3 papers
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…
math.DG2023
Rigidity of weighted Einstein smooth metric measure spaces
Miguel Brozos-Vázquez, Diego Mojón-Álvarez
We study the geometric structure of weighted Einstein smooth metric measure spaces with weighted harmonic Weyl tensor. A complete local classification is provided, showing that eit…