The application of the Newman-Janis algorithm in obtaining interior solutions of the Kerr metric

S. P. Drake, R. Turolla

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)1883-1897
Number of pages15
JournalClassical and Quantum Gravity
Volume14
Issue number7
DOIs
Publication statusPublished - Jul 1997
Externally publishedYes

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