2025/03/01 by Mihalis Dafermos · 9 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Differential geometry #Geometry #Mathematical physics #Mathematics #Physics #Stability (learning theory) #Theoretical physics
paper · pdf · doi:10.1007/s10714-025-03394-1
published in General Relativity and Gravitation 57(3) (Springer Science+Business Media)
openalex publication_date 2025/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
Abstract I present a series of conjectures aiming to describe the general dynamics of the Einstein equations of classical general relativity in the vicinity of extremal black holes. I will reflect upon how these conjectures transcend older paradigms concerning extremality and near-extremality, in particular, the so-called “third law of black hole thermodynamics”, which viewed extremality as an unattainable limit, and the “overspinning/overcharging” scenarios, which viewed extremality as a harbinger of naked singularities. Finally, I will outline some of the difficulties in proving these conjectures and speculate on what it could mean if the conjectures turn out not to be true.