O modelo cosmológico de Kantowski-Sachs

Abstract

This work seeks to solve Einstein’s equations for the Kantowski-Sachs metric in a environment containing barotropic fluid coupled to a scalar field and using a relationship between the scale factors of that metric. To achieve this goal, it was necessary to study and address the RobertsonWalker metric, the Einstein-Hilbert action, the Einstein equations, the various moment-energy tensors and the Friedmann equations. We also studied the following fluids: dust, stiff matter, radiation, cosmic strings and vacuum, and their respective equations of state. And finally, we analyze the calculations of the Kantowski-Sachs article for dust and the Adhav article that solves Einstein’s equations for stiff matter with the Kantowski-Sachs metric having a relationship between the scale factors.