The Penrose inequality for perturbations of the Schwarzschild initial data

Published 3 Dec 2019 in gr-qc | (1912.01301v1)

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.

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