1978
Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.
Jules Leroy, « Sur une classe d'espaces-temps solutions des équations d'Einstein-Maxwell », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1978.58358
The Robinson-Schild and Strauss explicit solution of the Einstein-Maxwell equations is considered. It is shown that the only type D spaces it contains are the charged Kerr-Nut metrics (cases II A-F in Kinnersley [9]) and a stationnary metric depending on three real constants. A similar result is obtained for the spaces where both null eigenvectors of the Maxwell field coincide with eigenvectors of the Weyl tensor.