Brozos-Vázquez, MiguelCaeiro-Oliveira, SandroGarcia-Rio, Eduardo2024-07-042024-07-042023Brozos-Vázquez M, Caeiro-Oliveira S, García-Río E. Homogeneous and curvature homogeneous Lorentzian critical metrics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2023;153(4):1272-1296. doi:10.1017/prm.2022.440308-2105http://hdl.handle.net/2183/37717[Abstract] We determine all three-dimensional homogeneous and 1 -curvature homogeneous Lorentzian metrics which are critical for a quadratic curvature functional. As a result, we show that any quadratic curvature functional admits different non-Einstein homogeneous critical metrics and that there exist homogeneous metrics which are critical for all quadratic curvature functionals without being Einstein.engCreative Commons Attribution licence https://creativecommons.org/licenses/by/4.0http://creativecommons.org/licenses/by/3.0/es/Quadratic curvature functionalLorentzianCritical metricCurvature homogeneousHomogeneousRicci solitonjournal articleopen accesshttps://doi.org/10.1017/prm.2022.44