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math.DG2025
Conformal transformations of metric spaces and Lorentzian pre-length spaces
Miguel Manzano, Karim Mosani, Clemens Sämann +1
We introduce conformal transformations in the synthetic setting of metric spaces and Lorentzian (pre-)length spaces. Our main focus lies on the Lorentzian case, where, motivated by…
math.DG2025
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux
Miguel Manzano, Argam Ohanyan, Roland Steinbauer
The cut-and-paste method is a procedure for constructing null thin shells by matching two regions of the same spacetime across a null hypersurface. Originally proposed by Penrose,…