6533b82cfe1ef96bd128eb5c
RESEARCH PRODUCT
Birkhoff theorem and conformal Killing-Yano tensors
Joan Josep FerrandoJuan Antonio Sáezsubject
PhysicsKilling vector fieldPure mathematicsGeneral Relativity and Quantum CosmologyPhysics and Astronomy (miscellaneous)FOS: Physical sciencesConformal mapTensorGeneral Relativity and Quantum Cosmology (gr-qc)Invariant (mathematics)Isometry groupIsometry (Riemannian geometry)General Relativity and Quantum Cosmologydescription
We analyze the main geometric conditions imposed by the hypothesis of the Jebsen-Birkhoff theorem. We show that the result (existence of an additional Killing vector) does not necessarily require a three-dimensional isometry group on two-dimensional orbits but only the existence of a conformal Killing-Yano tensor. In this approach the (additional) isometry appears as the known invariant Killing vector that the ${\cal D}$-metrics admit.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-05-13 |