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MGAT1 - Integrability and Solution Generating Methods for Einstein's Field Equations in Four and Higher Dimensions

Speaker

Muhammad, Ziad

Talk Title

A Plane Symmetric Gravitational Wave Solution Admitting a Null Homothety

Abstract

Most of the known Gravitational wave solutions appear as a result of inducting small perturbations on Minkowski spacetime. Here an exact solution will be discussed which admits minimal plane symmetric isometry group along with a null homothetic vector field. It has a line singularity and turns out to be of Petrov type D. A complete solution of its geodesic equations will also be presented.

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