿吨。给出了行星轨道进动的更合理推导，并给出了时空扩展中行星轨道的演化方程。一言以蔽之