3 papers
math.DG2025
Conformally weighted Einstein manifolds: the uniqueness problem
Miguel Brozos-Vázquez, Eduardo García-Río, Diego Mojón-Álvarez
We discuss smooth metric measure spaces admitting two weighted Einstein representatives of the same weighted conformal class. First, we describe the local geometries of such manifo…
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…