Null conformal Killing-Yano tensors and Birkhoff theorem

Abstract

We study the space-times admitting a null conformal Killing-Yano tensor whose divergence defines a Killing vector. We analyze the similitudes and differences with the recently studied non null case (Gen. Relativ. Grav. (2015) {\bf 47} 1911). The results by Barnes concerning the Birkhoff theorem for the case of null orbits are analyzed and generalized.

10 pages

References in corpus (2)

• Conformal Yano-Killing tensor for the Kerr metric and conserved quantities
• Birkhoff theorem and conformal Killing-Yano tensors

Cited by in corpus (1)

• The Birkhoff theorem and string clouds