8 papers
Spacetime Bartnik Mass Positivity and Temporal Monotonicity for Black Holes
Lars Andersson, Marcus Khuri, Marc Mars +1
We define a quasilocal mass of Bartnik type, and establish its positivity and temporal monotonicity properties for two classes of domains associated with black holes. More precisel…
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 restrictio…
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…
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…
Marginally outer trapped tubes in de Sitter spacetime
Marc Mars, Walter Simon, Roland Steinbauer +1
We prove two results which are relevant for constructing marginally outer trapped tubes (MOTTs) in de Sitter spacetime. The first one holds more generally, namely for spacetimes sa…