7 citations · 8 across the 6 of their papers we have counts for
7 papers
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…
Horizon Data: Existence Results and a Near-Horizon Equation on General Null Hypersurfaces
Miguel Manzano, Marc Mars
In a spacetime , a horizon is a null hypersurface where the deformation tensor of a null and tangent vector satisfies certain restrictions.…
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,…
Null hypersurface data and ambient vector fields: Killing horizons of order zero/one
Miguel Manzano, Marc Mars
In this work, we study null hypersurfaces admitting a privileged vector field which is null and tangent at the hypersurface. We derive an identity that relates the deformation…
Abstract Formulation of the Spacetime Matching Problem and Null Thin Shells
Miguel Manzano, Marc Mars
The formalism of hypersurface data is a framework to study hypersurfaces of any causal character abstractly (i.e. without the need of viewing them as embedded in an ambient space).…
The constraint tensor for null hypersurfaces
Miguel Manzano, Marc Mars
In this work we provide a definition of the constraint tensor of a null hypersurface data which is completely explicit in the extrinsic geometry of the hypersurface. The definition…
General matching across Killing horizons of zero order
Miguel Manzano, Marc Mars
Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations of massless particles or impulsive waves. After recalling the necess…