General Kundt spacetimes in higher dimensions

Understand

We investigate a general metric of the Kundt class of spacetimes in higher dimensions.

• Geometrically, it admits a non-twisting, non-shearing and non-expanding geodesic null congruence.
• We calculate all components of the curvature and Ricci tensors, without assuming any specific matter content, and discuss algebraic types and main geometric constraints imposed by general Einstein's field equations.
• We explicitly derive Einstein-Maxwell equations, including an arbitrary cosmological constant, in the case of vacuum or possibly an aligned electromagnetic field.