8 problems

Radiative binding-energy conjecture.

Optimality conjecture. The choice of trial wave function used in the proof is optimal, in the sense that Equation holds as equality apart from errors of order…

Sharpness conjecture. Apart from errors of order $o(\alpha)$, Equation should hold with equality.

Let a one-parameter family of stationary solutions of the Einstein–Vlasov system be given, and let its binding energy curve have a first local maximum. Strong binding energy hypoth…

Consider isotropic steady states of the spherically symmetric, asymptotically flat Einstein–Vlasov system, organized into a one-parameter family by the central redshift $z_c$, and…

Let $(f_z)_{z>0}$ be a family of asymptotically flat steady states of the Einstein–Vlasov system with finite mass and compact support, parametrized by a suitable redshift factor…

Let $(f_z)_{z>0}$ be a family of asymptotically flat steady states of the Einstein–Vlasov system with finite mass and compact support, parametrized by a suitable redshift factor…

Maximum-binding-energy correspondence conjecture. If a configuration of maximum binding energy is observed in the Newtonian regime, then it is also observed in conformal relativity…