4 problems
Let an asymptotically flat static perfect fluid spacetime be a solution satisfying the equations denoted by and. Fluid ball conjecture. Every such solution must be spherically symm…
Cosmological-horizon instability conjecture. Every horizon of cosmological type is necessarily unstable. In particular, every static solution to problem has at most one horizon of…
Dafermos–Holzegel conjecture. There are no static, globally regular asymptotically locally AdS solutions to the five-dimensional Einstein vacuum equations with topology…
Let be a complete solution of the Static Einstein equations with regular but possibly disconnected (non-empty) horizon . Suppose that the conformal m…