Three Problems in the Schwarzschild Solution and How to Fix Them

Half a century ago, a Nobel prize winner Richard Feynman discovered three problems in the Schwarzschild solution. First, he concluded that the constant 1 is "a mistake in thought" since it "may somehow represent a normalized contribution of faraway nebulae". Second, he noticed that the contribution from the gravitating mass has a different sign than the contribution from the rest of the matter and called it a catastrophe. Thirdly, he considered singularity to be a flaw that had to be gotten rid of. These three problems do not manifest themselves in the case of weak gravitational fields but can lead to an incorrect interpretation of astrophysical processes in strong fields. Unfortunately, scientists did not pay attention to Feynman's research. We have investigated these problems and offer a simple way to solve them, which we would like to offer to scientists for discussion.