RT Journal Article
T1 Homogeneous and curvature homogeneous Lorentzian critical metrics
A1 Brozos Vázquez, Miguel
A1 Caeiro Oliveira, Sandro
A1 García Río, Eduardo
K1 Quadratic curvature functional
K1 Lorentzian
K1 Critical metric
K1 Curvature homogeneus
K1 Homogeneus
K1 Ricci soliton
AB 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
PB Cambridge University Press
SN 0308-2105
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29282
UL http://hdl.handle.net/10347/29282
LA eng
NO Brozos-Vázquez, M., Caeiro-Oliveira, S., & García-Río, E. (2022). Homogeneous and curvature homogeneous Lorentzian critical metrics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-25. doi:10.1017/prm.2022.44
NO Supported by projects PID2019-105138GB-C21(AEI/FEDER, Spain) and ED431C 2019/10, ED431F 2020/04 (Xunta de Galicia, Spain)
DS Minerva
RD 24 abr 2026