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gr-qc2024
New class of non-Einstein pp-wave solutions to quadratic gravity
Sjors Heefer, Lorens F. Niehof, Andrea Fuster
We obtain a new family of exact vacuum solutions to quadratic gravity that describe pp-waves with two-dimensional wave surfaces that can have any prescribed constant curvature. Whe…
math.DG2024
Berwald -Kropina Spaces of Arbitrary Signature: Metrizability and Ricci-Flatness
Sjors Heefer
The (pseudo-)Riemann-metrizability and Ricci-flatness of Finsler spaces with -Kropina metric $F = α^{1+m}β^{-m}$ of Berwald type are investigated. We prove that the affine con…