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Massless scalar field in Robertson-Walker space-time

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Abstract

Recently, exact spatially-homogeneous solutions have been found for a conformally invariant massless scalar fieldS(t) coupled to a Robertson-Walker geometry. We investigate extending these solutions to inhomogeneous scalar fieldsS(t, x l). For an isotropic scalar fieldS(t, r) we find a solution satisfying three of the five field equations. If we use REDUCE, we show that the remaining equations forceS=S(t).

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Maharaj, S.D., Maartens, R. & Beesham, A. Massless scalar field in Robertson-Walker space-time. Astrophys Space Sci 167, 329–333 (1990). https://doi.org/10.1007/BF00659358

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