Date of Award:
8-2019
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Physics
Committee Chair(s)
Charles Torre
Committee
Charles Torre
Committee
Ian Anderson
Committee
Oscar Varela
Abstract
Since Schwarzschild found the first solution of the Einstein’s equations, more than 800 solutions were found. Solutions of Einstein’s equations are classified according to their Lie algebras of isometries and their isotropy subalgebras. Solutions were taken from the USU electronic library of solutions of Einstein’s field equations and the classification used Maple code developed at USU. This classification adds to the data contained in the library of solutions and provides additional tools for addressing the equivalence problem for solutions to the Einstein field equations. In this thesis, homogeneous spacetimes, hypersurface-homogeneous spacetimes, Robinson-Trautman solutions, and some famous black hole solutions have been classified.
Checksum
040b753167067515f983f1732947a615
Recommended Citation
Hwang, Eugene, "Classification of Isometry Algebras of Solutions of Einstein's Field Equations" (2019). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 7578.
https://digitalcommons.usu.edu/etd/7578
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