The main objectives of this research are to faithfully simulate the expansion of the universe using analog models of gravity and investigate the contribution of the analog cosmological particle production in a relativistic hadronic fluid. Using the idea that a curved space geometry can be achieved by the means of fluid dynamics, the effects of classical gravity in relativistic analog system are described. A theoretical recipe is given how to reproduce, in a high-energy realistic laboratory, gravitational phenomena that can not be directly observed in nature, such as the Hawking radiation, time-dependent configurations of black holes and evolution dynamics of an expanding universe. Geometry and evolution of analog spacetime are determined by the equations of fluid mechanics, in contrast to the general relativity where they are described by Einstein’s equations. As a natural medium for relativistic analog models we study the hadron matter created in relativistic heavy ion collisions. Extreme conditions of very high density and temperature in which hadronic matter is created correspond to the conditions in the early universe shortly after the Big Bang. It is shown that propagation of massles pions in the hadronic fluid simulates an analog universe which is geometrically equivalent to the Friedmann-Robertson- Walker (FRW) spacetime with negative spatial curvature. We find the conditions under which trapped surfaces are formed and calculate the analog Hawking radiation temperature from the trapped horizon. A quantitative comparison of analogue cosmological particle production and analogue Hawking radiation is given.