MathDB7 problems
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Metcalf–Yang conjecture for the hard-hexagon growth constant
For the corresponding hard-hexagon problem on the triangular lattice, let denote the exponential growth constant of the number of admissible particle configurations at…
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Universality conjecture for the bulk densities in phases A and B
Universality conjecture. Throughout phases A and B,
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Critical separation conjecture for periodic rotating black holes
Consider periodic, coaxial, equidistant rotating black-hole configurations in which each horizon has area , angular momentum , and consecutive horizons are separated by a dis…
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Emary–Bishop conjecture on exact solutions at the remaining level crossings
Consider the two-photon Rabi model and its numerically obtained energy spectrum. Emary and Bishop identified a class of level crossings associated with exact solutions expressible…
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Chruściel's smooth-extension conjecture for Robinson–Trautman metrics
Let a Robinson–Trautman metric be given, and let denote its future horizon. Chruściel's conjecture. The only Robinson–Trautman metric admitting a completely smooth…
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Kerr-Schild metrics as exact solutions of null-vector aether theories
A null-vector aether theory is a modified-gravity theory containing a dynamical null vector instead of a unit timelike vector; its action is described in the source as analogous to…
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Godel type metrics with nonconstant as exact TeVeS solutions
The Godel type metrics considered here have a timelike vector field with component ; allowing to be nonconstant introduces a dilaton field, and TeVeS denotes a tenso…