THE APPLICATION OF THE NEWMAN-JANIS ALGORITHM IN OBTAINING INTERIOR SOLUTIONS OF THE KERR METRIC

In this paper we present a class of metrics to be considered as new po ssible sources for the Ken metric. These new solutions are generated b y applying the Newman-Janis algorithm (NJA) to any static spherically symmetric (SSS) 'seed' metric. The continuity conditions for joining a ny two of these new metrics is presented. A specific analysis of the j oining of interior solutions to the Ken exterior is made. The boundary conditions used are those first developed by Dormois and Israel. We f ind that the NJA can be used to generate new physically allowable inte rior solutions. These new solutions can be matched smoothly to the Ken metric. We present a general method for finding such solutions with o blate spheroidal boundary surfaces. Finally, a trial solution is found and presented.