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Special Functions Commons

Open Access. Powered by Scholars. Published by Universities.®

2017

Virginia Commonwealth University

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Full-Text Articles in Special Functions

Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro Jan 2017

Series Solutions Of Polarized Gowdy Universes, Doniray Brusaferro

Theses and Dissertations

Einstein's field equations are a system of ten partial differential equations. For a special class of spacetimes known as Gowdy spacetimes, the number of equations is reduced due to additional structure of two dimensional isometry groups with mutually orthogonal Killing vectors. In this thesis, we focus on a particular model of Gowdy spacetimes known as the polarized T3 model, and provide an explicit solution to Einstein's equations.