Abstract

• Attempts have been made to study the fundamental properties of dark matter and structure formation of the inhomogeneous cosmology. Detailed mechanism of the relation of dark matter candidates in the range of inflation of the universe and axion decay rate at inflation has been investigated and the mass of axion, one of the major candidates of dark matter, has been to estimate in the frameworks of general relativity and elementary particle. As the situation dicates, Mathematica software is utilized for detailed computations and visualization of the results.