Robertson-Walker-type universes with conformally-invariant scalar field |
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| Authors: | S D Maharaj A Beesham |
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| Institution: | (1) Department of Mathematics and Applied Mathematics, University of Natal, Durban, South Africa;(2) Department of Mathematics and Applied Mathematics, University of Durban-Westville, Durban, South Africa |
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| Abstract: | Recently, Innaiah and Reddy (1985) obtained a flat Robertson-Walker-type solution for the Einstein field equations with the trace-free energy-momentum tensor of a conformally invariant scalar field as source. Here we show that the field equations force the scalar field to be independent of time. Furthermore, we obtain open and closed Robertson-Walker-type solutions and observe that, once again, the scalar field has to be independent of time. |
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