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arXiv · 1106.2924

Locally Conformally Flat Lorentzian Gradient Ricci Solitons

M. Brozos-Vázquez·E. García-Río·S. Gavino-Fernández
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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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M. Brozos-Vázquez, E. García-Río, S. Gavino-Fernández. 2011-06-15. Locally Conformally Flat Lorentzian Gradient Ricci Solitons. https://arxiv.org/abs/1106.2924

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