Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

A class of approximate exterior rotating solutions of Einstein's equations

Jamal N. Islama1 p1

a1 California Institute of Technology, Pasadena, California, University of Washington, Seattle, Washington, and King's College, London

Abstract

A class of approximate stationary vacuum solutions are obtained by expanding the metric in powers of a certain parameter, and by solving explicitly the first few orders in terms of two harmonic functions ø and ψ. These solutions, to the order considered, reduce to the Weyl solutions when ψ = 0 and yield the Papapetrou solutions when ø = 0, and contain a subclass that is asymptotically flat and has non-zero mass. The physical interpretation and the possibility of proceeding further are briefly discussed.

(Received February 14 1975)

Correspondence:

p1 Present address: University College, Cardiff U.K.