Publication Date
July 2005
Abstract
In this work is shown that when the background space-time is type D solution of the Einstein vacuum equations with or without cosmological constant, a symmetry operator can be found for the Maxwell equations, as a consequence of that each component of the electromagnetic spinor satisfies a decoupled equation and that all the vacuum type D metrics admit a two index Killing spinor. Besides, the Maxwell equations are solved when the background space-time is the Carter A metric.