Killing tensor of five dimensional Melvin’s spacetime

In this research, (3+1)D Melvin’s spacetime was extended into (4+1)D Melvin’s spacetime using hypersphere coordinates. Later, the method to compute Killing ten- sor as introduced by Garfinkle for (3+1)D spacetime was studied to compute Killing tensor in (4+1)D Melvin’s spacetime. Th...

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Main Author:	Subramaniam, Ganesh
Format:	Thesis
Language:	English
Published:	2018
Subjects:	Calculus of tensors Space and time Geometrodynamics
Online Access:	http://psasir.upm.edu.my/id/eprint/84992/1/IPM%202019%2020%20-%20ir.pdf
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id	my-upm-ir.84992
record_format	uketd_dc
spelling	my-upm-ir.849922021-12-31T02:40:02Z Killing tensor of five dimensional Melvin’s spacetime 2018-02 Subramaniam, Ganesh In this research, (3+1)D Melvin’s spacetime was extended into (4+1)D Melvin’s spacetime using hypersphere coordinates. Later, the method to compute Killing ten- sor as introduced by Garfinkle for (3+1)D spacetime was studied to compute Killing tensor in (4+1)D Melvin’s spacetime. The method introduced by Garfinkle needs the existence of commuting Killing vectors or Killing vectors in a particular coor- dinate direction. It is not well understood that the method introduced by Garfinkle worked well for extended (4+1)D Melvin’s metric because the fifth component of the metric canceled one of the commuting Killing vector in 3-dimension. Therefore, Killing tensors are obtained using the method introduced by Garfinkle and they are compared with the ones obtained by symmetrically multiplying the Killing vectors. For the later case, we found Killing vectors and Killing tensors for (4+1)D Melvin’s spacetime. At the end it is concluded that the Killing tensor found for (4+1)D con- sist of products of some noncommuting Killing vector. Killing tensor found in this research might be applicable in separability of Hamilton-Jacobi and Klein-Gordon equation. Calculus of tensors Space and time Geometrodynamics 2018-02 Thesis http://psasir.upm.edu.my/id/eprint/84992/ http://psasir.upm.edu.my/id/eprint/84992/1/IPM%202019%2020%20-%20ir.pdf text en public masters Universiti Putra Malaysia Calculus of tensors Space and time Geometrodynamics Zainuddin, Hishamuddin
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English
advisor	Zainuddin, Hishamuddin
topic	Calculus of tensors Space and time Geometrodynamics
spellingShingle	Calculus of tensors Space and time Geometrodynamics Subramaniam, Ganesh Killing tensor of five dimensional Melvin’s spacetime
description	In this research, (3+1)D Melvin’s spacetime was extended into (4+1)D Melvin’s spacetime using hypersphere coordinates. Later, the method to compute Killing ten- sor as introduced by Garfinkle for (3+1)D spacetime was studied to compute Killing tensor in (4+1)D Melvin’s spacetime. The method introduced by Garfinkle needs the existence of commuting Killing vectors or Killing vectors in a particular coor- dinate direction. It is not well understood that the method introduced by Garfinkle worked well for extended (4+1)D Melvin’s metric because the fifth component of the metric canceled one of the commuting Killing vector in 3-dimension. Therefore, Killing tensors are obtained using the method introduced by Garfinkle and they are compared with the ones obtained by symmetrically multiplying the Killing vectors. For the later case, we found Killing vectors and Killing tensors for (4+1)D Melvin’s spacetime. At the end it is concluded that the Killing tensor found for (4+1)D con- sist of products of some noncommuting Killing vector. Killing tensor found in this research might be applicable in separability of Hamilton-Jacobi and Klein-Gordon equation.
format	Thesis
qualification_level	Master's degree
author	Subramaniam, Ganesh
author_facet	Subramaniam, Ganesh
author_sort	Subramaniam, Ganesh
title	Killing tensor of five dimensional Melvin’s spacetime
title_short	Killing tensor of five dimensional Melvin’s spacetime
title_full	Killing tensor of five dimensional Melvin’s spacetime
title_fullStr	Killing tensor of five dimensional Melvin’s spacetime
title_full_unstemmed	Killing tensor of five dimensional Melvin’s spacetime
title_sort	killing tensor of five dimensional melvin’s spacetime
granting_institution	Universiti Putra Malaysia
publishDate	2018
url	http://psasir.upm.edu.my/id/eprint/84992/1/IPM%202019%2020%20-%20ir.pdf
_version_	1747813510082985984

Killing tensor of five dimensional Melvin’s spacetime

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