3 papers
gr-qc2025
Transverse expansion of the metric at null hypersurfaces II. Existence results and application to Killing horizons
Marc Mars, Gabriel Sánchez-Pérez
This paper finishes the series of two papers that we started with [arXiv:2405.05377], where we analyzed the transverse expansion of the metric at a general null hypersurface. While…
gr-qc2025
Killing and homothetic initial data for general hypersurfaces
Marc Mars, Gabriel Sánchez-Pérez
In this paper we present a collection of general identities relating the deformation tensor of an arbitrary vector field with the tensor $Σ=\mat…
gr-qc2025
Transverse expansion of the metric at null hypersurfaces I. Uniqueness and application to Killing horizons
Marc Mars, Gabriel Sánchez-Pérez
This is the first in a series of two papers with sequel [arXiv:2501.03983] where we analyze the transverse expansion of the metric on a general null hypersurface. In this paper we…