The Kantowski-Sachs Cosmological Model.

Name: Breno Barreto da Silva
Type: MSc dissertation
Publication date: 23/02/2021
Advisor:

Namesort descending Role
Sergio Vitorino de Borba Gonçalves Advisor *

Examining board:

Namesort descending Role
Flavio Gimenes Alvarenga External Examiner *
Germano Amaral Monerat External Examiner *
Sergio Vitorino de Borba Gonçalves Advisor *

Summary: 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 Robertson-Walker 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.

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