Killing spinor spacetimes and constant-eigenvalue Killing tensors. (English) Zbl 1217.83017
Summary: A class of Petrov type D Killing spinor spacetimes is presented having the peculiar property that their conformal representants can only admit Killing tensors with constant eigenvalues.
MSC:
| 83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
| 83C60 | Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism |
| 83E05 | Geometrodynamics and the holographic principle |
| 53Z05 | Applications of differential geometry to physics |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 15A72 | Vector and tensor algebra, theory of invariants |
