Whittaker Functions as Solutions for a Background of (2+1)-DIMENSIONAL Dust

Physics

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Scientific paper

2+1 gravity is studied for a situation in which the usual point matter source has been regularized by replacing it with a smooth extended source. This leads to a solution of the Einstein equations for a perfect fluid with positive mass density and zero pressure: dust. With this background, the Klein-Gordon equation for a scalar field is solved explicitly in terms of Whittaker functions.

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