Cosmological Model of Universe Through General & Kaluza-Klein Theory

General Relativity (GR) is a cornerstone of modern physics describing gravity as the curvature of space-time due to the presence of mass and energy. It provides a mathematical foundation for understanding gravitational interactions including the bending of light by massive objects. Cosmology a distinct scientific discipline applies GR to study the universe's large-scale structure and evolution through mathematical modeling. In recent years higher-dimensional theories such as Kaluza-Klein (KK) theory have attracted significant interest in cosmology and astrophysics. Introduced by Theodor Kaluza and Oskar Klein this theory extends GR into a five-dimensional framework offering potential insights into unifying gravity with other fundamental forces. It posits that our four-dimensional universe may have emerged from a higher-dimensional phase where additional spatial dimensions became compactified and unobservable over time. By incorporating higher-dimensional space-time theories into cosmology this work aims to provide a deeper understanding of the early universe and its large-scale dynamics offering new perspectives on fundamental questions about cosmic evolution.