# The Penrose inequality for perturbations of the Schwarzschild initial data

@article{Kopiski2019ThePI, title={The Penrose inequality for perturbations of the Schwarzschild initial data}, author={J Kopiński and J Tafel}, journal={Classical and Quantum Gravity}, year={2019}, volume={37} }

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.

## 2 Citations

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