Trabajo Fin de Grado
Derivation of the Metric of Reissner-Nordström and Kerr-Newman Black Holes
Título alternativo | Derivación de la métrica de los agujeros negros de Reissner-Nordström y de Kerr-Newman |
Autor/es | Romero Madrid, Carlos Francisco |
Fecha de publicación | 2018-07-25 |
Fecha de depósito | 2020-05-28 |
Titulación | Universidad de Sevilla. Doble Grado en Física y Matemáticas |
Resumen | In this thesis, both the geometrical and action principle approach to Einstein’s field
equations are developed, providing an intuitive fundamental path also with a more formal
development given by an extremal principle. ... In this thesis, both the geometrical and action principle approach to Einstein’s field equations are developed, providing an intuitive fundamental path also with a more formal development given by an extremal principle. After this solid introduction, derivations of the metric of two distinct theoretical models of black holes are presented. Firstly, the Reissner-Nordstrom model is studied and its metric is obtained by solving the differential ¨ field equations. Secondly, the Kerr-Newman model is approached by the Newman-Jannis algorithm that provides an easy and straightaway procedure to obtain its metric and energymomentum tensor just by identifying a seed metric and applying a change of variables. Finally, the solutions are studied, horizons and regions of interest of both black holes are commented. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Derivation_of_the_Metric.pdf | 322.9Kb | [PDF] | Ver/ | |