Locally Conformally Flat Lorentzian Gradient Ricci Solitons |
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| Authors: | M. Brozos-Vázquez E. García-Río S. Gavino-Fernández |
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| Affiliation: | 1. Department of Mathematics, University of A Coru?a, A Coru?a, Spain
2. Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain
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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 nonnull, 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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