MathDB3 problems
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The ideal-gas approach conjecture for ultra-relativistic critical solutions
In general relativity, consider an ideal-gas equation of state and the corresponding ultra-relativistic equation of state, for which the pressure is proportional to the energy dens…
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The hoop conjecture for black-hole formation
A “mass” of matter is confined in a hoop whose radius in every direction is smaller than or equal to the corresponding Schwarzschild radius. Hoop conjecture. A black hole is fo…
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The conjecture that sufficiently large curvature of the unperturbed magnetic field causes unstable Hall modes
Curvature criterion for Hall instability. At least in simple geometries, the determining factor for the existence of unstable modes should be a sufficiently large second spatial de…