3 problems
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Horowitz–Myers mass-minimization conjecture for flat toroidal infinity
Horowitz–Myers conjecture. Roughly speaking, any complete initial data set for the Einstein equations with flat toroidal conformal infinity should have mass bounded below by the ma…
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Mass-systole conjecture for generalized asymptotically flat manifolds
Mass-systole conjecture. If has nonnegative scalar curvature, then
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Conjecture on the multi-black-hole mass lower bound
Consider an initial data set with multiple black holes, represented by several horizon components, and let the lower bound for the mass be expressed in terms of the reduced harmoni…