3 citations · 8 across the 10 of their papers we have counts for
10 papers
Formation of trapped surfaces for the spherically symmetric Einstein-Yang-Mills system with non-trivial incoming data
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
We establish a trapped surface formation theorem for the spherically symmetric Einstein Yang Mills equations in a double-null gauge. The theorem concerns characteristic initial dat…
Semi-Global Existence and Trapped Surface Formation for the Einstein-Vlasov System
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
In this article, we study the Einstein-Vlasov system for massless particles. Our main contribution is the provision of a novel method for controlling the Vlasov matter in a double…
A localized construction of Kasner-like singularities
Nikolaos Athanasiou, Grigorios Fournodavlos
We construct local, in spacetime, singular solutions to the Einstein vacuum equations that exhibit Kasner-like behavior in their past boundary. Our result can be viewed as a locali…
One-dimensional Carrollian fluids II: blow-up criteria
Nikolaos Athanasiou, P. Marios Petropoulos, Simon Schulz +1
The Carrollian fluid equations arise from the equations for relativistic fluids in the limit as the speed of light vanishes, and have recently experienced a surge of interest in th…
One-dimensional Carrollian fluids I: Carroll-Galilei duality
Nikolaos Athanasiou, P. Marios Petropoulos, Simon Schulz +1
Galilean and Carrollian algebras acting on two-dimensional Newton-Cartan and Carrollian manifolds are isomorphic. A consequence of this property is a duality correspondence between…
Formation of trapped surfaces in the Einstein-Yang-Mills system
Nikolaos Athanasiou, Puskar Mondal, Shing-Tung Yau
We prove a scale-invariant, semi-global existence result and a trapped surface formation result in the context of coupled Einstein-Yang-Mills theory, without symmetry assumptions.…
Development of singularities in the relativistic Euler equations
Nikolaos Athanasiou, Tianrui Bayles-Rea, Shengguo Zhu
The purpose of this paper is to study the phenomenon of singularity formation in large data problems for classical solutions to the Cauchy problem of the relativistic Euler equatio…
Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality
Nikolaos Athanasiou, Martin Lesourd
Based on scale critical initial data, we construct smooth asymptotically flat Cauchy initial data for the Einstein vacuum system that does not contain Marginally Outer Trapped Surf…
A scale-critical trapped surface formation criterion for the Einstein-Maxwell system
Xinliang An, Nikolaos Athanasiou
In this study we show that, from arbitrarily dispersed initial data, both the concentration of electromagnetic fields and the focusing of gravitational waves could lead to the form…
Formation of singularities for the Relativistic Euler equations
Nikolaos Athanasiou, Shengguo Zhu
This paper contributes to the study of large data problems for solutions of the relativistic Euler equations. In the -dimensional spacetime setting, if the initial dat…