The Penrose inequality for perturbations of the Schwarzschild initial data
arXiv:1912.01301 · doi:10.1088/1361-6382/ab57b2
Abstract
We show that in the conformally flat case the Penrose inequality is satisfied for the Schwarzschild initial data with a small addition of the axially symmetric traceless exterior curvature. In this class the inequality is saturated only for data related to special sections of the Schwarzschild spacetime.
Paper accepted for publication in CQG