Zobrazeno 1 - 10
of 243
pro vyhledávání: '"Galloway, Gregory"'
Autor:
Galloway, Gregory J., Ling, Eric
We establish a new CMC (constant mean curvature) existence result for cosmological spacetimes, i.e., globally hyperbolic spacetimes with compact Cauchy surfaces satisfying the strong energy condition. If the spacetime contains an expanding Cauchy sur
Externí odkaz:
http://arxiv.org/abs/2410.16619
Autor:
Galloway, Gregory J., Mendes, Abraão
In this note, we consider some initial data rigidity results concerning marginally outer trapped surfaces (MOTS). As is well known, MOTS play an important role in the theory of black holes and, at the same time, are interesting spacetime analogues of
Externí odkaz:
http://arxiv.org/abs/2407.16101
In this contribution, we study spacetimes of cosmological interest, without making any symmetry assumptions. We prove a rigid Hawking singularity theorem for positive cosmological constant, which sharpens known results. In particular, it implies that
Externí odkaz:
http://arxiv.org/abs/2407.04455
Autor:
Galloway, Gregory J., Mendes, Abraão
The aim of this paper is to extend some basic results about marginally outer trapped surfaces to the context of surfaces having general null expansion. Motivated in part by recent work of Chai-Wan, we introduce the notion of $\mathfrak{g}$-stability
Externí odkaz:
http://arxiv.org/abs/2404.02019
Autor:
Galloway, Gregory J., Ling, Eric
In this paper, we study rigidity aspects of Penrose's singularity theorem. Specifically, we aim to answer the following question: if a spacetime satisfies the hypotheses of Penrose's singularity theorem except with weakly trapped surfaces instead of
Externí odkaz:
http://arxiv.org/abs/2402.11315
Autor:
Galloway, Gregory J.
Marginally outer trapped surfaces (also referred to as apparent horizons) that are stable in 3-dimensional initial data sets obeying the dominant energy condition strictly are known to satisfy an area bound. The main purpose of this note is to show (
Externí odkaz:
http://arxiv.org/abs/2308.03728
Autor:
Galloway, Gregory J.
Under natural conditions, the null distance introduced by Sormani and Vega [10] is a metric space distance function on spacetime, which, in a certain precise sense, can encode the causality of spacetime. The null distance function requires the choice
Externí odkaz:
http://arxiv.org/abs/2306.17128
Autor:
Galloway, Gregory J., Mendes, Abraão
In this paper, we prove several rigidity results for compact initial data sets, in both the boundary and no boundary cases. In particular, under natural energy, boundary, and topological conditions, we obtain a global version of the main result in [1
Externí odkaz:
http://arxiv.org/abs/2301.00639
We prove uniqueness, existence, and regularity results for maximal hypersurfaces in spacetimes with a conformal completion at timelike infinity and asymptotically constant scalar curvature, as relevant for asymptotically AdS spacetimes. This work is
Externí odkaz:
http://arxiv.org/abs/2208.09893