Seminarium Teorii Względności i Grawitacji

The Halilsoy and Chandrasekhar cylindrical gravitational waves are two different classes of exact solutions to the vacuum Einstein equations that describe standing gravitational waves. Both families satisfy the definition of standing gravitational waves proposed by Stephani, but only the latter class satisfies Chandrasekhar's stricter definition. The aim of our research is to compare both classes of solutions in the linearized regime.