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Weak cosmic censorship for the circularly symmetric Einstein-scalar field system in dimensions
Serban Cicortas
We prove the weak cosmic censorship conjecture in spacetime dimensions for the circularly symmetric Einstein-scalar field system in the presence of a negative cosmological co…
Discretely self-similar exterior-naked singularities for the Einstein-scalar field system
Serban Cicortas, Christoph Kehle
The problem of constructing naked singularities in general relativity can be naturally divided into two parts: (i) the construction of the region exterior to the past light cone of…
Nonlinear Scattering Theory for Asymptotically de Sitter Vacuum Solutions in All Even Spatial Dimensions
Serban Cicortas
The purpose of this paper is to establish a definitive quantitative nonlinear scattering theory for asymptotically de Sitter solutions of the Einstein vacuum equations in d…
Scattering for the Wave Equation on de Sitter Space in All Even Spatial Dimensions
Serban Cicortas
For any even, we establish a complete scattering theory for the linear wave equation on the -dimensional de Sitter space. We prove the existence and uniqueness of s…
Extensions of Lorentzian Hawking--Page Solutions with Null Singularities, Spacelike Singularities, and Cauchy horizons of Taub--NUT type
Serban Cicortas
Starting from the Hawking--Page solutions, we consider the corresponding Lorentzian cone metrics. These represent cone interior scale-invariant vacuum solutions, defined in the chr…