Locally Conformally Flat Lorentzian Gradient Ricci Solitons

Published 15 Jun 2011 in math.DG | (1106.2924v1)

Abstract: It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.

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