5 papers
Transverse expansion of the metric at null infinity
Marc Mars, Gabriel Sánchez-Pérez
In this paper we analyze the conformal Einstein equations to all orders at null infinity without imposing any restriction on the spacetime dimension, the topology of ,…
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.…
Conformal characterization of the Fefferman-Graham ambient metric
Marc Mars, Gabriel Sánchez-Pérez
In this paper, we study the asymptotic structure of the Fefferman-Graham ambient metric. We prove that every straight ambient metric admits a conformal completion with a well-defin…
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=\mathca…
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…