13 problems

Let the maximal globally hyperbolic development of generic initial data be given, and let a Cauchy horizon arise in its spacetime development. Christodoulou's strong cosmic censors…

Let the Einstein–Maxwell-charged-scalar-field system be given by equations … , and consider generic, one-ended, asymptotically flat, complete spherically symmetric initial data. It…

Let $k$ be the curvature of the symmetric surfaces and let $\Lambda$ be the cosmological constant. Consider surface-symmetric cosmological spacetimes with collisionless matter and…

Let $\mathcal{H}^+$ be the future event horizon and let … is satisfied on $\mathcal{H}^+$. This is stated as a stronger conjecture implying the absence of future Cauchy horizons; t…

Let $k$ be the curvature of the symmetric surfaces, let $\Lambda$ be the cosmological constant, and consider generic initial data for the surface-symmetric Einstein-Vlasov system.…

Let a scalar field evolve on a subextreme Kerr black-hole interior, with initial data subject to the relevant perturbation class. The evolution reaches a Cauchy horizon across whic…

Consider spherically symmetric black-hole perturbations whose event-horizon scalar-field data exhibit oscillations. Strong Cosmic Censorship conjecture. Such oscillations are conje…

Consider solutions for which the scalar field profile on the event horizon belongs to the slowly decaying, non-oscillatory class relevant to the paper, and let the nonlinear repres…

Let $(\mathcal M,g,F,A,\phi)$ be a black hole solution of the Einstein–Maxwell–Klein–Gordon system arising from generic, spherically symmetric smooth Cauchy data on an asymptotical…

Let a spherically symmetric Einstein–Maxwell–Klein–Gordon black hole solution have characteristic data relaxing to a Reissner–Nordström event horizon, with scalar field and metric…

Let $\psi$ be a linear scalar perturbation of a Kerr--AdS black hole solving … with reflecting boundary conditions at infinity. Let $\mathfrak m=M\sqrt{-\Lambda}$ and…

Let $\alpha$ denote the relevant decay-rate or spectral-gap parameter for quasinormal modes of a Reissner–Nordström–de Sitter black hole, and let $\kappa_+$ and $\kappa_c$ be the s…

Let $\Sigma_0$ be a Cauchy hypersurface in a subextremal rotating Kerr spacetime, and let $\psi$ solve the linear wave equation … Assume the initial data on $\Sigma_0$ are smooth a…