English

The Penrose inequality for perturbations of the Schwarzschild initial data

General Relativity and Quantum Cosmology 2019-12-09 v1

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.

Keywords

Cite

@article{arxiv.1912.01301,
  title  = {The Penrose inequality for perturbations of the Schwarzschild initial data},
  author = {Jarosław Kopiński and Jacek Tafel},
  journal= {arXiv preprint arXiv:1912.01301},
  year   = {2019}
}

Comments

Paper accepted for publication in CQG