3 papers
gr-qc2026
Abstract null hypersurfaces and characteristic initial value problems in General Relativity
Gabriel Sánchez-Pérez
This thesis is framed within the field of Mathematical Relativity and is organized into six chapters. After an introduction to the topic in Chapter 1, Chapter 2 reviews and further…
gr-qc2026
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 ,…
gr-qc2025
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…