A class of approximate stationary solutions of the Einstein-Maxwell equations
Jamal N. Islam
Department of Applied Mathematics and AstronomyUniversity College
Cite this article as:
Islam, J.N. Gen Relat Gravit (1976) 7: 669. doi:10.1007/BF00770723
A class of approximate stationary solutions of the Einstein-Maxwell equations are obtained by expanding the metric in powers of a certain parameter and solving explicitly the first few orders in terms of four harmonic functions. These solutions, to the order considered, reduce to the Weyl, Bonnor, and Perjés-Israel-Wilson solutions, respectively, for suitable choice of the harmonic functions. They also contain a subclass that is asymptomatically flat and has realistic arbitrary spinning sources.