(Received February 13, 1956)
This paper is concerned with the general solution field equations (in the `strong' form) corresponding to a non-symmetric tensor field gµν whose symmetric components s and anti-symmetric components a are expressed by using general indices k, m, n, l instead of 1, 2, 3, 4. The components skk, sll, akl are taken to be functions of xk while smm, snn, amn are each expressible as product of a function of xk and xm. In the process of solution of the relevant field equations there appears a parameter λ in an auxiliary equation which can take negative, positive or zero values. It is found that the usual spherically symmetric solutions considered by Bonnor result when λ is negative. The other two types of solution are also noted in this connection and a particular case not considered by Bonnor in his paper is also discussed.
URL : http://ptp.ipap.jp/link?PTP/16/421/
DOI : 10.1143/PTP.16.421