5 papers
Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results
Weihao Zheng
This is the first part of a series of papers proving the nonlinear stability of a one-parameter family of continuously self-similar naked singularity solutions, with $0<…
Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations II: linearized stability
Jaydeep Singh, Weihao Zheng
This is the second part of a series of papers proving the nonlinear stability of a one-parameter family of continuous self-similar naked singularity solutions, with $0<Î…
Gradient estimates for -harmonic functions on Riemannian manifolds
Yuxin Dong, Hezi Lin, Weihao Zheng
In this paper, we study -harmonic functions on complete Riemannian manifolds using the Moser iteration method. A volume comparison theorem and a Sobolev embedding theorem ar…
Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes
Weihao Zheng
We construct one-parameter families of static spherically symmetric asymptotically anti-de Sitter black hole solutions to the Einstein-Maxwell-(charged)…
Exponentially-growing Mode Instability on Reissner-Nordström--Anti-de-Sitter black holes
Weihao Zheng
We construct growing mode solutions to the uncharged and charged Klein-Gordon equations on the sub-extremal Reissner-Nordström--anti-de-Sitter (AdS) spacetime under reflecting (Di…