2 citations · 5 across the 6 of their papers we have counts for
9 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…
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…