A Search for an Interior Solution

in General Relativity
Using Lie-Baecklund Symmetries


David Neilsen


Brigham Young University


The Einstein field equations describing a stationary, axially symmetric, rigidly rotating, relativistic, perfect fluid are reduced with a similarity transformation to ordinary differential equations. A Lie-Baecklund symmetry analysis is used to obtain the similarity variables. Approaches to a solution of the equations are discussed. A simple case allows the equations to be solved, yielding a non-rotating spacetime with cartesian symmetry.

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