The area-angular momentum inequality for black holes in cosmological spacetimes
The area-angular momentum inequality for black holes in cosmological spacetimes
For a stable, marginally outer trapped surface (MOTS) in an axially symmetric spacetime with cosmological constant and with matter satisfying the dominant energy condition, we prove that the area A and the angular momentum J satisfy the inequality , which is saturated precisely for the extreme Kerr–de Sitter family of …