Abstract
The aim of the present paper is to investigate the minimally coupled rotationally symmetric scalar field configurations in spatially closed Friedman-Robertson-Walker Universe with incoherent dust. We have got the closed form solution of the Klein-Gordon equation in terms of two real-valued linearly independent hypergeometric functions. The orthonormal set of positive-frequency-like parity modes thereafter derived points out that each parity given state is conformally built up of three Einsteinian particle states and also leads to the explicit coordinate-representation of the field propagator.
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Dariescu, C., Dariescu, MA. Rotationally Symmetric Massless Modes in Closed Robertson-Walker Universe. Found Phys Lett 12, 267–279 (1999). https://doi.org/10.1023/A:1021644603380
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DOI: https://doi.org/10.1023/A:1021644603380