A global distinct pp-wave spacetime

Abstract

This paper aims to investigate a spacetime that ensues from the generalized pp-waves metric by a specific choice of parameters. We obtain an additional off-diagonal term in the standard pp-waves line element. The spacetime is classified according to Petrov’s classification. The gravitational field equations are solved and the solutions are obtained. In order to distinguish this new spacetime from the standard pp-waves, we evaluate a Burgers vector of this spacetime in a local Burgers circuit and we show the new spacetime to be globally distinct from the standard pp-waves spacetime. Hence, we find topological defects present in a particular class of Brinkmann waves.