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math.DG2024
The vacuum weighted Einstein field equations
M. Brozos-Vázquez, D. Mojón-Álvarez
On a spacetime endowed with a density function , we consider the vacuum weighted Einstein field equations: \[hρ-\operatorname{Hes}_h+Δh g=0.\] First, it is shown that th…
math.DG2024
The vacuum weighted Einstein field equations on pr-waves
Miguel Brozos-Vázquez, Diego Mojón-Álvarez
We classify solutions of the vacuum weighted Einstein field equations on smooth metric measure spacetimes of dimension 4, where the underlying manifold i…