Einstein's discovery of general relativity in the last century enabled us for the first time in history to come up with a compelling, testable theory of the Universe. There are two aspects of cosmology. First, there is an enormous amount of data today. The other aspect of modern cosmology is that we have developed a consistent theoretical framework which agrees quantitatively with data. These two features are the secret of the modern cosmology. The realisation that the Universe is expanding and was once much hotter and denser, can be tested against astronomical data. The theoretical and observational developments in the last two decades of the 20th century point to the existence of dark matter and dark energy, the evolution of perturbations around the zero order smooth Universe and inflation. This book mainly concentrates on the physical and large scale geometrical aspects of expanding Universe which is consistent with the present observations of the Universe. It mainly describe the physical and geometrical properties of the cosmological models when physical distributions like zero-mass scalar field, scalar field, bulk viscosity and dynamic dark energy density exist.