On the charged Riemannian Penrose inequality with charged matter

@article{McCormick2019OnTC,
  title={On the charged Riemannian Penrose inequality with charged matter},
  author={S. McCormick},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2019}
}
  • S. McCormick
  • Published 2019
  • Physics, Mathematics
  • arXiv: General Relativity and Quantum Cosmology
  • Throughout the literature on the charged Riemannian Penrose inequality, it is generally assumed that there is no charged matter present; that is, the electric field is divergence-free. The aim of this article is to clarify when the charged Riemannian Penrose inequality holds in the presence of charged matter, and when it does not. First we revisit Jang's proof of the charged Riemannian Penrose inequality to show that under suitable conditions on the charged matter, this argument still carries… CONTINUE READING
    Geometric Inequalities for Quasi-Local Masses.
    • 4
    • PDF

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 29 REFERENCES
    The Riemannian Penrose Inequality with Charge for Multiple Black Holes
    • 25
    • Highly Influential
    • PDF
    PROOF OF THE RIEMANNIAN PENROSE INEQUALITY USING THE POSITIVE MASS THEOREM
    • 339
    • Highly Influential
    • PDF
    The inverse mean curvature flow and the Riemannian Penrose Inequality
    • 611
    • Highly Influential
    • PDF
    On the Riemannian Penrose inequality in dimensions less than 8
    • 92
    • PDF
    On the Penrose inequality for charged black holes
    • 30
    • PDF
    The Penrose Inequality
    • 59
    • PDF
    Positive mass theorems for black holes
    • 242
    On the Bartnik mass of apparent horizons
    • 33
    • PDF
    The mass of an asymptotically flat manifold
    • 610
    • PDF