5 citations · 15 across the 12 of their papers we have counts for
13 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 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…
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…
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…
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 null geometry, energy-momentum map and applications to the constraint tensor
Marc Mars
We introduce and study the notion of null manifold. This is a smooth manifold endowed with a degenerate metric with one-dimensional radical at every point. We al…
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…
The trapped region
Lars Andersson
I will discuss some recent results on marginally outer trapped surfaces, apparent horizons, and the trapped region. A couple of applications of the results developed for marginally…