Supersymmetric black holes cannot form in finite time from matter obeying the local mass-charge inequality, and a non-extremal black hole cannot evolve into a supersymmetric one in finite time.
Boundary value problems for Dirac--type equations, with applications
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We prove regularity for a class of boundary value problems for first order elliptic systems, with boundary conditions determined by spectral decompositions, under coefficient differentiability conditions weaker than previously known. We establish Fredholm properties for Dirac-type equations with these boundary conditions. Our results include sharp solvability criteria, over both compact and non-compact manifolds; weighted Poincare and Schroedinger-Lichnerowicz inequalities provide asymptotic control in the non-compact case. One application yields existence of solutions for the Witten equation with a spectral boundary condition used by Herzlich in his proof of a geometric lower bound for the ADM mass of asymptotically flat 3-manifolds.
citation-role summary
background 1
citation-polarity summary
fields
gr-qc 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
On the third law of black hole mechanics for supersymmetric black holes
Supersymmetric black holes cannot form in finite time from matter obeying the local mass-charge inequality, and a non-extremal black hole cannot evolve into a supersymmetric one in finite time.