• Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves 

      Brozos-Vázquez, Miguel; Caeiro-Oliveira, Sandro; Garcia-Rio, Eduardo (IOPscience, 2022)
      [Abstract] Three-dimensional Brinkmann waves which are critical for quadratic curvature functionals are determined. Generically, if the metric is critical for some functional then it is critical for all of them. In contrast, ...
    • Curvature homogeneous critical metrics in dimension three 

      Brozos-Vázquez, Miguel; Caeiro-Oliveira, Sandro; Garcia-Rio, Eduardo (Elsevier, 2022)
      [Abstract] We study curvature homogeneous three-manifolds modeled on a symmetric space which are critical for some quadratic curvature functional. If the Ricci operator is diagonalizable, critical metrics are 1-curvature ...
    • Homogeneous and curvature homogeneous Lorentzian critical metrics 

      Brozos-Vázquez, Miguel; Caeiro-Oliveira, Sandro; Garcia-Rio, Eduardo (Cambridge University Press, 2023)
      [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 ...