Kundt Structures
arXiv:1912.02570
Abstract
In this paper we consider a new approach to studying Kundt spacetimes through -structures. We define a Lie-group such that the -structures satisfying an integrability condition and an existence criterion, which we call Kundt structures, have the property that each metric belonging to the Kundt structure is automatically a Kundt spacetime. We find that the Lie algebra of infinitesimal automorphisms of such structures is given by a Lie algebra of nil-Killing vector fields. Lastly we characterize all left invariant Kundt structures on homogeneous manifolds.
24 pages