In mathematical physics, Kundt spacetimes are Lorentzian manifolds admitting a geodesic null congruence with vanishing optical scalars (expansion, twist and shear). A well known member of Kundt class is pp-wave. Ricci-flat Kundt spacetimes in arbitrary dimension are algebraically special. In four dimensions Ricci-flat Kundt metrics of Petrov type III and N are completely known.[1] All VSI spacetimes belong to a subset of the Kundt spacetimes.[2]
^H. Stephani et al., Exact solutions of Einstein's field equations, 2nd Edition, Cambridge Univ. Press 2003 (Kundt spacetimes are studied in Chapter 31)
^Pravda, V.; Pravdova, A.; Coley, A.; Milson, R. (2002), "All spacetimes with vanishing curvature invariants", Classical and Quantum Gravity, 19 (23): 6213–6236, arXiv:gr-qc/0209024, Bibcode:2002CQGra..19.6213P, doi:10.1088/0264-9381/19/23/318, S2CID 11958495.
member of Kundt class is pp-wave. Ricci-flat Kundtspacetimes in arbitrary dimension are algebraically special. In four dimensions Ricci-flat Kundt metrics...
quantities. All VSI spacetimes are Kundtspacetimes. An example with this property in four dimensions is a pp-wave. VSI spacetimes however also contain...
Kruskal (Kruskal–Szekeres coordinates for Schwarzschild vacuum), Wolfgang Kundt (EK classification of symmetries of pp waves) Cornelius Lanczos (Lanczos...
Equations: Techniques and Results. Springer. ISBN 3-540-13366-6. Ehlers, Jürgen; Kundt, Wolfgang (1962). "Exact solutions of the gravitational field equations"...
Newman–Penrose formalism. 1962 – Ehlers and Wolfgang Kundt classify the symmetries of Pp-wave spacetimes. 1962 –Joshua Goldberg and Rainer K. Sachs prove...
Global Information