11 problems

In solutions of Einstein's equations near a Big Bang singularity, asymptotically velocity term dominated (AVTD) behavior means that, with respect to a given coordinate system, the…

BKL conjecture. Within GR, for a generic inhomogeneous cosmology, the approach into the past to a spacelike singularity is vacuum dominated, local and oscillatory, obeying BKL or m…

Consider a globally hyperbolic $D$-dimensional cosmological spacetime $({\cal M}_{D},g)$ with $D\geq 4$, where ${\cal M}_{D}={\cal M}_{D-1}\times {\rm R}$, the compact connected or…

Near a Big Bang singularity in solutions of Einstein's equations, observers approaching the singularity may encounter successive epochs in which the solution behaves spatially homo…

Consider generic big bang singularities in cosmological solutions to Einstein's equations. The singularity may be spatially local, with behavior that is either oscillatory or quies…

Let initial data be prescribed on a big bang singularity, and consider quiescent solutions to Einstein's equations, meaning, roughly, solutions whose leading-order asymptotics are…

General relativity is a theory whose solutions describe the gravitational field and spacetime dynamics. A generic gravitational singularity is a singularity occurring in the generi…

In $3+1$-dimensional spacetimes, the BKL picture is the asymptotic scenario in which the singularity is spacelike and oscillatory, with asymptotic silence, matter becoming asymptot…

Strong-singularity conjecture. All curvature singularities that result in geodesic incompleteness are strong singularities.

BKL conjecture. The spacetime dynamics near generic spacelike singularities decouples into homogeneous patches.

An asymptotically de Sitter spacetime is considered, with its mass compared with the mass of de Sitter spacetime. De Sitter mass–singularity conjecture. Any such spacetime whose ma…