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A plane symmetric solution of Einstein's field equations of general relativity containing zero-rest-mass scalar fields

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Abstract

An exact static solution of Einstein's field equations of general relativity in the presence of zero-rest-mass scalar fields has been obtained when both the metric tensor gijand the zero-rest-mass scalar field φexhibit plane symmetry in the sense of Taub [9]. Our solution generalizes the empty space-time solution with plane symmetry previously obtained by Taub to the situation when static zero-rest-mass scalar fields are present. The static plane symmetric solutoins of Einstein's field equations in the presence of massive scalar fields, and the difference between the massless and non-massless scalar fields are being investigated, and will be published separately later on. We also hope to discuss non-static plane symmetric solutions of Einstein's field equations in the presence of scalar fields in future.

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  1. Department of Mathematics, University of Gorakhpur, Gorakhpur (U.P.), India

    T. Sinch

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  1. T. Sinch
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Sinch, T. A plane symmetric solution of Einstein's field equations of general relativity containing zero-rest-mass scalar fields. Gen Relat Gravit 5, 657–662 (1974). https://doi.org/10.1007/BF00761923

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