In this paper, I draw the list of weaknesses of the mainstream gravity and cosmology theories. First, the special and general relativity theory are discussed, where the emphasis is on the physical meaning of length contraction, the time expansion and the time delay. Then, the hypothesis of dark matter inside disk galaxies is treated. Since my paper of 2004 , this hypothesis has fainted, and I explain the reasons of it. The hypotheses of dark energy, the expanding and the accelerating universe are historically edified upon the big bang hypothesis and I criticize it by using physical objections which lead to obvious alternatives. Also the weakness of the planetary system?s creation theory is physically analyzed. Finally, I explain the evolution process of the modern gravity and cosmology theories and the possible reasons and causes for the increasing alienation from rational thinking.
Keywords: cosmology, gravity, mainstream