The specialised field of extragalactic cosmology is about one hundred years old. Over the time, it is divided into many sections. A new framework is needed to overcome the severe difficulties of the standard model of cosmology. In this model, the period of evolution of the universe is set to 13.8 Billion years. The initial limit is a primordial fireball (Big Bang) and a continuous expansion of the whole matter. To fit the observations to the model, many additional assumptions are needed, such as inflation, dark matter, and dark energy. To date, these assumptions can not be confirmed or refuted. Meanwhile, the community of cosmologists can provide no observations that could falsify this standard model of cosmology.This paper demonstrates a spheric universe of constant size and content of matter-energy. This model is close to Einstein's first ideas in his cosmological considerations. The misapprehension was to call such universe a 'static universe'. Contrary to this my universe is very dynamic. I name it 'Schwarzschild universe', because Karl Schwarzschild demonstrated 1916 that huge amount of matter form robust spheres. In this paper I will bring together discussions and hypothesis before 1933 of Albert Einstein, Karl Schwarzschild, Arthur S. Eddington and others, and observations after 1945. I will submit proposals to avoid additional assumptions or 'new physics'.