#TITLE_ALTERNATIVE#
In this project, we analyze Kerr-de Sitter metric in higher dimensions, up to eleven dimensions. General relativity will be introduced, including tensors linked to the curvature of spacetime, along with de Sitter metric. de Sitter metric will be pre-determined as background metric to get simple expl...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/23823 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this project, we analyze Kerr-de Sitter metric in higher dimensions, up to eleven dimensions. General relativity will be introduced, including tensors linked to the curvature of spacetime, along with de Sitter metric. de Sitter metric will be pre-determined as background metric to get simple explicit exact solution of the Einstein vacuum equations, called Kerr metric, with needed variables. Next, Kerr-Schild form of higher dimensional Kerr-de Sitter metric will be derived from general Kerr-de Sitter metrics, up to eleven dimensions. Afterwards, we will obtain identity tensors which are related to space-time curvature, they are metric tensors, Christoffel symbols, Riemann tensors, and Ricci tensors. From Ricci tensor of de Sitter background metric, we will get Ricci tensor of the exact Kerr-de Sitter metric. Furthermore, it will be used to obtain Ricci scalar and Einstein tensor of Kerr-de Sitter metric. |
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