ANALYSIS OF PLEBANSKI-DEMIANSKI METRIC AND ITS COMPARISON WITH AXISYMMETRIC STATIONARY METRIC

The solution of Einstein's Field Equation in axissymmetric-stationary spacetime is generally represented by Kerr-Newman metric in Minkowski background and by Kerr-Newman-de Sitter in de Sitter background. More general representation of axisymmetric-stationary spacetime is represented by Plebans...

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Bibliographic Details
Main Author: FIKRI ASSAFARI (NIM : 20216004), ROSIKHUNA
Format: Theses
Language:Indonesia
Subjects:
Online Access:https://digilib.itb.ac.id/gdl/view/30693
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Institution: Institut Teknologi Bandung
Language: Indonesia
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Summary:The solution of Einstein's Field Equation in axissymmetric-stationary spacetime is generally represented by Kerr-Newman metric in Minkowski background and by Kerr-Newman-de Sitter in de Sitter background. More general representation of axisymmetric-stationary spacetime is represented by Plebanski-Demianski metric and constant Ricci scalar metric. These two metrics are obtained with different procedure. Kerr-Newman-de Sitter and constant Ricci scalar metric can be derived from Plebanski-Demianski metric with transformation and limiting procedure. From this procedure it can also be seen that the Plebanski-Demianski metric is more general than constant Ricci scalar metric. Further analysis of Plebanski-Demianski metric includes examining its Ricci scalar and its physical and coordinate singularity.